When the mean and median are different,the sum of the squared deviations from the mean will always be less than the sum of the squared deviations from the median.

Question

Quizplus · Accepted Answer

This is known as the "inequality of the means" and is true for any set of data. The reason for this is that the mean is more sensitive to extreme values (outliers) than the median, which means that the deviations from the mean will be larger for those extreme values. Therefore, the sum of the squared deviations will be larger as well.

When the Mean and Median Are Different,the Sum of the Squared