Which of the following choices is the variance of the sample

Which of the following choices is the variance of the sample shown here? 30, 32. 47, 57, 66, 79 371.8 309.2 205.5 17.6 19.2

Solution

Variance : The average of the squared differences from the Mean.

Mean = ( 30 +32 + 47 + 57 + 66 + 79)/6 = 51.83

sample size= 6

Variance ={ ( 30-51.83)^2 + ( 32- 51.83)^2 + ( 47 -51.83)^2 + ( 66-51.83)^2 + ( 79 -51.83)^2 }/( 6-1)

= 371.76 = 371.8

option A