@data10 your data is different. As I look there’s a mix of latest enrolled class and total across the 4 years, and it’s the latter # we’d want. Class of 2020/21 have more than your #s, sometimes by a lot. Columbia and Harvard both in the teens.
We could. The sports that seem to get the biggest crowds/generate revenue seem to have more black students than those that don’t. Why do colleges keep recruiting for “preppy” sports no one watches or follows? That’s an interesting question.
Less selective institutions are pretty transparent about it, adding Lacrosse, say, to attract full pay students: https://www.insidehighered.com/news/2012/04/04/midwestern-liberal-arts-colleges-use-lacrosse-recapture-suburban-students
The Ivies don’t need that, though.
http://web1.ncaa.org/rgdSearch/exec/main
Whatever the student put on the application seems likely, I suppose that’s also how they get their numbers for the CDS, but I’m not sure.