Wait, what? I don't want to get pulled into an argument about college that I'm not invested in, but how is this even arithmetically true? I can bestow a lifetime increase on two people in the bottom half cohort without changing the median at all. Like, I'd need us to share premises about what the term "median" means before talking about anything else in this argument.
It's curious that you find it necessary for us to share what "median" means, but then not share, but I guess you must have accidentally pressed the "Reply" button before you were finished?
We can do a simple thought experiment here. If 0% of the population have a degree, do you agree that the median income holder does not have a degree? If 100% of the population have a degree, do you agree that the median income holder does have a degree?
So when the degree attainment rate crosses the 50% mark, do you agree that the median income holder must have a degree? My definition says yes. And since the degree brings a premium, how do you explain the median income not rising? Maybe the premium you are imagining is just hugs and kisses?
I know, you think the median income has somehow always been filled by a degree holder, even when only a small segment of the population had a degree. But how is that possible when education influences lifetime earnings? Shouldn't those with education be making more than the median when those with education are a small segment of the population?