Question

Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 8,13,6,18,7,15,15,18,6,5.

Answer 1

Solution:

x	x2
8	64
13	169
6	36
18	324
7	49
15	225
15	225
18	324
6	36
5	25
x=111	x2=1477

Population Variance

σ²=( x² ) - (( x)² / n ) n

=(1477-(111)²10)10

=(1477-1232.1)10

=244.9/10

=24.49

Population Variance σ²= 24.49

Population Standard deviation

σ =( x² ) - (( x)² / n ) n

=(1477-(111)²10)10

=(1477-1232.1)10

= 244.9/10

=24.49

= 4.948

Population Standard deviation σ = 4.948