For any set of n numbers, the sum of all n deviations about the arithmetic mean will always be:
A) greater than 0.
B) less than 0.
C) equal to 0.
D) greater than n.

Question

Quizplus · Accepted Answer

By definition, the arithmetic mean of a set of n numbers is the sum of the numbers divided by n. Therefore, the sum of all n deviations about the mean must be equal to zero. This is because some of the deviations will be positive and some will be negative, but they will all cancel each other out when added together.

For Any Set of N Numbers, the Sum of All