Median wage goalpost is up the field from the typical wage goalpost. The latter is the most obtainable income range, the sort that folks could once earn and stay housed.

source: I once supported my young family on a typical wage

Past that, homelessness and wage earning are generally at odds with each other. This is for a for a number of pronounced reasons, obvious and not. One of the less discernible reasons is that being unhoused makes employers uneasy; I once lost a job when my boss learned I was homeless.