If two distributions have the same mean, then they must also have the same
A) median
B) mode
C) standard deviation
D) none of these

Question

Quizplus · Accepted Answer

Two distributions can have the same mean but can have different medians and different modes. Therefore, neither A nor B is necessarily true. Additionally, the standard deviation depends on the spread of the data in each distribution and can still differ even if the means are the same. Therefore, C is also not necessarily true.

If Two Distributions Have the Same Mean, Then They Must