A sample of n = 6 scores has a standard deviation of s = 3.What is the value of SS,the sum of the squared deviations for this sample?
A)54
B)45
C)18
D)15

Question

Quizplus · Accepted Answer

The formula for calculating SS for a sample is:
SS = Σ(X - M)²
where Σ is the sum of all scores, X is each individual score, and M is the sample mean.

We do not have the actual scores, but we can use the formula:
SS = (n-1)s²
where n is the sample size and s is the sample standard deviation.

Plugging in the values, we get:
SS = (6-1)(3²) = 5(9) = 45

Therefore, the answer is B.

A Sample of N = 6 Scores Has a Standard