A researcher records the following scores: 5,3,7,6,2,8,0,and 1.In terms of these data,the sum of the squared differences of scores from their mean is ______.
A) 0
B) 8
C) 60
D) 164

Question

Quizplus · Accepted Answer

First, calculate the mean of the scores: (5 + 3 + 7 + 6 + 2 + 8 + 0 + 1) / 8 = 32 / 8 = 4. Then, calculate the squared differences from the mean: (5-4)^2 + (3-4)^2 + (7-4)^2 + (6-4)^2 + (2-4)^2 + (8-4)^2 + (0-4)^2 + (1-4)^2 = 1 + 1 + 9 + 4 + 4 + 16 + 16 + 9 = 60.

A Researcher Records the Following Scores: 5,3,7,6,2,8,0,and 1