Depending on section, 45-59% of applicants are at 700 or above, so Stanford is going to have a large portion of 2100+ SAT students in the entering class even if they don’t consider test scores in their application process. However, the fact that the entering class has a greater portion of 700+ test scores than the applicants doesn’t mean one needs to have a 2100+ SAT to be admitted or tell us much about how Stanford weights SAT scores since you also need to consider that among the regular applicant pool (CC posters are an exception), test scores are positively correlated with other components of the application that Stanford values.
For example, if you compare applicants with a ~2400 SAT to applicants with a ~2000 SAT, I’d expect the top scoring applicants are more likely to have a high GPA/rank, high course rigor, excellent LORs, major awards, and good various other criteria that Stanford values. So if the ~2400 SAT applicants have a higher admit rate than the ~2000 SAT applicants that might primarily be due to the 2400 applicants excelling in a combination of criteria completely unrelated to test scores, rather than anything about the score itself. Looking at test score percentages of the entering students gives us little information about how Stanford weights scores. MIT’s website explains this more eloquently, in response to an applicant asking why the 750-800 scoring applicants had a higher admit rate than the 700-740 applicants.
So in short, I am saying that while a lot of Stanford students have high test scores, we don’t know how much their higher test scores influenced the admission decision. Clearly Stanford assigns some weight to test scores, but they also admit unhooked applicants with lower test scores than the Stanford 25th percentile. As such, I wouldn’t assume applicants need median test scores, 75th percentile test scores, or similar. I would assume applicants need to show that they would be academically successful at Stanford, which requires much more than scores; and also need to have more than just excellent stats/transcript, including “intellectual vitality”… something that is impressive on more than just a high school level.
Note that Stanford Superscores. The <600 total is for single sitting. They also have a good portion of applicants who take only the ACT.