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2)  La varianza de los datos  $6$ ; $4$ ; $8$ y $10$, es:

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     A)  $3$

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     B)  $4$

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     C)  $5$

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     D)  $6$ 

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Para determinar la varianza de los datos $6$ ; $4$ ; $8$ y $10$, debemos realizar los siguientes pasos:

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Paso 1: Calcular el promedio o media aritmética de los datos (recuerda que es la suma de los datos dividido por el total de datos)
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[[0]]

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              $\\overline{x}=$________ $=$ [[2]]

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[[1]]

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Paso 2: A cada dato le restamos el promedio y el valor obtenido lo elevamos al cuadrado:
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$($[[2]]$-6)^2=($[[3]]$)^2=$[[4]]

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$($[[2]]$-4)^2=($[[5]]$)^2=$[[6]]

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$($[[2]]$-8)^2=($[[7]]$)^2=$[[8]]

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$($[[2]]$-10)^2=($[[9]]$)^2=$[[10]]

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Paso 3: Los valores obtenidos en el paso 2 se promedian para así obtener la varianza $\\sigma^2$, es decir se suman y se divide por el total de valores obtenidos en el paso 2.
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[[4]]$+$[[6]]$+$[[8]]$+$[[10]]       [[11]]

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            $\\sigma^2=$ _______________________________________ $=$ _______  $=$ [[13]]

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                                                                               [[12]]                                           [[12]]                                         

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Por lo tanto, la respuesta correcta es: [[14]]

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