There is no way to evaluate EQ. Even IQ test, in my opinion, is quite trashy. Personally, I don't think developmental psychologists know how to measure one's intelligence. IQ test may be good to measure one's cognitive skills, but intelligence is a much broader term.
Anyway, relatively speaking, I prefer private schools than the public school of my district. Teachers are of higher caliber; class size is smaller.
You seem to have insights on student body. Are they very spoiled? Just curious....