The law of large number works well for some things (say, shoe sizes) and fails to work for others (e.g. income distributions, which follow a power-law). So it'

The law of large number works well for some things (say, shoe sizes) and fails to work for others (e.g. income distributions, which follow a power-law). So it's not odd at all that it would fail to adequately account for people. It's just sad we don't have anything better. Can't we find something better?