How do academic achievement and school size shape varsity sports participation?
Core argument: After adjusting for school size, 35% of students in the top eighth-grade math achievement quintile played varsity sports in 2025, compared with 12% in the bottom quintile, with a largely linear relationship across quintiles.
We find large gaps in varsity sports participation by academic achievement, which we measure using students’ eighth-grade math test scores. Students who attended the smallest schools (first quintile) were 2.8 times as likely to participate in varsity sports as those who attended the largest schools (fifth quintile). We find that after adjusting for school size 35% of students in the top achievement quintile played varsity sports in 2025, compared with just 12% of students in the bottom quintile. In general, the relationship between achievement quintiles and varsity sports participation was remarkably linear. [The exception was football], the largest sport by participation [17% of all varsity athletes and overwhelmingly male]. Here the top quintile [in 8th grade math] had 20% lower odds of playing than students in the middle achievement quintile.




