MATE CCSS I/Tema 5- Estadistica Unidimensional/Ejercicios complementarios Pregunta 1_w Calcula la media, moda y mediana del siguiente conjunto de datos :

     #datos.

En lugar de la coma decimal, utilizar el punto.

Media ={#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 Calcula la varianza y la desviación típica de los datos que se recogen en la siguiente tabla :

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

En lugar de la coma decimal, utilizar el punto.

Desviación Típica= {#1}

Varianza= {#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>x1</mi><mo>=</mo><mi>desviacion_estandar</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>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></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>10.903</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>118.87</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 Dos alumnos de 4º de ESO, Pedro y Antonio, tienen de nota media en Lengua 4,5. Pero la desviación típica de las notas de Pedro es 3,16 y la desviación típica de Antonio es 1,2. Calcula el coeficiente de variación en los dos casos y averigua qué alumno es más regular en sus estudios.

En lugar de la coma decimal, utilizar el punto.

Coeficiente de variación para Pedro= {#1}

Coeficiente de variación para Antonio= {#2}

Es más regular {#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 Dados los siguientes conjuntos de números:

a) #datos1

b) #datos2

Averigua cuáles de los dos están más agrupados entorno a la media, es decir, cuáles están menos dispersos.

Elige la opción adecuada   {#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>suma1</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></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>suma2</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></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mfrac><mrow><mi>desviacion_estandar</mi><mo>(</mo><mi>datos1</mi><mo>)</mo><mo>*</mo><msqrt><mrow><mi>suma1</mi><mo>-</mo><mn>1</mn></mrow></msqrt></mrow><msqrt><mi>suma1</mi></msqrt></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><mfrac><mrow><mi>desviacion_estandar</mi><mo>(</mo><mi>datos2</mi><mo>)</mo><mo>*</mo><msqrt><mrow><mi>suma2</mi><mo>-</mo><mn>1</mn></mrow></msqrt></mrow><msqrt><mi>suma2</mi></msqrt></mfrac></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>122</mn><mo>,</mo><mn>119</mn><mo>,</mo><mn>140</mn><mo>,</mo><mn>139</mn><mo>,</mo><mn>137</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>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>8</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>4</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 Calcula la media y la moda del siguiente conjunto de datos :

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

En lugar de la coma decimal, utilizar el punto.

Media= {#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 Las puntuaciones obtenidas por 25 participantes en un estudio tienen la siguiente distribución.

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

Se pide calcular la puntuación media y los cuartiles de la distribución.

 En lugar de la coma decimal, utilizar el punto.

Media={#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 En una empresa con 100 empleados se ha realizado una encuesta y se han recogido los siguientes datos sobre el número de hijos/as.

Número de hijos Frecuencia
0 #a
1 #b
2 #c
3 #d

Se pide:

  1. completar la tabla de distribución con las frecuencias relativas, absolutas acumuladas y relativas acumuladas.
  2. Calcular la media, la mediana y la desviación típica.

 En lugar de la coma decimal, utilizar el punto.

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}

 

Media={#13}
Mediana= {#14}
Desviación típica= {#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><mfrac><mrow><mi>desviacion_estandar</mi><mo>(</mo><mi>datos</mi><mo>)</mo><mo>*</mo><mn>99</mn></mrow><mn>100</mn></mfrac></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>1.33</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>31</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>15</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>22</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>32</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>46</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>68</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>0.31</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 Un alumno ha obtenido las siguientes notas en la asignatura de matemáticas:

     #datos.

Calcula la varianza y la desviación típica
 
 
En lugar de la coma decimal, utilizar el punto. 
Varianza =  {#1}
Desviación típica =  {#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>x1</mi><mo>=</mo><mi>desviacion_estandar</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"><mtable><mtr><mtd><mi>dt</mi><mo>=</mo><mfrac><mrow><mi>desviacion_estandar</mi><mo>(</mo><mi>datos</mi><mo>)</mo><mo>*</mo><msqrt><mn>7</mn></msqrt></mrow><msqrt><mn>8</mn></msqrt></mfrac></mtd></mtr><mtr><mtd><mi>var</mi><mo>=</mo><msup><mi>dt</mi><mn>2</mn></msup></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>var</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.6094</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>1.6154</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.7269</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>2.9821</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 Calcula la media, moda y mediana del siguiente conjunto de datos :

     #datos.

 

En lugar de la coma decimal, utilizar el punto.

Media ={#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 Calcula el primer y tercer cuartil del siguiente conjunto de datos :

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

 En lugar de la coma decimal, utilizar el punto.

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 Calcula la media y la moda del siguiente conjunto de datos :

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

En lugar de la coma decimal, utilizar el punto.

Media= {#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 ¿De qué tipo es el siguiente gráfico?

 

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 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Gráfico de sectores

]]> Gráfico de barras

]]> Histograma

]]> Polígono de frecuencias

]]> Pregunta_3 Para obtener el valor central de un conjunto ordenado de datos, es decir, aquel valor que la mitad son menores o iguales que él y la otra mitad mayores o iguales a él, tendríamos que obtener:

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> La mediana

]]> La moda

]]> La media

]]> El primer cuartil

]]> Pregunta_4 El cuartil superior Q3 es:

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Una medida de centralización

]]> Una medida de posición

]]> Una medida de dispersión

]]> Una permutación de 3 elementos

]]> Pregunta_5 El coeficiente de variación se utiliza para:

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Calcular las dispersiones de dos conjuntos de datos expresados en distintas unidades.

]]> Calcular las varaciones con repetición.

]]> Calcular la variación que hay entre todas las medidas de dispersión.

]]> Calcular la variación que hay entre la varianza y la desviación típica.

]]> Pregunta_6 Las medidas de dispersión se utilizan para:

]]> 1.0000000 0.3333333 0 true true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Informarnos sobre la dispersión del conjunto de datos con respecto a la media.

]]> Informarnos sobre la dispersión del conjunto de datos con respecto a la mediana.

]]> Informarnos sobre la dispersión del conjunto de datos con respecto a la moda.

]]> Informarnos sobre la dispersión del conjunto de datos con respecto a los cuartiles.

]]> MATE CCSS I/Tema 5- Estadistica Unidimensional/Galdetegiak egiteko Ariketa_1 Las edades de los empleados de una empresa son los siguientes: 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.

Construye la tabla de frecuencias correspondiente.

 En lugar de la coma decimal, utilizar el punto.

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 Las alturas de los alumnos de una clase de bachillerato en centímetros son: 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. Agrupa estos datos en una tabla: Agrúpalos en intervalos de 5 centímetros. Empieza con [160,165)

Calcula la moda, mediana, media, cuartiles, P24, D8, P55, recorridos, desviación media, varianza, desviación típica y coeficiente de variación.

 

 En lugar de la coma decimal, utilizar el punto.

Moda ={#1}   Moda ={#2}    Mediana= {#3}         Media={#4}      

1º cuartil = {#5}     2º cuartil = {#6}       3º cuartil = {#7}

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

Recorrido = {#11}       Recorrido intercuartilico = {#12}

Desviación media = {#13}                 Varianza = {#14}
 
Desviación típica= {#15}                      C. Variación = {#16}

 

 

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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 En una librería han anotado el número de libros que ha comprado cada persona que ha entrado en la tienda.

La siguiente tabla resume la información:

Nº de libros

0

1

2

3

4

5

6

Nº de personas

3

22

18

7

2

1

1

 

 

 

Calcula la moda, mediana, media, cuartiles, P15, D3, P86, recorridos, desviación media, varianza, desviación típica y coeficiente de variación.

 En lugar de la coma decimal, utilizar el punto.

Moda ={#1}         Mediana= {#2}         Media={#3}      

1º cuartil = {#4}     2º cuartil = {#5}       3º cuartil = {#6}

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

Recorrido = {#10}       Recorrido intercuartilico = {#11}

Desviación media = {#12}                 Varianza = {#13}
 
Desviación típica= {#14}                      C. Variación = {#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 En una gasolinera estudian el número de vehículos que repostan a lo largo de un día, obteniendo:

 

Horas

[0,4)

[4,8)

[8,12)

[12,16)

[16,20)

[20,24)

Nº vehiculos

6

14

110

120

150

25

 

Calcula la moda, mediana, media, cuartiles, P95, D7, P60, recorridos, desviación media, varianza, desviación típica y coeficiente de variación.

 

 En lugar de la coma decimal, utilizar el punto.

Moda ={#1}         Mediana= {#2}         Media={#3}      

1º cuartil = {#4}     2º cuartil = {#5}       3º cuartil = {#6}

P96 = {#7}                  D7 = {#8}                 P60= {#9}

Recorrido = {#10}       Recorrido intercuartilico = {#11}

Desviación media = {#12}                 Varianza = {#13}
 
Desviación típica= {#14}                      C. Variación = {#15}

 

 

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xmlns="http://www.w3.org/1998/Math/MathML"><mi>dm</mi><mo>=</mo><mn>3</mn><mo>.</mo><mn>423</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12.599</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>4.186</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>17.523</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>0.29041</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_2 Las alturas de los alumnos de una clase de bachillerato en centímetros son: 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. Agrupa estos datos en una tabla: Agrúpalos en intervalos de 5 centímetros indicando las marcas de clase y las frecuencias.

 En lugar de la coma decimal, utilizar el punto.

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>datos</mi><mo>=</mo><mi>ordenar</mi><mo>{</mo><mtext>172,</mtext><mo> </mo><mtext>170,</mtext><mo> </mo><mtext>180,</mtext><mo> </mo><mtext>167,</mtext><mo> </mo><mtext>168,</mtext><mo> </mo><mtext>175,</mtext><mo> </mo><mtext>184,</mtext><mo> </mo><mtext>185,</mtext><mo> </mo><mtext>184,</mtext><mo> </mo><mtext>170,</mtext><mo> </mo><mtext>175,</mtext><mo> </mo><mtext>163,</mtext><mo> </mo><mtext>183,</mtext><mo> </mo><mtext>174,</mtext><mo> </mo><mtext>185,</mtext><mo> </mo><mtext>172,</mtext><mo> </mo><mtext>184,</mtext><mo> </mo><mtext>185,</mtext><mo> </mo><mtext>176,</mtext><mo> </mo><mtext>185,</mtext><mo> </mo><mtext>181,</mtext><mo> </mo><mtext>173,</mtext><mo> </mo><mtext>194,</mtext><mo> </mo><mtext>173,</mtext><mo> </mo><mtext>183,</mtext><mo> </mo><mtext>182,</mtext><mo> </mo><mtext>165,</mtext><mo> </mo><mtext>168,</mtext><mo> </mo><mtext>168</mtext><mo> </mo><mo>,</mo><mo> </mo><mtext>174</mtext><mo>}</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>163</mn><mo>,</mo><mn>165</mn><mo>,</mo><mn>167</mn><mo>,</mo><mn>168</mn><mo>,</mo><mn>168</mn><mo>,</mo><mn>168</mn><mo>,</mo><mn>170</mn><mo>,</mo><mn>170</mn><mo>,</mo><mn>172</mn><mo>,</mo><mn>172</mn><mo>,</mo><mn>173</mn><mo>,</mo><mn>173</mn><mo>,</mo><mn>174</mn><mo>,</mo><mn>174</mn><mo>,</mo><mn>175</mn><mo>,</mo><mn>175</mn><mo>,</mo><mn>176</mn><mo>,</mo><mn>180</mn><mo>,</mo><mn>181</mn><mo>,</mo><mn>182</mn><mo>,</mo><mn>183</mn><mo>,</mo><mn>183</mn><mo>,</mo><mn>184</mn><mo>,</mo><mn>184</mn><mo>,</mo><mn>184</mn><mo>,</mo><mn>185</mn><mo>,</mo><mn>185</mn><mo>,</mo><mn>185</mn><mo>,</mo><mn>185</mn><mo>,</mo><mn>194</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</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>30</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>160</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>160</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>165</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>165</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mn>170</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>170</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mn>175</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>175</mn></math></output></command><command><input><math 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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 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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 Las notas obtenidas por Iñigo en Euskera durante el curso son:3, 4, 5, 7, 6, 5, 6, 8, 6, 4, 7 y 6. Calcula la moda, mediana, media, cuartiles, P28, D6, P92, recorridos, desviación media, varianza, desviación típica y coeficiente de variación.

 En lugar de la coma decimal, utilizar el punto.

 

Moda ={#1}      Mediana= {#2}         Media={#3}      

1º cuartil = {#4}     2º cuartil = {#5}       3º cuartil = {#6}

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

Recorrido = {#10}       Recorrido intercuartilico = {#11}

Desviación media = {#12}                 Varianza = {#13}
 
Desviación típica= {#14}                      C. Variación = {#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 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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 Hemos medido las alturas de 36 alumnos de una clase de 1º de bachillerato y hemos obtenido los datos que se reflejan en la tabla. Calcula la moda, mediana, media, cuartiles, P22, D3, P55, recorridos, desviación media, varianza, desviación típica y coeficiente de variación.

Altura(metros)

[1,50 – 1,57)

[1,57 – 1,64)

[1,64 – 1,71)

[1,71 – 1,78)

[1,78 – 1,85)

[1,85 – 1,92)

Nº alumnos (fi)

1

4

11

10

8

2

 

En lugar de la coma decimal, utilizar el punto.

 Moda ={#1}      Mediana= {#2}         Media={#3}      

1º cuartil = {#4}     2º cuartil = {#5}       3º cuartil = {#6}

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

Recorrido = {#10}       Recorrido intercuartilico = {#11}

Desviación media = {#12}                 Varianza = {#13}
 
Desviación típica= {#14}                      C. Variación = {#15}
 

 

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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 1.- En la tabla se indica el número de calzado de 32 alumnos:

Número (xi)

37

38

39

40

41

42

43

44

Nº alumnos (fi)

3

2

4

7

4

5

4

3

 Calcula la moda, mediana, media, cuartiles, P28, D6, P92, recorridos, desviación media, varianza, desviación típica y coeficiente de variación.

En lugar de la coma decimal, utilizar el punto.

 

 Moda ={#1}      Mediana= {#2}         Media={#3}      

1º cuartil = {#4}     2º cuartil = {#5}       3º cuartil = {#6}

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

Recorrido = {#10}       Recorrido intercuartilico = {#11}

Desviación media = {#12}                 Varianza = {#13}
 
Desviación típica= {#14}                      C. Variación = {#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 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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 Las edades de los empleados de una empresa son los siguientes: 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.

Calcula la moda, mediana, media, cuartiles, P12, D3, P45, recorridos, desviación media, varianza, desviación típica y coeficiente de variación

 En lugar de la coma decimal, utilizar el punto.

Moda ={#1}      Mediana= {#2}         Media={#3}      

1º cuartil = {#4}     2º cuartil = {#5}       3º cuartil = {#6}

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

Recorrido = {#10}       Recorrido intercuartilico = {#11}

Desviación media = {#12}                 Varianza = {#13}
 
Desviación típica= {#14}                      C. Variación = {#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><mtext>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,</mtext><mo> </mo><mtext>25,</mtext><mo> </mo><mtext>23,36,32,25,29,37,34, 23,27,35,32,24,38,33,35,</mtext><mn>31</mn><mtext>,29,30,26,31,39,34,30,27,29,36,32,30,28,33,29,28, 25,31,24</mtext><mo>}</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable 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open="|"><mrow><mtext>33</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>29</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>28</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>25</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>31</mtext><mo>-</mo><mi>med</mi></mrow></mfenced><mtext>,</mtext><mfenced close="|" open="|"><mrow><mtext>24</mtext><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 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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>4.0704</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>4.7346</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>22.417</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>0.1573</mn></math></output></command></group><group><command><input><math 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