“My child had middle 50% grades and test scores. Why didn’t they get accepted?” I get this question constantly from parents of high school seniors. The answer is mathematical. At a school like Amherst, 32% of incoming seats are reserved for athletes. That means non-athletes aren’t competing for 490 spots at a 3.1% acceptance rate. They’re competing for 333 spots at a 2.1% acceptance rate. The middle 50% you see published is for the entire school, including athletes who have different admissions standards. For non-athletes, middle 50% likely won’t cut it.
Today I’m going to answer a very common question, and I’m going to answer it with math. Yes, math. I’m going to walk you through what happens mathematically, unit by unit, admission by admission, inside an admissions department. The question I get all the time is: “My child had middle 50% grades and test scores. Why didn’t they get accepted?” We usually get this inquiry after a student has applied, not through our program, and parents reach out in desperation. Unfortunately, at that point, there’s not much we can do. But because this is such a common question, I want to explain the mathematical answer so you can understand the rules of the game before it’s too late.
Contents
The book that reveals what’s really happening
First, I want to reference a book that every parent of a high schooler should read: “Who Gets In and Why: A Year Inside College Admissions” by Jeffrey Selingo. Selingo goes inside three elite college admissions departments behind the scenes and walks through what he actually sees. It’s incredibly valuable if you want to know what goes on inside those admissions doors at top universities.
The Amherst case study
Today I’m going to walk through the math at Amherst College. I’m originally from Massachusetts. Amherst is one of the top liberal arts colleges in the country. Every year, students choose to go to Amherst over Harvard. That is how elite it is.
But here’s what you need to know: Amherst only enrolls about 1,900 students total. That’s less than 500 students per grade.
Let me read an excerpt from Selingo’s book, found on page 154:
“Amherst is an elite small New England college in Western Massachusetts. It annually competes with Williams College for the top spot in the US News rankings among liberal arts colleges.”
But here’s the kicker:
“The other thing you should know about Amherst is that it likes to brag about how it is home to the quote ‘oldest athletics program in the nation.’ It cares about athletics a lot.”
The cover of “Who Gets In and Why” by Jeffrey Selingo on a desk next to college brochures and a notepad, warm office lighting, research and preparation aesthetic.
The math that changes everything
Let me walk you through the numbers. This methodology applies to most of the top schools in the country: the Ivy Leagues, the NESCAC schools in New England, and the top liberal arts colleges. They all have sub-10,000 undergraduates, which means this math applies to them.
Step one: total spots available
Amherst has 1,900 students total. That means they have 490 students per grade.
490 students per grade. That’s it. That’s the entire pie.
Step two: how many are reserved for athletes?
Of those 490 spots, guess how many Amherst has earmarked, meaning reserved, for student athletes?
157 spots.
That is 32% of their incoming class reserved for earmarked athletes.
Step three: what’s left for everyone else?
490 total spots minus 157 athlete spots equals 333 spots for non-athletes.
333 spots. For everyone else. For the vast majority of applicants.
Step four: how many people are applying?
In the class of 2029, the most recent application pool, Amherst received a record number of applicants: 15,818 applications.
15,818 applications for 490 spots.
If you do the math: that’s a 3.1% acceptance rate.
By the way, the top schools in the country are seeing about 3% acceptance rates. This past year, one of our students got into MIT, which had a 3.6% acceptance rate. This is what we’re seeing at the top schools in 2025.
Step five: the real acceptance rate for non-athletes
Here’s where it gets crazy.
Remember, 157 spots are reserved for athletes. So let’s subtract those:
15,818 applications minus roughly 157 athlete applications equals about 15,661 “normal person” applications for 333 non-athlete spots.
When you do this math: 333 divided by 15,661 equals 2.1%.
We’ve gone from a 3.1% acceptance rate to really, for most of you watching, 2.1%.
We’ve gone from 490 spots, if you technically asked the Amherst admissions officer, to really 333 spots.
Why middle 50% is misleading
This is where the middle 50% problem comes in.
When parents reach out and say, “My child had middle 50% grades. My child had middle 50% test scores,” they’re looking at published data that includes the entire student body.
The published middle 50%
If Amherst says, “Our average student has a 4.1 GPA and a 1540 on their SAT,” and your student has a 4.1 GPA and a 1540 SAT, you might think, “They’re right in that middle 50% sweet spot.”
But here’s the problem.
You’re looking at the middle 50% as it relates to the entire school. That includes the 157 athletes who got in through a completely different process.
The real target for non-athletes
In our program, we guide our students: the middle 50% likely will not cut it.
The middle 50% line you see published is the middle 50% for the whole. But for the vast majority of you, you cannot target the middle 50% and say “my child should get in.”
Really, what you need to target is the middle 50% of the non-athlete pool to even have a fighting chance.
That’s a higher bar. Sometimes significantly higher.
The exception that proves the rule
Now, to be clear, there is a small chunk of students who are in the middle 50% or lower for non-athletes and still get in. We have case studies: our Emily, our Massimo, students who were able to have sub-50% grades and test scores and still got into their dream schools.
But this is few and far between. And it’s even fewer and further between if you don’t have a program like ours guiding you over four years on how to complete high-leverage activities to stand out.
How the athlete earmark system works
Let me explain what “earmarked” actually means, because this is crucial to understanding how college admissions really works.
What is an earmark?
From Selingo’s book: “Many selective schools reserve a specific number of slots in admissions for athletes to hold them a place so they don’t get crowded out by higher achieving non-athletes.”
This makes sense from the institution’s perspective. If you’re Amherst and you care about fielding a football team, the last thing you want is to fill up your 490 students with top academics and realize you don’t have a quarterback.
How slots work
A slot is a virtual lock on admissions for an athlete. Although schools don’t guarantee slots for specific applicants, admissions officers pre-read the applications of highly rated athletes to see if they’re in the ballpark academically.
The admissions process for these 157 students is different. It goes through the athletics department first. The athletics department goes to admissions and says, “We want a pre-read on an application.” It’s an entirely different process than for the remaining 333.
The academic threshold is different
Here’s the reality: a plug from a coach or athletic official can provide a strong hook for applicants whose academic accomplishments otherwise might not ensure admission.
To put this in real-world terms, Amherst needs to know they have a quarterback on their football team. So yes, the academic threshold to get into Amherst if you are a quarterback that the Amherst coach has recruited is far lower.
I’m not saying this is right, wrong, just, or unjust. I’m simply reporting the facts. This is how it works.
This applies to more schools than you think
Here’s where it gets even more eye-opening. This methodology applies to the Ivy League schools too. You can look it up: the Ivy League schools don’t have that much more enrollment than Amherst. It’s about double or triple, but we’re not talking about a 47,000-undergraduate Ohio State.
The numbers at other elite schools
From Selingo’s book:
- Georgetown allocates about 158 slots out of 1,600 in its first-year class to coaches in over 22 sports
- Bucknell holds 170 slots out of about 970 seats in the class
- University of Virginia earmarks 180 slots out of 3,700 spaces in the class
All for athletes.
The surprising athlete population
Here’s something that sounds crazy: in the fall of 2018, Amherst enrolled 676 athletes over its four classes of undergraduates. That’s 36 more athletes than the University of Alabama overall. The same Alabama where the football team reached the College Football Playoff four consecutive years.
Amherst has 200 more athletes than Northwestern University, a member of the Big Ten Power Conference.
Why? Because while sports permeate the culture at a place like Ohio State, athletes themselves don’t overwhelm the student body of some 47,000 undergraduates.
At Amherst, athletes make up about 36% of its undergraduate population, compared with just 2% at Alabama and 6% at Northwestern.
Why the numbers are the same
Think about it this way: both Amherst and Alabama have baseball teams with 35 players and women’s soccer with 25 athletes and men’s basketball with 16 players. While Alabama has lecture halls that can hold nearly the entire Amherst student body, the university only needs so many first basemen.
Because elite colleges fill dozens of sports with attention paid to making sure each roster is full, selective colleges like Amherst or Harvard find themselves with fewer spots for non-athletes, especially as the volume and quality of applications increase.
The zero-sum game
On Selingo’s words: “On campuses where the competition to get in is stiff and seats severely limited, admissions is often turned into a zero-sum game because of athletics.”
The fixed pie
Amherst will not be increasing its student body anytime soon unless they buy more land and increase their admissions. But that’s not going to happen. So 490 students is locked in stone at Amherst for every incoming class, and it has been for dozens and dozens of years.
There is a zero-sum game between athletes and non-athletes. The football team will always need to have football players, no matter what. A football team at Amherst has relatively the same number of spots as a football team at University of Alabama, even though Alabama’s total student body is significantly bigger.
What this means for your student
At the end of the day, colleges are private institutions. Colleges are a business. If you’re a parent watching this, I need you to understand: they have rules that they can make up on their own, and they have the right to.
I am not saying this is right, wrong, just, or unjust. I’m simply reporting the facts so that if you’re a parent of a 9th grader or a 10th grader and you’re just getting involved in the college planning process, you can actually know the rules of the game.
Because those who know the rules to the game can then understand how to optimize to give your child the best chance at winning the game.
What you should do with this information
I’m creating this post because I don’t want you to be one of those many, many parents, dozens of parents, who reach out to us in senior spring saying, “My child had this. Why did they get rejected? My child had middle 50% scores. We thought those were the rules to the game. That’s how we wanted to play.”
Folks, the reason is because there were other factors in college admissions behind those closed doors. This now allows you to be aware of them.
For parents of non-athletes
If you are a parent of a non-athlete, please understand that the middle 50% of the overall school is not your target. Your target should be the middle 50% of non-athletes, which is higher.
That’s the minimum you should be striving for to give your child a fighting chance.
And beyond grades and test scores, you need high-leverage activities that help your student stand out among the thousands of other qualified non-athletes competing for those limited spots.
If you’re wondering whether your student’s current profile is competitive, take my free College Story Audit. It shows you exactly where you stand and what gaps you need to fill.
For parents of potential athletes
If you do have a child who is a possible athlete, please know that there is perhaps no single higher-leverage activity they can continue to do than to work on athletic recruiting.
The earlier you reach out to coaches, the more often you reach out to coaches, the sooner you get on their radar and say, “Hey, I’m potentially interested in your school and this sport, and oh by the way, I continue to improve.” This is ultra ultra ultra high leverage.
Athletes have different rules to the game. Is it right? Is it wrong? Just? Unjust? I’m not going to comment on that. I’m simply reporting how it works.
At Amherst, 32% of their incoming class is reserved for athletes. The remainder is for all the non-athletes to fight it out at a 2.1% ratio.
Know the rules before you play the game
The reason I created this post is simple: I don’t want you to be one of those parents who reaches out in senior spring, confused and devastated, asking why their qualified student got rejected everywhere.
The rules of the game are different than most families think. The middle 50% is not your target if you’re a non-athlete. There are earmarked spots for athletes. There’s a zero-sum game happening behind closed doors.
Now you know. And knowing the rules is the first step to playing the game effectively.
Ready to take the next step?
At CollegeConsulting.us, we have one mission: to help the country’s highest performing students reach their full collegiate potential so they don’t end up as those seniors saying, “If only I had known the rules of the game.”
If you have a 9th or 10th grader, book a 100% free college planning strategy session with our team. We have a four-year all-inclusive College Confidence program that helps students work through 11th and 12th grade into freshman fall of college so they understand the rules and can play the game to win.
We only accept 23% of families who apply. But if your student is high-performing and you want them to reach their full potential, it’s worth a conversation.
Frequently asked questions about middle 50% scores
Where can I find the middle 50% data for a specific school? You can use resources like College Simply or look at the Common Data Set for the individual school. But remember: these numbers include athletes, who have different admissions standards.
Does this apply to all top schools? This methodology applies to most of the highest-ranked schools in the country. Look at the undergraduate populations of Ivy League schools, NESCAC schools, and top liberal arts colleges. They all have sub-10,000 undergraduates, which means this athlete-to-non-athlete ratio matters significantly.
What if my student is borderline for athletic recruiting? Even if your student isn’t a top-tier recruit, getting earmarked by a coach gives you a bump in admissions. It’s worth exploring if your student has any athletic ability, even at the Division III level where there are no athletic scholarships but coaches still have significant influence.
How much higher should my target be as a non-athlete? It varies by school, but as a general rule, aim for the top 25% rather than the middle 50%. At the most competitive schools, you need to be above average among an already exceptional applicant pool.
My student already has middle 50% scores. Are they doomed? No. Our students like Emily and Massimo got into their dream schools with below-average grades and test scores for their target schools. But they did it by completing high-leverage activities over multiple years that helped them stand out. It requires a different strategy, and it’s much harder to pull off without guidance.
When should we start thinking about this? Now. If you’re a parent of a 9th or 10th grader, you have time to understand the rules and plan accordingly. If you’re already in 11th grade, you need to move fast. And if you’re in 12th grade, the time for planning is past.
