In a sample of four people,Person A has a score 5 points below the mean,Person B has a score 3 points above the mean,and Person C has a score 2 points above the mean.Which of the following provides the most accurate description of the score for Person D?
A)It is equal to 0.
B)It is equal to the mean.
C)It is below the mean.
D)It is above the mean.

Question

Quizplus · Accepted Answer

Person D's score must balance the deviations from the mean of the other three scores to maintain the mean. Since A is 5 points below, and B and C together are 5 points above (3 + 2), D's score must be exactly at the mean to balance the overall average.

In a Sample of Four People,Person a Has a Score