I will pipe in here with this:
Yes, it was more just a couple years ago BUT .... among my teammates at Yale, the average SAT score was within, maybe 40-50 points of the rest of the student body. The average for Yale at the time was around 1510 (different era than today) ... and average for the team during my four years, was about 1460-1470.
What was different was the median dispersion, which was probably a bit greater than the rest of the school. But the average was pretty close.
The average GPA, interestingly enough, ended up being slightly higher than the student body average. And no, we didn't have those UNC/FSU/UF "athlete classes" like "Fundamentals of Staring At Your ****" and that sort of thing. Classes were mostly brutal.
Also, not all athletic teams had the same academic profile. Women's equestrian team and men's basketball and lacrosse ....a bit lower than we were. Men's golf and women's swimming. A bit higher.
Point is, at FSU and UNC, as long as you can read the exit sign on the locker room door, you're in. Big difference than trying to use the accommodation for athletes as evidence that Harvard, Yale, Penn, Dartmouth, etc don't have high standards. Personally, I don't think there should be material accommodation for athletes, and I'm somewhat ambivalent as to wether there should even be athletic scholarships. But that's another story.
p.s. I certainly didn't make it in on my football prowess alone. If I did, then Coach Cozza was a really lousy judge of talent.