For which measure of central location will the sum of the deviations of each data value from that measure always be zero?
A)arithmetic mean
B)geometric mean
C)median
D)mode

Question

Quizplus · Accepted Answer

The arithmetic mean is the only measure of central location for which the sum of the deviations of each data value from that measure will always be zero. This is because the arithmetic mean is calculated by summing all the values and dividing by the number of values, making it the balance point of the dataset.

For Which Measure of Central Location Will the Sum of the Deviations