Which of the following statements about the mean is not always correct?
A)The sum of the deviations from the mean is zero.
B)Half of the observations are on either side of the mean.
C)The mean is a measure of the central location.
D)The value of the mean times the number of observations equals the sum of all observations.

Question

Quizplus · Accepted Answer

Half of the observations are not always on either side of the mean. This is only true for symmetric distributions. In skewed distributions, the mean may be pulled in one direction or the other by extreme values, making it so that more or less than half of the observations are on either side.

Which of the Following Statements About the Mean Is Not