MATE GGZZ I/5. Gaia-Estadistika dimentsio bakarra/Ariketa gehigarriak Pregunta 1_w Kalkulatu batez bestekoa, moda eta mediana taula honetan agertzen diren emaitzetan:

     #datos.

Balio hamartarra sartzeko erabili puntua ( . )

Batez bestekoa ={#1}
Moda ={#2}
Mediana ={#3}

 

]]> 3.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>g</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>2</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>3</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>4</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>5</mn><mo>→</mo><mi>d</mi><mo>,</mo><mn>6</mn><mo>→</mo><mi>e</mi><mo>,</mo><mn>7</mn><mo>→</mo><mi>f</mi><mo>,</mo><mn>8</mn><mo>→</mo><mi>g</mi><mo>]</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>handia</mi><mo>=</mo><mi>maximo</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>,</mo><mi>f</mi><mo>,</mo><mi>g</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>contar_elemento</mi><mo>(</mo><mo>{</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>,</mo><mi>f</mi><mo>,</mo><mi>g</mi><mo>}</mo><mo>,</mo><mi>handia</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>med</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>medi</mi><mo>=</mo><mi>mediana</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>mo</mi><mo>=</mo><mi>moda</mi><mfenced><mi>datos</mi></mfenced></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>med</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.57</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>medi</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>mo</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8.</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 10_w Kalkulatu taula honetan jasotzen diren datuen bariantza eta desbiderapen tipikoa:

Xi Maiztasuna
(44,50] #a
(50,56] #b
(56,62] #c
(62,68] #d
(68,74] #e
(74,80] #f

Balio hamartarra sartzeko erabili puntua ( . )

 

Desbiderapen tipikoa= {#1}

Bariantza= {#2}

]]> 2.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>47</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>53</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>59</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>65</mn><mo>→</mo><mi>d</mi><mo>,</mo><mn>71</mn><mo>→</mo><mi>e</mi><mo>,</mo><mn>77</mn><mo>→</mo><mi>f</mi><mo>]</mo><mo>)</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><mi>variancia</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>suma</mi><mo>:</mo><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi><mo>+</mo><mi>e</mi><mo>+</mo><mi>f</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9.1597</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>83.901</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 11_w DBHko 4. mailako bi ikaslek, Pedrok eta Antoniok, 4,5eko nota dute batez beste Gaztelanian. Baina Pedroren noten desbiderapen tipikoa 3,16 da, eta Antonioren desbiderapen tipikoa 1,2 da. Kalkulatu aldakuntza-koefizientea bi kasuetan eta asmatu zer ikasle den erregularragoa ikasketetan.

Balio hamartarra sartzeko erabili puntua ( . )

Aldakuntza-koefizientea Pedrorentzat= {#1}

Aldakuntza-koefizientea Antoniorentzat= {#2}

Erregularragoa da  {#3}

]]> 3.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cvp</mi><mo>=</mo><mfrac><mrow><mn>3</mn><mo>.</mo><mn>16</mn></mrow><mrow><mn>4</mn><mo>.</mo><mn>5</mn></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.70222</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cva</mi><mo>=</mo><mfrac><mrow><mn>1</mn><mo>.</mo><mn>2</mn></mrow><mrow><mn>4</mn><mo>.</mo><mn>5</mn></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.26667</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 12_w Zenbaki multzo hauek izanik:

a) #datos1

b) #datos2

Asmatu bietatik zein dagoen hurbilago batez bestekotik; hots, zein ez dagoen hain sakabanatuta.

 

Aukeratu egokia  {#1}

]]> 1.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>140</mn><mo>)</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>140</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>140</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>140</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>j</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>140</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>datos1</mi><mo>=</mo><mo>{</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>datos2</mi><mo>=</mo><mo>{</mo><mi>f</mi><mo>,</mo><mi>g</mi><mo>,</mo><mi>h</mi><mo>,</mo><mi>i</mi><mo>,</mo><mi>j</mi><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x11</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x21</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv1</mi><mo>=</mo><mfrac><mi>x1</mi><mi>x11</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv2</mi><mo>=</mo><mfrac><mi>x2</mi><mi>x21</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>cv1</mi><mo>&lt;</mo><mi>cv2</mi></mrow><mtable><mtr><mtd><mi>correcto</mi><mo>=</mo><mi>datos1</mi></mtd></mtr><mtr><mtd><mi>falsos</mi><mo>=</mo><mi>datos2</mi></mtd></mtr></mtable><mtable><mtr><mtd><mi>correcto</mi><mo>=</mo><mi>datos2</mi></mtd></mtr><mtr><mtd><mi>falsos</mi><mo>=</mo><mi>datos1</mi></mtd></mtr></mtable></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>correcto</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>119</mn><mo>,</mo><mn>124</mn><mo>,</mo><mn>117</mn><mo>,</mo><mn>104</mn><mo>,</mo><mn>107</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>falsos</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>10</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>9</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.84508</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.10909</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 14_w Kalkulatu batez bestekoa eta  moda taula honetan agertzen diren emaitzetan:

Xi Maiztasuna
(0,1] #a
(1,2] #b
(2,3] #c
(3,4] #d
(4,5] #e

Balio hamartarra sartzeko erabili puntua ( . )

Batez bestekoa = {#1}

Moda = {#2}

]]> 2.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>1</mn><mo>.</mo><mn>5</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>2</mn><mo>.</mo><mn>5</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>3</mn><mo>.</mo><mn>5</mn><mo>→</mo><mi>d</mi><mo>,</mo><mn>4</mn><mo>.</mo><mn>5</mn><mo>→</mo><mi>e</mi><mo>]</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>handia</mi><mo>=</mo><mi>maximo</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>contar_elemento</mi><mo>(</mo><mo>{</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>}</mo><mo>,</mo><mi>handia</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>me</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>mo</mi><mo>=</mo><mi>moda</mi><mfenced><mi>datos</mi></mfenced></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>me</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.5909</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>mo</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 16_w Ikerketa baten parte hartu duten 25 pertsonen puntuazioak ondorengo taulan agertzen dira.

Puntuazioa Maiztasuna
33 #a
37 #b
38 #c
39 #d
40 #e
42 #f
43 #g
45 #h
47 #i
50 #j
59 #k
66 #l

Kalkulatu batez besteko puntuazioa eta banaketaren kuartilak.

Balio hamartarra sartzeko erabili puntua ( . )

 

Batez bestekoa ={#1}
Q1= {#2}
Q2= {#3}
Q3= {#4}
 

 

]]> 4.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>g</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>h</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>i</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>j</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>k</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>l</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>33</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>37</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>38</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>39</mn><mo>→</mo><mi>d</mi><mo>,</mo><mn>40</mn><mo>→</mo><mi>e</mi><mo>,</mo><mn>42</mn><mo>→</mo><mi>f</mi><mo>,</mo><mn>43</mn><mo>→</mo><mi>g</mi><mo>,</mo><mn>45</mn><mo>→</mo><mi>h</mi><mo>,</mo><mn>47</mn><mo>→</mo><mi>i</mi><mo>,</mo><mn>50</mn><mo>→</mo><mi>j</mi><mo>,</mo><mn>59</mn><mo>→</mo><mi>k</mi><mo>,</mo><mn>66</mn><mo>→</mo><mi>l</mi><mo>]</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>q1</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>1</mn><mo>,</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>q3</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>3</mn><mo>,</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>q2</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>2</mn><mo>,</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>med</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr></mtable><mrow><mfenced><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi><mo>+</mo><mi>e</mi><mo>+</mo><mi>f</mi><mo>+</mo><mi>g</mi><mo>+</mo><mi>h</mi><mo>+</mo><mi>i</mi><mo>+</mo><mi>j</mi><mo>+</mo><mi>k</mi><mo>+</mo><mi>l</mi></mrow></mfenced><mo>=</mo><mn>25</mn></mrow></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>q1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>39.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>q2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>43.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>q3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>50.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>med</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>44.96</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 17_w 100 langileko enpresa batean inkesta bat egin da eta ondorengo datuak jaso dira seme-alaba kopuruari buruz.

Seme-alaba kop. Maiztasuna
0 #a
1 #b
2 #c
3 #d

Kalkulatu:

  1. Osatu ondorengo maiztasun taula.
  2. Kalkulatu batez bestekoa, mediana eta desbideratze tipikoa.

Balio hamartarra sartzeko erabili puntua ( . )

 

Xi fi Fi hi Hi
0 #a {#1}  {#2}  {#3}
1 #b {#4}  {#5}  {#6}
2 #c {#7}  {#8}  {#9}
3 #d {#10}  {#11}  {#12}

 

Batez bestekoa={#13}
Mediana= {#14}
Desbideratze tipikoa = {#15}
 

 

]]> 24.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>40</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>0</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>1</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>2</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>3</mn><mo>→</mo><mi>d</mi><mo>]</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>q2</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>2</mn><mo>,</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>med</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>dt</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr></mtable><mrow><mfenced><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi></mrow></mfenced><mo>=</mo><mn>100</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mfrac><mi>a</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi><mo>=</mo><mfrac><mi>b</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>j</mi><mo>=</mo><mfrac><mi>c</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mfrac><mi>d</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mfrac><mi>a</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mo>=</mo><mfrac><mi>e</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mfrac><mi>f</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>=</mo><mfrac><mi>g</mi><mrow><mn>100</mn><mo>.</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>q2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>med</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>32</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>c</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>35</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>30</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>e</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>35</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>f</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>70</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>g</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>100</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>h</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.03</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.8565</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 2_w Ikasle batek nota hauek lortu ditu Matematikan:

     #datos.

Kalkulatu bariantza eta desbiderapen tipikoa.

 Balio hamartarra sartzeko erabili puntua ( . )
 
Bariantza =  {#1}
Desbiderapen tipikoa =  {#2}
 

 

]]> 2.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>g</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>,</mo><mi>f</mi><mo>,</mo><mi>g</mi><mo>,</mo><mi>h</mi><mo>]</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><mi>variancia</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>var</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>var</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9.4375</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>dt</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3.0721</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10.786</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 7_w Kalkulatu batez bestekoa, moda eta mediana taula honetan agertzen diren emaitzetan:

     #datos.

Balio hamartarra sartzeko erabili puntua ( . )

 

Batez bestekoa ={#1}
Moda ={#2}
Mediana ={#3}

 

]]> 3.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>5</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>10</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>12</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>15</mn><mo>→</mo><mi>d</mi><mo>,</mo><mn>20</mn><mo>→</mo><mi>e</mi><mo>]</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>handia</mi><mo>=</mo><mi>maximo</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>contar_elemento</mi><mo>(</mo><mo>{</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>}</mo><mo>,</mo><mi>handia</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>med</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>medi</mi><mo>=</mo><mi>mediana</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>mo</mi><mo>=</mo><mi>moda</mi><mfenced><mi>datos</mi></mfenced></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>med</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12.556</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>medi</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>mo</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>15.</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 8_w Kalkulatu taula honetan agertzen diren emaitzen beheko eta goiko kuartilak ( Q1 :eta Q2  ):

Xi Maiztasuna
2 #a
3 #b
4 #c
5 #d
6 #e
7 #f
8 #g

Balio hamartarra sartzeko erabili puntua ( . )

 

Q1= {#1}
Q3= {#2}
 

 

]]> 2.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>g</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>2</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>3</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>4</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>5</mn><mo>→</mo><mi>d</mi><mo>,</mo><mn>6</mn><mo>→</mo><mi>e</mi><mo>,</mo><mn>7</mn><mo>→</mo><mi>f</mi><mo>,</mo><mn>8</mn><mo>→</mo><mi>g</mi><mo>]</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>q1</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>1</mn><mo>,</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>q2</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>3</mn><mo>,</mo><mi>datos</mi><mo>)</mo></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>q1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>q2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.5</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta 9_w Kalkulatu batez bestekoa eta moda taula honetan agertzen diren emaitzetan:

Xi Maiztasuna
(44,50] #a
(50,56] #b
(56,62] #c
(62,68] #d
(68,74] #e
(74,80] #f

Balio hamartarra sartzeko erabili puntua ( . )

 

Batez bestekoa = {#1}

Moda= {#2}

]]> 2.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>e</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>f</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>datos</mi><mo>=</mo><mi>lista</mi><mo>(</mo><mo>[</mo><mn>47</mn><mo>→</mo><mi>a</mi><mo>,</mo><mn>53</mn><mo>→</mo><mi>b</mi><mo>,</mo><mn>59</mn><mo>→</mo><mi>c</mi><mo>,</mo><mn>65</mn><mo>→</mo><mi>d</mi><mo>,</mo><mn>71</mn><mo>→</mo><mi>e</mi><mo>,</mo><mn>77</mn><mo>→</mo><mi>f</mi><mo>]</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>handia</mi><mo>=</mo><mi>maximo</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>,</mo><mi>f</mi><mo>)</mo></mtd></mtr></mtable><mrow><mi>contar_elemento</mi><mo>(</mo><mo>{</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>,</mo><mi>e</mi><mo>,</mo><mi>f</mi><mo>}</mo><mo>,</mo><mi>handia</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>me</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>mo</mi><mo>=</mo><mi>moda</mi><mfenced><mi>datos</mi></mfenced></mtd></mtr></mtable></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>me</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>60.909</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>mo</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>53.</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Pregunta_15 Zer motatakoa da grafiko hau?:

 

 

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 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Sektore-grafikoa.

]]> Barra-grafikoa.

]]> Histograma

]]> Maiztasun-poligonoa.

]]> Pregunta_3 Datu-multzo ordenatu baten balio zentrala lortzeko; hots, erdia balioa bera baino txikiagoa edo berdina denean eta beste erdia handiagoa edo txikiagoa den balioa lortzeko, hau lortu beharko genuke:

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Mediana

]]> Moda

]]> Batez bestekoa

]]> 1. koartila

]]> Pregunta_4 Q3 goiko kuartila hau da:

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Zentralizazio-neurri bat.

]]> Posizio-neurri bat.

]]> Sakabanatze-neurri bat.

]]> 3 elementuren permutazioa.

]]> Pregunta_5 Aldakuntza-koefizientea (  bariazio koefizientea ) honetarako erabiltzen da:

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Unitate desberdinetan adierazitako bi datu-multzoren sakabanatzeak kalkulatzeko.

]]> Errepikatuzko aldakuntzak kalkulatzeko.

]]> Sakabanatze-neurri guztien artean dagoen aldakuntza kalkulatzeko.

]]> Bariantzaren eta desbiderapen tipikoaren artean dagoen aldakuntza kalkulatzeko.

]]> Pregunta_6 Sakabanatze-neurriak honetarako erabiltzen dira:

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Datu-multzoak batez bestekoarekiko duen sakabanatzeari buruzko informazioa emateko.

]]> Datu-multzoak medianarekiko duen sakabanatzeari buruzko informazioa emateko.

]]>  Datu-multzoak modarekiko duen sakabanatzeari buruzko informazioa emateko.

]]> Datu-multzoak kuartilekiko duen sakabanatzeari buruzko informazioa emateko.

]]> MATE GGZZ I/5. Gaia-Estadistika dimentsio bakarra/Galdetegiak egiteko Ariketa_1 Enpresa bateko enplegatuen adinak honakoak dira:  22, 27,35, 23, 37, 24, 31, 28, 24, 38, 23, 36, 25, 37, 22, 34, 27, 29, 28, 32, 35, 36, 26, 34, 33, 25, 23, 36, 32, 25, 29, 37, 34, 23, 27, 35, 32, 24, 38, 33, 35, 31, 29, 30, 26, 31, 39, 34, 30, 27, 29, 36, 32, 30, 28, 33, 29, 28, 25, 31, 24.

Egizu adin horien maiztasun absolutu eta erlatiboen taula.

 Erabili puntua (.) balio hamartarrak ematerakoan.

Xi fi Fi hi Hi
{#1} {#2} {#3} {#4} {#5}
{#6} {#7} {#8} {#9} {#10}
{#11} {#12} {#13} {#14} {#15}
{#16} {#17} {#18} {#19} {#20}
{#21} {#22} {#23} {#24} {#25}
{#26} {#27} {#28} {#29} {#30}
{#31} {#32} {#33} {#34} {#35}
{#36} {#37} {#38} {#39} {#40}
{#41} {#42} {#43} {#44} {#45}
{#46} {#47} {#48} {#49} {#50}
{#51} {#52} {#53} {#54} {#55}
{#56} {#57} {#58} {#59} {#60}
{#61} {#62} {#63} {#64} {#65}
{#66} {#67} {#68} {#69} {#70}
{#71} {#72} {#73} {#74} {#75}
{#76} {#77} {#78} {#79} {#80}
{#81} {#82} {#83} {#84} {#85}
{#86} {#87} {#88} {#89} {#90}

 

 

 

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xmlns="http://www.w3.org/1998/Math/MathML"><mi>p4</mi><mo>=</mo><mfrac><mi>p1</mi><mrow><mn>61</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>o4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.98</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q4</mi><mo>=</mo><mfrac><mi>q1</mi><mrow><mn>61</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>p4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_10 Hona batxilergoko gela bateko ikasleen altuerak zentimetrotan: 172, 170, 180, 167, 168, 175, 184, 185, 184, 170, 175, 163, 183, 174, 185, 172, 184, 185, 176, 185, 181, 173, 194, 173, 183, 182, 165, 168, 168 y 174. Bildu datu horiek taula batean:taldeka itzazu bost zentimetroko tartetan. Hasi [160,165) tartearekin.

Kalkula ezazu moda,mediana,batez bestekoa,kuartilak,P24,D8,P55,ibiltarteak, batez besteko desbideratzea,bariantza,desbideratze estandarra eta bariazio koefizientea.

 Erabili puntua (.) balio hamartarrak ematerakoan.

 

Moda ={#1}       Moda ={#2}        Mediana= {#3}          Batez bestekoa={#4}      

1. kuartila = {#5}     2. kuartila = {#6}       3. kuartila = {#7}

P24 = {#8}              D8 = {#9}                    P55 = {#10}

Ibiltartea = {#11}          Kuartilarteko ibiltartea = {#12}

Batez besteko desbideratzea = {#13}                  Bariantza = {#14}

 Desbideratze estandarra= {#15}                             Bariazio koef. = {#16}

 

 

 

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align="center"><mtr><mtd><mn>14.667</mn><mo>,</mo><mn>9.6667</mn><mo>,</mo><mn>9.6667</mn><mo>,</mo><mn>9.6667</mn><mo>,</mo><mn>9.6667</mn><mo>,</mo><mn>9.6667</mn><mo>,</mo><mn>4.6667</mn><mo>,</mo><mn>4.6667</mn><mo>,</mo><mn>4.6667</mn><mo>,</mo><mn>4.6667</mn><mo>,</mo><mn>4.6667</mn><mo>,</mo><mn>4.6667</mn><mo>,</mo><mn>4.6667</mn><mo>,</mo><mn>4.6667</mn><mo>,</mo><mn>0.33333</mn><mo>,</mo><mn>0.33333</mn><mo>,</mo><mn>0.33333</mn><mo>,</mo><mn>5.3333</mn><mo>,</mo><mn>5.3333</mn><mo>,</mo><mn>5.3333</mn><mo>,</mo><mn>5.3333</mn><mo>,</mo><mn>5.3333</mn><mo>,</mo><mn>5.3333</mn><mo>,</mo><mn>5.3333</mn><mo>,</mo><mn>5.3333</mn><mo>,</mo><mn>10.333</mn><mo>,</mo><mn>10.333</mn><mo>,</mo><mn>10.333</mn><mo>,</mo><mn>10.333</mn><mo>,</mo><mn>15.333</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dm</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos1</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.6889</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7.6303</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>58.222</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv</mi><mo>=</mo><mfrac><mi>dt</mi><mi>med</mi></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.043069</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_11 Liburu denda batean sartu den bezero bakoitzak erosi duen liburu kopurua apuntatu dute.Ondorengo taulak laburtzen du informazioa

Liburu kop.

0

1

2

3

4

5

6

Pertsona kop.

3

22

18

7

2

1

1

 

 

 Kalkulatu moda,mediana,batez bestekoa,kuartilak,P15,D3,P86,ibiltarteak, batez besteko desbideratzea, bariantza,desbideratze estandarra eta bariazio koefizientea.

Erabili puntua (.) balio hamartarrak ematerakoan.

 

Moda ={#1}            Mediana= {#2}          Batez bestekoa={#3}      

1. kuartila = {#4}     2. kuartila = {#5}       3. kuartila = {#6}

P15 = {#7}              D3 = {#8}                    P86= {#9}

Ibiltartea = {#10}          Kuartilarteko ibiltartea = {#11}

Batez besteko desbideratzea = {#12}                  Bariantza = {#13}

 Desbideratze estandarra= {#14}                             Bariazio koef. = {#15}

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xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><mi>longitud</mi><mo>(</mo><mi>datos1</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>54</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dm</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos1</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.86557</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.1559</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.3361</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv</mi><mo>=</mo><mfrac><mi>dt</mi><mi>med</mi></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.63692</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_12 Gasolindegi baten zenbat autok erregaia bota duten aztertu da,taulakoa lortuz:

Orduak

[0,4)

[4,8)

[8,12)

[12,16)

[16,20)

[20,24)

Auto kop.

6

14

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Kalkulatu moda,mediana,batez bestekoa,kuartilak,P60,D7,P95,ibiltarteak, batez besteko desbideratzea,bariantza,desbideratze estandarra eta bariazio koefizientea.

 Erabili puntua (.) balio hamartarrak ematerakoan.

 

Moda ={#1}            Mediana= {#2}          Batez bestekoa={#3}      

1. kuartila = {#4}     2. kuartila = {#5}       3. kuartila = {#6}

P60 = {#7}              D7 = {#8}                    P95 = {#9}

Ibiltartea = {#10}          Kuartilarteko ibiltartea = {#11}

Batez besteko desbideratzea = {#12}                  Bariantza = {#13}

Desbideratze estandarra= {#14}                             Bariazio koef. = {#15}

 

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xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_2 Hona batxilergoko gela bateko ikasleen altuerak zentimetrotan:  172, 170, 180, 167, 168, 175, 184, 185, 184, 170, 175, 163, 183, 174, 185, 172, 184, 185, 176, 185, 181, 173, 194, 173, 183, 182, 165, 168, 168 y 174. .Bildu datu horiek taula batean:taldeka itzazu bost zentimetroko tartetan, eta esan zein den bakoitzari dagozkion klase-marka eta maiztasun absolutua eta erlatiboa.


 Erabili puntua (.) balio hamartarrak ematerakoan.

Xi mi fi Fi hi Hi
[160,165) {#1} {#2} {#3} {#4} {#5}
[{#6},{#7}) {#8} {#9} {#10} {#11} {#12}
[{#13},{#14}) {#15} {#16} {#17} {#18} {#19}
[{#20},{#21}) {#22} {#23} {#24} {#25} {#26}
[{#27},{#28}) {#29} {#30} {#31} {#32} {#33}
[{#34},{#35}) {#36} {#37} {#38} {#39} {#40}
[{#41},{#42}) {#43} {#44} {#45} {#46} {#47}

 

 

 

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xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mn>180</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>180</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>185</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>185</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mn>190</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>190</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mn>195</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>195</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m1</mi><mo>=</mo><mn>162</mn><mo>.</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m2</mi><mo>=</mo><mn>167</mn><mo>.</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m3</mi><mo>=</mo><mn>172</mn><mo>.</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m4</mi><mo>=</mo><mn>177</mn><mo>.</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m5</mi><mo>=</mo><mn>182</mn><mo>.</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m6</mi><mo>=</mo><mn>187</mn><mo>.</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m7</mi><mo>=</mo><mn>192</mn><mo>.</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><mn>5</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><mn>8</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mn>8</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mn>4</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a2</mi><mo>=</mo><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi><mo>=</mo><mi>b1</mi><mo>+</mo><mi>a2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi><mo>=</mo><mi>c1</mi><mo>+</mo><mi>b2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>14</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d2</mi><mo>=</mo><mi>d1</mi><mo>+</mo><mi>c2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>17</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>e1</mi><mo>+</mo><mi>d2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>25</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>f1</mi><mo>+</mo><mi>e2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>29</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi><mo>=</mo><mi>g1</mi><mo>+</mo><mi>f2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>30</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>precision</mi><mo>(</mo><mn>3</mn><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a3</mi><mo>=</mo><mfrac><mi>a1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.0333</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b3</mi><mo>=</mo><mfrac><mi>b1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.167</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c3</mi><mo>=</mo><mfrac><mi>c1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.267</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mfrac><mi>d1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>=</mo><mfrac><mi>e1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.267</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mfrac><mi>f1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.133</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g3</mi><mo>=</mo><mfrac><mi>g1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.0333</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a4</mi><mo>=</mo><mi>a3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.0333</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b4</mi><mo>=</mo><mfrac><mi>b1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>a4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c4</mi><mo>=</mo><mfrac><mi>c1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>b4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.467</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d4</mi><mo>=</mo><mfrac><mi>d1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>c4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.567</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e4</mi><mo>=</mo><mfrac><mi>e1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>d4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.833</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f4</mi><mo>=</mo><mfrac><mi>f1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>e4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.967</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g4</mi><mo>=</mo><mfrac><mi>g1</mi><mrow><mn>30</mn><mo>.</mo></mrow></mfrac><mo>+</mo><mi>f4</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_6 Hona Iñigok ikasturtean zehar Hizkuntzan ateratako notak:3, 4, 5, 7, 6, 5, 6, 8, 6, 4, 7 y 6. Aurki ezazu moda,mediana,bataz bestekoa,kuartilak, P28,D6,P92,ibiltarteak,batez besteko desbideratzea,bariantza,desbideratze estandarra eta bariazio koefizientea.

Erabili puntua (.) balio hamartarrak ematerakoan.

 

Moda ={#1}      Mediana= {#2}         Batez bestekoa={#3}      

1. kuartila = {#4}     2. kuartila = {#5}       3. kuartila = {#6}

P28 = {#7}                  D6 = {#8}                 P92 = {#9}

Ibiltartea = {#10}       Kuartilarteko ibiltartea = {#11}

Batez besteko desbideratzea = {#12}                 Bariantza = {#13}
 
Desbideratze estandarra= {#14}                      Bariazio koef. = {#15}

 

 

]]> 15.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>datos</mi><mo>=</mo><mo>{</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>8</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>6</mn><mo>}</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>8</mn><mo>,</mo><mn>6</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>6</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l</mi><mo>=</mo><mi>longitud</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mo</mi><mo>=</mo><mi>moda</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q2</mi><mo>=</mo><mi>mediana</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>med</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.5833</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q1</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>1</mn><mo>,</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q2</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>2</mn><mo>,</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q3</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>3</mn><mo>,</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6.5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p28</mi><mo>=</mo><mn>5</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d6</mi><mo>=</mo><mn>6</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p92</mi><mo>=</mo><mn>8</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mn>5</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ri</mi><mo>=</mo><mi>q3</mi><mo>-</mo><mi>q1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>datos1</mi><mo>=</mo><mo>{</mo><mfenced close="|" open="|"><mrow><mn>3</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>4</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>5</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>7</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>6</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>5</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>6</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>8</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>6</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>4</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>7</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>6</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>}</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2.5833</mn><mo>,</mo><mn>1.5833</mn><mo>,</mo><mn>0.58333</mn><mo>,</mo><mn>1.4167</mn><mo>,</mo><mn>0.41667</mn><mo>,</mo><mn>0.58333</mn><mo>,</mo><mn>0.41667</mn><mo>,</mo><mn>2.4167</mn><mo>,</mo><mn>0.41667</mn><mo>,</mo><mn>1.5833</mn><mo>,</mo><mn>1.4167</mn><mo>,</mo><mn>0.41667</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>l1</mi><mo>=</mo><mi>longitud</mi><mo>(</mo><mi>datos1</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dm</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos1</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.1528</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.3819</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.9097</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv</mi><mo>=</mo><mfrac><mi>dt</mi><mi>med</mi></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.24751</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_7  Batxilergoko lehen mailako gela bateko 36 ikasleen altuerak neurtu eta taulan ageri diren emaitzak atera dira.Aurki ezazu gela horretako ikasleen arteko altuerarik arruntena.Aurki ezazu moda,mediana,batez bestekoa,kuartilak,P22,D3,P55,ibiltarteak,batez besteko desbideratzea,bariantza,desbideratze estandarra eta bariazio koefizientea.

Altuera(metrotan)

[1,50 – 1,57)

[1,57 – 1,64)

[1,64 – 1,71)

[1,71 – 1,78)

[1,78 – 1,85)

[1,85 – 1,92)

Ikasle kop.(fi)

1

4

11

10

8

2

 Erabili puntua (.) balio hamartarrak ematerakoan.

 

Moda ={#1}            Mediana= {#2}          Batez bestekoa={#3}      

 

1. kuartila = {#4}     2. kuartila = {#5}       3. kuartila = {#6}

 

P22 = {#7}              D3 = {#8}                    P55= {#9}

 

Ibiltartea = {#10}          Kuartilarteko ibiltartea = {#11}

 

Batez besteko desbideratzea = {#12}                  Bariantza = {#13}

 

 

 

Desbideratze estandarra= {#14}                             Bariazio koef. = {#15}

 

 

 

]]> 15.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>datos</mi><mo>=</mo><mo>{</mo><mn>1</mn><mo>.</mo><mn>535</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>605</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>605</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>605</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>605</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>675</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>675</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>675</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>675</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>675</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>675</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>675</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>675</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>675</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>675</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>675</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>745</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>745</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>745</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>745</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>745</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>745</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>745</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>745</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>745</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>745</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>815</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>815</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>815</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>815</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>815</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>815</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>815</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>815</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>885</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>885</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mo</mi><mo>=</mo><mi>moda</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q2</mi><mo>=</mo><mi>mediana</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>med</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q1</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>1</mn><mo>,</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q2</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>2</mn><mo>,</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q3</mi><mo>=</mo><mi>cuartil</mi><mo>(</mo><mn>3</mn><mo>,</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p22</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>675</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d3</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>675</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p55</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>745</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>35</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ri</mi><mo>=</mo><mi>q3</mi><mo>-</mo><mi>q1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>datos1</mi><mo>=</mo><mo>{</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>535</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>605</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>605</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>605</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>605</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>675</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>675</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>675</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" 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open="|"><mrow><mn>1</mn><mo>.</mo><mn>745</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>745</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>815</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>815</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>815</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>815</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>815</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>815</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>815</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>815</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>885</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>1</mn><mo>.</mo><mn>885</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dm</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv</mi><mo>=</mo><mfrac><mi>dt</mi><mi>med</mi></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dm</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.068272</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>med</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.7256</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.081852</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_8  Hona taula honetan talde bateko 32 ikasleek erabiltzen dituzten zapata zenbakiak:

Zenbakia (xi)

37

38

39

40

41

42

43

44

Ikasle kop, (fi)

3

2

4

7

4

5

4

3

Aurki ezazu moda,mediana,batez bestekoa,kuartilak,P28,D6,P92,ibiltarteak,batez besteko desbideratzea,bariantza,desbideratze estandarra eta bariazio koefizientea.

Erabili puntua (.) balio hamartarrak ematerakoan.

 

Moda ={#1}            Mediana= {#2}          Batez bestekoa={#3}      

1. kuartila = {#4}     2. kuartila = {#5}       3. kuartila = {#6}

P28 = {#7}              D6 = {#8}                    P92 = {#9}

Ibiltartea = {#10}          Kuartilarteko ibiltartea = {#11}

Batez besteko desbideratzea = {#12}                  Bariantza = {#13}

Desbideratze estandarra= {#14}                             Bariazio koef. = {#15}

]]> 15.0000000 0.1000000 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>datos</mi><mo>=</mo><mo>{</mo><mn>37</mn><mo>,</mo><mn>37</mn><mo>,</mo><mn>37</mn><mo>,</mo><mn>38</mn><mo>,</mo><mn>38</mn><mo>,</mo><mn>39</mn><mo>,</mo><mn>39</mn><mo>,</mo><mn>39</mn><mo>,</mo><mn>39</mn><mo>,</mo><mn>40</mn><mo>,</mo><mn>40</mn><mo>,</mo><mn>40</mn><mo>,</mo><mn>40</mn><mo>,</mo><mn>40</mn><mo>,</mo><mn>40</mn><mo>,</mo><mn>40</mn><mo>,</mo><mn>41</mn><mo>,</mo><mn>41</mn><mo>,</mo><mn>41</mn><mo>,</mo><mn>41</mn><mo>,</mo><mn>42</mn><mo>,</mo><mn>42</mn><mo>,</mo><mn>42</mn><mo>,</mo><mn>42</mn><mo>,</mo><mn>42</mn><mo>,</mo><mn>43</mn><mo>,</mo><mn>43</mn><mo>,</mo><mn>43</mn><mo>,</mo><mn>43</mn><mo>,</mo><mn>44</mn><mo>,</mo><mn>44</mn><mo>,</mo><mn>44</mn><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mo</mi><mo>=</mo><mi>moda</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math 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open="|"><mrow><mn>40</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>40</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>40</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>40</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>41</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>41</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>41</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>41</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>42</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>42</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>42</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>42</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>42</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>43</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>43</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>43</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>43</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>44</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>44</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>,</mo><mfenced close="|" open="|"><mrow><mn>44</mn><mo>-</mo><mi>med</mi></mrow></mfenced><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dm</mi><mo>=</mo><mi>media</mi><mo>(</mo><mi>datos1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi><mo>=</mo><mi>desviacion_estandar_n</mi><mo>(</mo><mi>datos</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cv</mi><mo>=</mo><mfrac><mi>dt</mi><mi>med</mi></mfrac></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dm</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.7188</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>med</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>40.656</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dt</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.0404</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ariketa_9 Enpresa bateko enplegatuen adinak honakoak dira: 22, 27,35, 23, 37, 24, 31, 28,

24, 38, 23, 36, 25, 37, 22, 34, 27, 29, 28, 32, 35, 36, 26, 34, 33, 25, 23, 36, 32, 25, 29, 37, 34,

23, 27, 35, 32, 24, 38, 33, 35, 31, 29, 30, 26, 31, 39, 34, 30, 27, 29, 36, 32, 30, 28, 33, 29, 28,

25, 31, 24.

Kalkula ezazu moda,mediana,batez bestekoa,kuartilak,P12,D3,P45,ibiltarteak, batez besteko desbideratzea,bariantza,desbideratze estandarra eta bariazio koefizientea.

Erabili puntua (.) balio hamartarrak ematerakoan.

Moda ={#1}            Mediana= {#2}          Batez bestekoa={#3}      

1. kuartila = {#4}     2. kuartila = {#5}       3. kuartila = {#6}

P12 = {#7}              D3 = {#8}                    P45 = {#9}

Ibiltartea = {#10}          Kuartilarteko ibiltartea = {#11}

Batez besteko desbideratzea = {#12}                  Bariantza = {#13}
 
Desbideratze estandarra= {#14}                             Bariazio koef. = {#15}

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