Given a population of N scores,the sum of the deviation scores is equal to N.

Question

Given a population of N scores,the sum of the deviation scores is equal to N.​

Quizplus · Accepted Answer

The sum of deviation scores is always equal to zero, not equal to the population size N. This is because deviation scores are calculated by subtracting the mean from each individual score, and the mean represents the center of the distribution. Any deviation from the mean in one direction must be balanced out by an equal deviation in the opposite direction, resulting in a sum of zero.

Given a Population of N Scores,the Sum of the Deviation