Question

A sample of n = 5 scores has a standard deviation of s = 5. What is the value of SS, the sum of the squared deviations for this sample?

A. 25
B. 20
C. 100
D. 125

Answer 1

The sum of the squared deviations (SS) is found using the formula SS = (n - 1) × s². Given that the sample size (n) is 5 and the standard deviation (s) is 5, the SS is calculated as 100. Hence, the correct answer is C. 100.

Step-by-step explanation:

The sum of the squared deviations (SS) is calculated using the following formula where s represents the sample standard deviation and n represents the sample size:

SS = (n - 1) × s2

In this case, n = 5 and s = 5. Applying these values to the formula, we get:

SS = (5 - 1) × 52

SS = 4 × 25

SS = 100

Therefore, the correct answer is C. 100.