"There are many studies, and they all throw slightly different statistics. But researcher Brien D. Ray found that overall, 78% of the compared and reviewed studies confirm that homeschooled children performed significantly better than their public schooled peers in terms of academic performance."
https://www.nheri.org/research-facts-on-homeschooling/
https://en.wikipedia.org/wiki/Homeschooling
https://en.wikipedia.org/wiki/Homeschooling_international_status_and_statistics
https://www.calverteducation.com/should-i-homeschool/homeschooling-pros-and-cons