If two groups of numbers have the same mean, then
A)their standard deviations must also be equal
B)their medians must also be equal
C)their modes must also be equal
D)None of these alternatives is correct.

Question

Quizplus · Accepted Answer

The mean only takes into account the sum of the values and the number of values in a data set. It does not consider the spread or distribution of the numbers, so there is no necessary relationship between the means and the standard deviations, medians or modes of two groups of numbers.

If Two Groups of Numbers Have the Same Mean, Then