If the mean, median, and mode are all equal for a continuous random variable, then the random variable must be normally distributed.

Name: If the mean, median, and mode are all equal for a continuous random variable, then the random variable must be normally distributed.
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Quizplus · Accepted Answer

The mean, median, and mode being equal is a characteristic of a normal distribution, but other distributions, such as a uniform distribution, can also have this property under certain conditions.

If the Mean, Median, and Mode Are All Equal for a Continuous