Unless it's a gifted magnet school, any school classifying 16% of its student body as gifted is obviously mis-classifying a raftload of them. At the 84th percentile you're only just outside one standard deviation. No wonder she feels superior.
With that said, my friends were almost entirely below me in IQ, because the ones at my level were in things like the chess club or the math club, and I wanted to have fun. Most of my closest friends were the kind of AP students that actually have to study, and they'd get mad at me when I'd do things like crank out a 5th period essay during lunch. But I also had a several friends who'd never seen the inside of an AP class.
