@Penn95 - what I’m saying is that, if Penn WANTED to make its SAT avg. 1600, it probably could. Given different demands on the incoming student class, however, it chooses not to do that.
So, I can’t really say which school has more intellectual horsepower, but my sense is that, at Chicago (and more so at MIT), these schools LOOK for pure processing power more avidly, and get more of those students. Then, at those schools, which are pointier to begin with, students engage in more mono-tasking on academic pursuits.
Put another way, the “geniuses” may get into Penn (and other schools), but choose to go elsewhere, whereas those very smart students (with business acumen, entrepreneurial ambitions, etc. as you say) may choose Penn over most other places. My sense is that you find more of these “genius” types at MIT, and then a decent amount more at Chicago, than Penn.
Again, this isn’t a knock on Penn - if it wanted more of the right-tail kids, it could change its goals and structure and get them. It could get all perfect SAT scorers too. Given the school’s different values though, my sense is that it simply has fewer of the right-tail students - by design.
The SATs are just a rough proxy of that. Chicago is clumped closely with MIT, Cal tech, Harvard, etc., and Penn is clumped a little more closely to Northwestern, Dartmouth, etc.