For your consideration:
Research Facts on Homeschooling
The home-educated typically score 15 to 30 percentile points above public-school students on standardized academic achievement tests. (The public school average is the 50th percentile; scores range from 1 to 99.)
A 2015 study found Black homeschool students to be scoring 23 to 42 percentile points above Black public school students (Ray, 2015).