<p>“A 2300 is a long way from near perfect at Yale and Stanford.”</p>
<p>I mean, it sounds like a huge gap when you look at the cumulative score, but by section, the OP has one perfect score, and two that are within fifty points of the upper quartile. I think that Yale and Stanford would recognize that the OP is definitely qualified for admission based on academic performance, especially when you look at the other amazing test scores (four 780+ SAT II scores, three AP 4s, six AP 5s), independent research, and additional academic awards. Somehow I don’t think that an admission committee will look at all of that, in addition to sincere dedication to dance (30+ hours a week at times, nine years continuity) and community service (200+ hours, on top of mission trips), and think, “Oh… she’s fifty points short of the top quartile in math…” and reject her based on that criterion alone.</p>
<p>I’m not trying to be argumentative; again, I’m just trying to say that I would definitely give the OP better odds than 3%, or even 7% for that matter.</p>