What use is median in a Pareto distribution (which this phenomenon falls under)? From what I can tell median is useless, I can't think of a use case, and the i

What use is median in a Pareto distribution (which this phenomenon falls under)? From what I can tell median is useless, I can't think of a use case, and the internet fails to give me one. Average gives you an expected value to work with. Median though, can be worthless in a pareto distribution where the 90% of the value is in the top 10% of the distribution. I feel like people have this default reaction to assert that median is as or more important than mean. When, in reality, median is useful for in only specific distributions. I think people say "median", but what they are really interested are the moments of the distribution. Median just is a key moment in Guassian distributions, other distributions have different important moments, and median isn't necessarily one of them.