1rBTX 06. ESTADÍSTICA/1.6.2 Unidimensional 1.6.2.71Q DesviacióTípicaTaula A partir de la taula

X_i	F_i
#x_1	#n_1
#x_2	#n_2
#x_3	#n_3
#x_4	#n_4
#x_5	#n_5
#x_6	#n_6
TOTAL	=#s

Determina la mitjana i la desviació típica (és l'arrel de la variància).

Arrodoneix tots els resultats als centèsims.

]]> 1.0000000 0.5000000 0 0 a) Mitjana=#sol1b) σ =#sol2]]> <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_1</mi><mo>=</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>21</mn><mo>,</mo><mn>31</mn><mo>,</mo><mn>41</mn><mo>,</mo><mn>51</mn><mo>,</mo><mn>61</mn><mo>,</mo><mn>71</mn></mtd></mtr></mtable></mfenced></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_2</mi><mo>=</mo><mi>x_1</mi><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_3</mi><mo>=</mo><mi>x_1</mi><mo>+</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_4</mi><mo>=</mo><mi>x_1</mi><mo>+</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_5</mi><mo>=</mo><mi>x_1</mi><mo>+</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_6</mi><mo>=</mo><mi>x_1</mi><mo>+</mo><mn>5</mn></math></input></command><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>n_1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>19</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n_2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>19</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n_3</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>19</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n_4</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>19</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n_5</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>19</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n_6</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>19</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>s</mi><mo>=</mo><mi>n_1</mi><mo>+</mo><mi>n_2</mi><mo>+</mo><mi>n_3</mi><mo>+</mo><mi>n_4</mi><mo>+</mo><mi>n_5</mi><mo>+</mo><mi>n_6</mi></mtd></mtr><mtr><mtd/></mtr></mtable><mrow><mo>(</mo><mi>s</mi><mo> </mo><mi>mod</mi><mo> </mo><mn>10</mn><mo>)</mo><mo>=</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f_1</mi><mo>=</mo><mfrac><mi>n_1</mi><mi>s</mi></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f_2</mi><mo>=</mo><mfrac><mi>n_2</mi><mi>s</mi></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f_3</mi><mo>=</mo><mfrac><mi>n_3</mi><mi>s</mi></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f_4</mi><mo>=</mo><mfrac><mi>n_4</mi><mi>s</mi></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f_5</mi><mo>=</mo><mfrac><mi>n_5</mi><mi>s</mi></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f_6</mi><mo>=</mo><mfrac><mi>n_6</mi><mi>s</mi></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r_1</mi><mo>=</mo><mi>x_1</mi><mo>*</mo><mi>f_1</mi><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r_2</mi><mo>=</mo><mi>x_2</mi><mo>*</mo><mi>f_2</mi><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r_3</mi><mo>=</mo><mi>x_3</mi><mo>*</mo><mi>f_3</mi><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r_4</mi><mo>=</mo><mi>x_4</mi><mo>*</mo><mi>f_4</mi><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r_5</mi><mo>=</mo><mi>x_5</mi><mo>*</mo><mi>f_5</mi><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r_6</mi><mo>=</mo><mi>x_6</mi><mo>*</mo><mi>f_6</mi><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m_1</mi><mo>=</mo><mi>r_1</mi><mo>+</mo><mi>r_2</mi><mo>+</mo><mi>r_3</mi><mo>+</mo><mi>r_4</mi><mo>+</mo><mi>r_5</mi><mo>+</mo><mi>r_6</mi></math></input></command><command><input><math 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open="|"><mrow><mi>m</mi><mo>-</mo><mi>x_3</mi></mrow></mfenced></mfenced><mn>2</mn></msup><mo>*</mo><mi>f_3</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d_4</mi><mo>=</mo><msup><mfenced><mfenced close="|" open="|"><mrow><mi>m</mi><mo>-</mo><mi>x_4</mi></mrow></mfenced></mfenced><mn>2</mn></msup><mo>*</mo><mi>f_4</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d_5</mi><mo>=</mo><msup><mfenced><mfenced close="|" open="|"><mrow><mi>m</mi><mo>-</mo><mi>x_5</mi></mrow></mfenced></mfenced><mn>2</mn></msup><mo>*</mo><mi>f_5</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d_6</mi><mo>=</mo><msup><mfenced><mfenced close="|" open="|"><mrow><mi>m</mi><mo>-</mo><mi>x_6</mi></mrow></mfenced></mfenced><mn>2</mn></msup><mo>*</mo><mi>f_6</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mfenced><mrow><mn>100</mn><mo>*</mo><mfenced><msqrt><mrow><mi>d_1</mi><mo>+</mo><mi>d_2</mi><mo>+</mo><mi>d_3</mi><mo>+</mo><mi>d_4</mi><mo>+</mo><mi>d_5</mi><mo>+</mo><mi>d_6</mi></mrow></msqrt></mfenced></mrow></mfenced></mrow><mn>100</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mo>=</mo><mfenced close="]" open="["><mrow><mi>x_1</mi><mo>→</mo><mi>n_1</mi><mo>,</mo><mi>x_2</mi><mo>→</mo><mi>n_2</mi><mo>,</mo><mi>x_3</mi><mo>→</mo><mi>n_3</mi><mo>,</mo><mi>x_4</mi><mo>→</mo><mi>n_4</mi><mo>,</mo><mi>x_5</mi><mo>→</mo><mi>n_5</mi><mo>,</mo><mi>x_6</mi><mo>→</mo><mi>n_6</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mo>=</mo><mi>variància_n</mi><mo>(</mo><mi>L</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mfrac><mrow><mi>arrodoneix</mi><mo>(</mo><mn>100</mn><mo>*</mo><msqrt><mi>v</mi></msqrt><mo>)</mo></mrow><mn>100</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol1</mi><mo>=</mo><mi>m</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi><mo>=</mo><mi>t</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tolerància</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>01</mn><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x_1</mi><mo>,</mo><mi>x_2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>31</mn><mo>,</mo><mn>32</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n_1</mi><mo>,</mo><mi>n_2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo>,</mo><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</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>sol1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>34.14</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.58</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo> </mo><mi>M</mi><mi mathvariant="normal">i</mi><mi>t</mi><mi mathvariant="normal">j</mi><mi>a</mi><mi>n</mi><mi>a</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>)</mo><mo> </mo><mi>σ</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Fes-ho amb Excel

X_i	F_i	f_i	x_i · f_i	«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mo mathcolor=¨#00007F¨»\|«/mo»«mover mathcolor=¨#00007F¨»«mi»x«/mi»«mo»§#175;«/mo»«/mover»«mo mathcolor=¨#00007F¨»-«/mo»«msub mathcolor=¨#00007F¨»«mi mathcolor=¨#00007F¨»x«/mi»«mi»i«/mi»«/msub»«msup mathcolor=¨#00007F¨»«mo»\|«/mo»«mn»2«/mn»«/msup»«mo mathcolor=¨#00007F¨»§#183;«/mo»«msub mathcolor=¨#00007F¨»«mi mathcolor=¨#00007F¨»f«/mi»«mi»i«/mi»«/msub»«/mrow»«/mstyle»«/math»
#x_1	#n_1	#f_1	#r_1	#d_1
#x_2	#n_2	#f_2	#r_2	#d_2
#x_3	#n_3	#f_3	#r_3	#d_3
#x_4	#n_4	#f_4	#r_4	#d_4
#x_5	#n_5	#f_5	#r_5	#d_5
#x_6	#n_6	#f_6	#r_6	#d_6
TOTAL	#s	1

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