In Great Britain, any of various schools maintained by the community, wholly or partly under public control, or maintained largely by endowment and not carried on chiefly for profit; specif., and commonly, any of various select and usually expensive endowed schools which give a liberal modern education or prepare pupils for the universities. Eton, Harrow, Rugby, and Winchester are of this class.
In the United States, a free primary, grammar, or high school maintained by the local government.
When you introduce competition into the public school system, most studies show that schools start to do better when they are competing for students. Bill Cosby