Target Schools for Math Enthusiast? General school suggestions?

@intparent @citivas @merc81 @ucbalumnus @“Erin’s Dad” Thanks for all the comments. In the process of searching for schools, I knew I wanted to go reach heavy; after just a few visits, I knew that the people/environment/rigor were what I wanted in a college. But I haven’t really found an effective way of determining my chances to any given school. Of course there are Score ranges and things like that, but a school like Mudd for example has a range very similar to MIT (again for example) but has a very different acceptance rate. I have come across certain chance calculator websites, but they all tend to operate under a very small data sample ( 100 students for example, and the sample is of course not representative of the average applicant, it is comprised of individuals who have submitted their scores and results to the website) The best thing I have come across is PrepScholars Admission calculator tool. It is part of their “college database”. Here is a link to their page on UChicago…
http://www.prepscholar.com/sat/s/colleges/University-of-Chicago-admission-requirements
They claim that their calculations are based on data collected from thousands of students (again, probably not representative of the average applicant)
I wanted to ask if their is a true way to calculate reasonably accurate admission chances. (within say 5% error)
Is the site I linked accurate to the best of your knowledge? Is there a website or service that can give better odd calculators? This is important to me to judge what my safeties and targets (and reaches) really are.