Medians are vulnerable to some interesting statistical paradoxes that means are not.

For example, consider this scenario:

* The median family owns $100k in real estate
* The median family owns $100k in DOGE
* The median family net worth is $100k
* Nobody has any debt

This is possible!

Challenge: figure out how.

Three families own:

$0, $100, and $n respectively in RE;
$100, $0, and $n in DOGE;

And by way of consequence:

$100, $100, and $2n in net worth, respectively.

In that scenario, the median value across all families is $100 in RE, $100 in DOGE, and $100 in net worth.

This holds for any arbitrarily large value of n.