Question

In: Finance

what is the population variance of the following set of numbers 3,5,8,9,10?

what is the population variance of the following set of numbers 3,5,8,9,10?

Solutions

Expert Solution

First we have to compute the mean

Add all the numbers

3+5+8+9+10 =35

To determine the mean 35 to be divided by 5

Mean = 7

To determine the variance the difference between the number and mean to be calculated

3-7= -4

5-7=-2

8-7=1

9-7=2

10-7=3

Variance = summation of squares of the differences

               = -4^2 +(-2)^2+1^2+2^2+3^2

             = 16+4+1+4+9

             =34

Standard deviation = variance

                               =34

                               = 5.83

Population variance is 5.83


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