Chance me for MIT, Caltech, and Stanford!

I agree with @tsbna44. If you had a 3.68 GPA from a regular high school I would not bother applying to MIT, Caltech, or Stanford. However, from a competitive private high school it is much harder to say (at least for those of us who went to normal public high schools). Your guidance counselor should have a good idea what your chances are.

I definitely would also apply to other universities where admissions is more likely.

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