The 50^th percentile of a distribution is the same as the distribution mean.

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Quizplus · Accepted Answer

This statement is generally false. The percentile and mean of a distribution can vary and do not necessarily have to be the same. The 50th percentile (also known as the median) represents the middle value of the distribution, while the mean represents the average value of the distribution. There can be cases where the median and mean are close to each other, but it is not a guarantee that they will be exactly the same.

The 50th Percentile of a Distribution Is the Same as the Distribution

The 50^th Percentile of a Distribution Is the Same as the Distribution