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Varianza y Desviación Estándar - 8.º grado

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Varianza y Desviación Estándar - 8.º grado

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Varianza y desviación para 8.º grado

Created by

Frank Nuñez
Frank Nuñez
Colombia

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Varianza y Desviación Estándar - 8.º grado
 

Varianza y Desviación Estándar - 8.º gradoOnline version

Varianza y desviación para 8.º grado

by Frank Nuñez
1

¿Qué mide la varianza en un conjunto de datos?

2

¿Cómo se calcula la varianza de una muestra?

3

¿Qué es la desviación estándar?

4

Si los datos son 2,4,6,8,10, ¿cuál es la varianza poblacional?

5

Si los datos son 1,2,3,4,5, ¿cuál es la varianza poblacional?

6

¿Qué indica la desviación estándar respecto a las unidades de los datos?

7

Si la varianza es 0, ¿qué implica?

8

¿Qué diferencia hay entre varianza poblacional y muestral?

9

Con datos 3,3,5,7,9, ¿varianza muestral?

10

¿Qué indica una desviación estándar alta?

Explicación

La varianza cuantifica cuánto se apartan los datos de la media.

Se suman las diferencias al cuadrado y se dividen entre n-1 (muestra).

La SD mantiene las mismas unidades que los datos.

Varianza poblacional usa divisor n; aquí resulta 8.

La media es 3; las diferencias al cuadrado suman 10, dividido entre 5 da 2.

La SD conserva las unidades originales de los datos.

Varianza = 0 significa que no hay dispersión.

La varianza muestral ajusta por grados de libertad con n-1.

Varianza muestral = 27.2/(5-1) = 6.8.

Mayor SD = mayor dispersión respecto a la media.

 
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