@penn95, there is a statistical difference between the following:
Cornell 25th percentiles vs Hopkins for Verbal: 650 Verbal vs 700.
Cornell 25th percentiles vs Hopkins for Verbal: 680 vs 720
Keep in mind those are enrolled stats, you’d see similar or greater disparities for the admitted students
ACT: 32 to 35 for Hopkins. Cornell: 31 to 34.
Maybe you weren’t awake during your stats class.
As for Yale and Chicago versus Stanford: Did you also forget that Stanford admits DI athletes?