Question

Consider the following data set [92, 103, 88, 96, 109, 77, 86, 92, 95, 90, 105), what is a sample variance?

Answer 1

Using Microsoft Excel, I calculated variance. It is 84.5

Explanation:

Variance is `=(Sigma(x-x_(ave))^2)/(n-1)`

n is 11.
When you compute variance, you get `=845/10 = 84.5`

In here `x_(ave)=94`

I computed the values using MS Excel.

x (x-xave)^2
92 4
103 81
88 36
96 4
109 225
77 289
86 64
92 4
95 1
90 16
105 121
SUM:1033 SUM:845
x_ave=94