(1)

Stanford's in the news today for: Stanford just made tuition free for families earning less than $125,000 per year. The news is usually accompanied by pictures of smiling students and balloons:

...and it usually takes the article in question a few paragraphs to get around to noting that:

The announcement is an expansion of Stanford's old financial aid policy, which previously applied to students from families making less than $100,000 per year. (...)

...which raises the question: Just how many students at Stanford come from families with incomes greater than $100k and less than $125k? ...and just how desperately did those families need to have their tuition costs reduced from \(\leq\)$13.5k^[1] to $5k^[2]?

(EDIT | A bird in my ear mentions that $100k/yr puts you in the 80%tile of American families, which seems