You're missing my point - I'm no genius, just a bit academically oriented. My brother is the complete opposite - yet he still is far above what the public schools are pushing out. My younger siblings seem to be turning out the same way. And I can personally attest to many other families that have had similar results.
Homeschooled students score into the 84th-89th percentile on average. Statistically, it's unambiguously better at educating children. My comment was anecdotal on purpose, to try to show that, even in an extreme case (remote location, little social contact, mom had no college degree, no state homeschooling assistance) it still produces vastly better results than the public schools.
You want statistics, here they are: http://www.hslda.org/docs/news/200908100.asp
Homeschooled students score into the 84th-89th percentile on average. Statistically, it's unambiguously better at educating children. My comment was anecdotal on purpose, to try to show that, even in an extreme case (remote location, little social contact, mom had no college degree, no state homeschooling assistance) it still produces vastly better results than the public schools.