Please refer to http://www.collegedata.com you may find some data points. Also, you can use their Financial Aid Tracker to see scholarships $ offered to the students with different stats. I find this site very valuable as it has various data points/profile with stats.
There is no guarantee on the quality of data because it is input by the students/parents but you can get a rough estimate.
http://www.collegedata.com/cs/financial-aid-tracker.jhtml?classYear=2020&defaultClassYear=true