www.nheri.org/research/research-facts-on-homeschooling.html
Academic Performance:
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). 
Homeschool students score above average on achievement tests regardless of their parents’ level of formal education or their family’s household income. 
Whether homeschool parents were ever certified teachers is not related to their children’s academic achievement. 
Degree of state control and regulation of homeschooling is not related to academic achievement. 
Home-educated students typically score above average on the SAT and ACT tests that colleges consider for admissions. 
Homeschool students are increasingly being actively recruited by colleges. '-