The 3-sigma rule is violated when the mean, mode and median are the same value.

Name: The 3-sigma rule is violated when the mean, mode and median are the same value.
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Quizplus · Accepted Answer

The 3-sigma rule, or empirical rule, is about the distribution of data points in a normal distribution, stating that about 99.7% of data falls within three standard deviations of the mean. It does not directly relate to the mean, mode, and median being the same, which is a characteristic of a perfectly normal distribution.

The 3-Sigma Rule Is Violated When the Mean, Mode and Median