I have one in public and one in private – I actually took my son out of the private school because it was a repressive and somewhat poor educational experience for us.
My daughter goes to private school and it’s not to keep her away from ‘bad kids’ (I went to public school) – just that it is a superior education if it’s the right kid and the right school. As the previous posts acknowledge – I’m more worried about ultra-rich kids with poor morals and parents who aren’t really parenting. Schools with too much money have their own set of problems.
I also took 2 semesters of Calculus in High School with college credit at public school and my parents wouldn’t accept anything less than an A.
Each school and each kid is different. It really comes down to how involved the parents are – you should be really proud of yourself and your daughter.