A sample of 20 observations has a standard deviation of 3. The sum of the squared deviations from the sample mean is:
A)20.
B)23.
C)29.
D)171.

Question

Quizplus · Accepted Answer

The sum of the squared deviations from the sample mean is calculated using the formula $SS = (n-1)s^2$, where $SS$ is the sum of squared deviations, $n$ is the number of observations, and $s$ is the sample standard deviation. Substituting the given values, $SS = (20-1) \times 3^2 = 19 \times 9 = 171$.

A Sample of 20 Observations Has a Standard Deviation of 3