I have a basic understanding of statistics and a basic understanding of logical fallacies, and I deal with this kind of sounds-good-if-you-don't-think-too-hard "insights" all the time.
Perhaps an intermediate understanding would help. Entire schools tend to score higher or lower together, also wealth correlates to IQ and scholastic success and zip code. There are also other reasons an entire group would be biased higher or lower.
> I deal with this kind of sounds-good-if-you-don't-think-too-hard "insights" all the time