Lots of problems with that infographic. Four sources listed, two of which are homeschooling-advocacy organizations, with no indication which numbers are drawn from which source. How were the samples selected? Are they apples to apples, or mandatory all-inclusive numbers for the public schools vs. voluntary respondents to a survey for home school? [1] is a better source for demographic information, painting a quite different picture, while [2] highlights some of the ways that advocacy groups have been caught distorting the achievement numbers in their favor.

[1] https://www.responsiblehomeschooling.org/homeschooling-101/h...

[2] https://www.parentingscience.com/homeschooling-outcomes.html