Assume that the mean of a distribution is ten and standard deviation is 2. If we subtracted each value in that distribution from the mean and added them up, the result would be close to:
A)100
B)2
C)50
D)0
E)200

Question

Quizplus · Accepted Answer

The sum of the deviations from the mean always equals zero, regardless of the distribution's mean or standard deviation. This is a fundamental property of statistics, known as the "sum of deviations from the mean equals zero." Thus, the answer is D, which corresponds to zero.

Assume That the Mean of a Distribution Is Ten and Standard