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The word average is often used to mean mean, however it can be used less specifically - median is a type of average as well.
From Merriam-Webster definition of average:
1a) a single value (such as a mean, mode, or median) that summarizes or represents the general significance of a set of unequal values
Also, things like testosterone levels in a population usually follow a normal distribution, where both mean and median are the same, so the distinction is often meaningless for practical purposes
Still, that’s not how the mean or the mode work. And one could argue a group of Olympic athletes is not a big enough population to assume a normal distribution. But yeah, you’re also right.
