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

Normally Distributed

Describes a distribution that is symmetric around the mean, bell-shaped, and characterized by its mean and standard deviation.

Mean

The average value of a set of numbers, computed by dividing the sum of these numbers by the count of numbers in the set.

Median

The middle value in a list of numbers, which separates the higher half from the lower half of the dataset.