Question

Compute the sample variance for the following scores: 25, 36, 41, 28, 29, 32, 39, 37, 34, 34, 37, 35, 30, 36, 31, 31

Answer 1

Answer:

Step-by-step explanation:

From the given information:

The mean $\hat x = \dfrac{\sum x}{n}$

$\hat x = \dfrac{25+36+41+28+29+32+29+37+34+34+37+35+30+36+31+31}{16}$

$\overline{x} = \dfrac{535}{16}$

$\overline{x} = 33.44$

The sample variance is as follows:

$S^2 = \dfrac{\sum dx^2 - ( \dfrac{\sum dx)^2}{n} )}{n-1}$

$S^2 = \dfrac{279- ( \dfrac{7}{15} )^2}{15}$

$S^2 = 18.585$