A sample of 16 observations has a standard deviation of 2. Which of the following is the sum of the squared deviations from the sample mean?
A) 60 .
B) $64 .$
C) 30 .
D0 $16 .$

Question

A sample of 16 observations has a standard deviation of 2. Which of the following is the sum of the squared deviations from the sample mean? 
A) 60 .
B) $64 .$
C) 30 .
D0 $16 .$

Quizplus · Accepted Answer

The sum of the squared deviations from the sample mean is equal to the sample variance multiplied by the sample size. In this case, the sample variance is 2^2 = 4 and the sample size is 16, so the sum of the squared deviations from the sample mean is 4 * 16 = 64.

A Sample of 16 Observations Has a Standard Deviation of 2