The sum of the differences between sample observations and the sample mean is
A) Zero
B) The mean deviation
C) The range
D) The standard deviation
E) The mean

Question

Quizplus · Accepted Answer

This is because of the definition of the sample mean, which is calculated as the sum of all observations divided by the total number of observations. Therefore, when you sum up the differences between each observation and the mean, they cancel out and the result is zero.

The Sum of the Differences Between Sample Observations and the Sample