Your math logic is failing. If a school admits 75% of all applicants, 25% of the students it admits will have test scores in the lowest 25%. If a school admit only 10% of all applicants… 25% of the students it admits will have test scores in the lowest 25%.
The overall admit rate doesn’t mean that one needs scores in the top 25% of the appilcant pool to get in. What it does mean is that at more selective schools, the bar is raised even at the bottom.
In other words, it’s not that the applicant to elites needs to have test scores in the top 75%. It’s just that at that level, the deliniation for bottom 25% is significantly higher. If anything, the more selective the college, the less significant the top 75% marker is, because as the score band narrows, it becomes less of a distinguishing factor – and the top colleges have enough high stat applicants that they can afford to focus more attention on other factors.
Some more points:
- 25% is a big fraction. It is one out of every 4 students fits that category. That's a significant number of admitted students. If you want to know the true "minimum" test score to apply -- the "don't bother" number, you need to dig down into the Common Data Sets (when available) and pay attention to the point at which numbers fall below 5%.
- SAT/ACT scores are not the sole admission criteria, nor are they the primary criteria for the most selective schools. They just are the easiest metric to quantify. But high school course breadth & rigor, high school GPA and class rank are far more important to most colleges, Despite all the talk about hooked applicants, it's a pretty good bet that the students who have lower end test scores will usually be coming in with higher GPA's. Because the ad com is looking at the whole picture.
- Colleges need a wide variety of students, with a variety of academic interests and abilities, as well as different talents and outside interests. But they only need so many of each. So you could also predict that the students with the lower end test scores might have demonstrated abilities or interests in less popular majors. Students are essentially competing for admissions within their own niche -- there aren't stats available for that, but the admission expectations are going to be different depending on the student. Colleges always say that they look at scores "in context" and part of the context is whether the score fits the student. For example,arts and humanities majors with weaker math scores get admitted all the time.
- From the point of view of the college, their own overall statistical range is important, but not the individual student scores. So the ad coms do keep an eye on their admit stats as they make decisions -- but not just score range. They are looking at everything -- their financial aid numbers, their regional and gender balance, their racial diversity numbers, etc. And they will keep their overall numbers in mind in terms of admission priorities, so the impact on the individual admission depends on how the overall process is going. If the colleges have already admitted plenty of students with high test scores, then there will be less concern than in the situation where the ad coms have been informed that their numbers are running low and they need to boost them.
My daughter’s test scores put her in the bottom quartile of the reach schools that admitted her, including the one that she attended. She got into all but one of the reach schools she applied to. No accident – she had a strong GPA, an unusual and somewhat interesting path through school, a very lopsided high school record with unusual strengths in a an area likely to be valued by the specific reach schools she targeted. So her admissions just means that we did a pretty good job of targeting , including aiming for schools with more holistic admissions policies. (Several schools that might have even been considered “matches” were dropped from consideration because they seemed to place higher emphasis on test scores).
Almost everyone my daughter met at her school had much, much higher test scores – and at first, that seemed to be a major topic of conversation.
It was a few weeks into the first semester that my daughter commented to me something along the lines of being amazed to discover that so many people with such high scores could be so dull. It’s way too long past for me to remember the exact words she used – but the point is that she figured out fairly quickly that the test scores didn’t have much correlation with academic or intellectual ability. (Though there likely was an inverse correlation between intellect and the desire to boast about one’s test scores). Of course she met many very smart students as well-- it’s just that she also figured out early on that whatever the test scores, she was well within her comfort zone academically.
Daughter graduated summa cum laude, with a college GPA that was even higher than her high school GPA. College was very hard work for her, but the only one she was competing against was herself. If she put in the effort, she got the grades – and most of her friends with higher scores ended up with lower GPA’s because they didn’t put in the effort.
The studies show that high school GPA is more predictive of college GPA than test scores. Colleges know that. A student with high test scores and high GPA is a good bet for admission, but if there is imbalance in GPA and test scores, then the colleges usually will do better to admit the students with the stronger GPA’s.