Comparing median income to median priced homes is a flawed argument.
I didn’t say the median household should be able to buy a median home. My point was that cashman has mischaracterized the facts.
The median income family is in the bottom 17% of homebuyers (assuming income proportional to price). It would be more correct to compare say the 70-75th percentile income to the median price, if you want to take statistics and make an appropriate example out of them.
I don’t know what the median homeowner household income is and neither do you. Those stats are not readily available. The idea that you can derive it as being proportional to price is laughable. You are throwing out guesses. Also, there are a non-trivial number of households above the median who rent.