Median gives you the 50th percentile, what we intuitively would consider "an average person". For instance, the average adult's net wealth in the US is around $600k, but that's actually the 80th percentile. A median adult's wealth in the US (what we would intuitively think of as an "average person"), the 50th percentile, is closer to $100k (little variation depending on whose survey you use). The difference between mean and median shows just how unequal the distribution of wealth is.

Not intentionally choosing controversy here - I've limited my statements to just plain facts, not opinions.