if you're comparing Rice to Patriot League schools, you don't know anything about Rice.
I know plenty about Rice. Two cousins went there, and I know a Rice recruited athlete well. I acknowledge Rice has higher standards than PL schools for regular students. However I was only talking about recruited athletes - and I know the numbers well in that area. In at least football and men's basketball, Rice has admitted players with SAT's of about 1100. That is higher than almost all schools, since only two leagues (Ivy and Patriot) have iron-clad standards on minimum SAT's and GPA's relative to those of the average student at each respective school, while the rest will bend the standards significantly for good athletes. Duke, for example, in men's basketball has admitted players with SAT's below 800.
However due to the Academic Index in the Patriot League, a school cannot admit an athlete who has a combined SAT and GPA/class rank significantly below their average student. As a result, no player with an 1100 SAT could be recruited by at least nine of the league's ten schools - with the possible exception of Loyola. According to a PL men's basketball assistant, the AI prevents them from recruiting a number of players who Rice (and others) does recruit. No knock on Rice, since schools such as Duke, Vanderbilt, and Stanford also bend their admission standards significantly. (Stanford likely less than the others.) But the Ivy League and Patriot League Academic Index is cast in stone. There is no wiggle room allowed by admissions - no matter how good the athlete is.