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When I was a kid those who lived in walking distance walked or biked. Those who didn’t was bused. It was just about geography. Rural area though.

I had to walk a half mile to catch the bus. Worst of both worlds, at least from my perspective as a kid.

It was the same for me in a suburban area. We walked or biked to middle and high school until I got a car. My parents lived close to my middle school and a bus didn’t come to our neighborhood.

Indeed there have been, I can't recall the exact study, but I found a meta-analysis here: [Physical Activity and Academic Performance in School-Age Children: A Systematic Review ](https://www.mdpi.com/2071-1050/15/8/6616).

Physical activity has shown to improve mental health, which as a result improves learning.