The following data values represent a population. what is the variance of the values 8,10,14,4

A. 9

B. 10

C. 14

D. 13

First, we find the mean (average) ...

(8 + 10 + 14 + 4) / 4 = 36/4 = 9

now subtract the mean (9) from every number in the data ... then square it.

8 - 9 = - 1 ... - 1^2 = 1

10 - 9 = 1 ... 1^2 = 1

14 - 9 = 5 ... 5^2 = 25

4 - 9 = - 5 ... - 5^2 = 25

now take the mean of ur results

(1 + 1 + 25 + 25) / 4 = 52/4 = 13 < = = this is ur variance ... and if u wanted to find the standard deviation, u would just take the square root of 13.