I don’t know how true this is, but one thing I’ve seen referenced a few times is that students perform better under teachers of their gender, especially at younger ages. It wouldn’t be hard to imagine the same applies for employee performance in the workplace.

If that were true, given that K-12 teachers are overwhelmingly female, then you would expect females to do better in school. Conversely I believe managerial jobs skew male, which you would expect to benefit the performance of males in such workplaces.

Again I don’t have a study handy so I’m not sure how empirical that is, it may just be conjecture.