If the means of two groups are same, then the underlying distributions of the two groups must also be the same.

Question

Quizplus · Accepted Answer

It is possible for two groups to have the same mean but have different underlying distributions. For example, one group could have a normal distribution while the other group could have a skewed distribution. Therefore, the means alone do not provide enough information about the distributions.

If the Means of Two Groups Are Same, Then the Underlying