The median is pretty magical.

If we have data from a normal distribution, then we want to know the mean. But guess what, the median is expected to

*be*the mean in this case.
If we have data from a log-normal distribution, then we want the geometric mean. But guess what, the median is expected to

*be*the geometric mean in this case.
It takes work to figure out which sort of distribution we have: normal or log-normal, or something else.

It then takes work to calculate the mean or geometric mean.

Taking the median requires little work: sorting everything, and looking at the thing in the middle.

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