The value of the sum of the deviations from the mean, i.e., $\sum ( x - \bar { x } )$ must always be
A) less than the zero.
B) negative.
C) either positive or negative depending on whether the mean is negative or positive.
D) zero.

Question

Quizplus · Accepted Answer

The sum of the deviations from the mean is always zero because the mean is the balance point of the data set, meaning the positive and negative deviations cancel each other out.

The Value of the Sum of the Deviations from the Mean