Congratulations on building a strong profile while in high school. Make sure you run the Net Price Calculators, especially at Northwestern and Carleton, to make sure they’re affordable.
I’m going to suggest a couple more schools for you to consider, under the assumption that Carleton and Northwestern are affordable for your family. Smaller schools can often offer smaller classes and more attention for undergrads, whereas at bigger schools students need to be more assertive about seeking the attention (though it’s happily given if students seek it out). Your math classes will probably be on the smaller side anyway since you’re so advanced in the subject, but when thinking about the other classes you take, it might be a consideration. Don’t forget to apply to honors colleges at bigger schools, as that can make a difference in terms of class sizes, priority registration, special advisers, etc.
Anyway, these are a few schools you may want to consider:
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Emory (GA): About 7100 undergrads. This Atlanta school has a strong statistics program and is also part of a consortium where you can take classes at other schools (like Georgia Tech, Morehouse, etc).
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Loyola Chicago (IL): About 12k undergrads. An easier admit than Northwestern, but might be a good fit and offers through a Master’s in Statistics, so there should be sufficient depth for you.
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Southern Methodist (TX): About 7100 undergrads but offers through a PhD in statistics
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U. of Minnesota-Twin Cities: About 39k undergrads
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U. of Pittsburgh (PA ): About 24k undergrads
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U. of Rochester (NY): About 6800 undergrads