For clarity, it might be instructive if you specified a source for what you consider to be T20 or T50 schools. U.S. News, for example, does not provide general T50 or T20 lists for U.S. colleges. The closest it might come to this is a national ranking of the top 31 colleges by their standardized scoring profiles: https://www.usnews.com/education/best-colleges/slideshows/colleges-with-the-highest-sat-scores?slide=34. Note, however, that this ranking is flawed, mostly due to the unavailability of information for some schools.