@TooOld4School I just checked the mid 50 ACT Math section score for UMich CoE enrolled freshmen to be 32-35 for 2013 and 31-35 for 2014. Admission stat is always even higher. For ACT composite score, the mid 50 shifted one point up for admission (31-34) from enrolled freshmen range (30-33).
For MIT, the mid 50 (not average) ACT Math section score is 34-36. In other words, only 25% of admitted students scored 34 or below in Math section score.