Lets see about that:
Dartmouth College - 4,300 undergrads:
http://www.collegedata.com/cs/data/college/college_pg01_tmpl.jhtml?schoolId=403
ACT Score: 30-34
SAT Score (no writing): 1330-1560
UIUC College of Business - 3,000 undergrads:
https://admissions.illinois.edu/Apply/Freshman/profile
ACT Score: 28-32
SAT Score (no writing): 1320-1460
UT McCombs - 4,700 undergrads:
https://www.mccombs.utexas.edu/Career-Services/Statistics/Student-Demographics
No ACT reported
Average SAT: 1315
You are right!!!