Not sure how it works in your country but in mine (Japan), PE teacher literally ARE the smartest because they have to pass a written test to get their liscence. Problem is, the "passing grade" is whatever the number of teachers they need that year. They take the top grades, so in practice scoring a 99% could be a failing grade.

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Since people wanna become PE teachers the most it is the most difficult to get a passing grade. Conversely, math teachers are the "dumbest"* since fewer people take the test.

*relatively!