Grades K-4: Public
Grades 5-8: Private
Grades 9-12: Public
College: Private
Pretty much know the pros and cons of both, though in the end it kind of all boils down to the city/town you live in and the quality of the schools. In some cities/towns, private schools are preferable due to the sheer lack of money in the public sector, and then in some cities/towns, private schools are simply superfluous due to the high quality of the public schools in the district,
Arguing about which is better, thus, seems a little pointless.