For any distribution, if the mean is equal to the standard deviation, you can infer that the distribution is symmetric.

Question

Quizplus · Accepted Answer

This statement is not necessarily true. There are some distributions with a mean equal to the standard deviation, such as the standard normal distribution, that are symmetric. However, there are also distributions, such as the exponential distribution, that have a mean equal to the standard deviation but are not symmetric. Therefore, this statement cannot be used to infer symmetry in a distribution.

For Any Distribution, If the Mean Is Equal to the Standard