On a 4.0 scale, the average is somewhere in the 3.7 range for what are called first-tier schools (Ivy League plus Notre Dame, Washington University, CalTech, Berkeley, Duke, Northwestern, et cetera).
I went to Washington University in St. Louis (currently 12th in the nation, I think, so nothing to sneeze at), and when I graduated from high school I graduated 16th in my class, had a 3.6 GPA and an SAT score of 1360 (at the time there was no writing section, so max was 1600)- let me tell you, I thought I was all that and a bag of chips.
My freshman floor had 30 students, 20 of whom were valedictorians, and all of whom had a 1450 or above on the SATs.
It was very humbling, but I'll follow it up with this: GPA and admissions test scores are not the end-all be-all of college admissions. There is a lot more that goes into it. Yes, you have to meet some standards, but you also have to show that you are a different person, at least in one regard, from everyone else who's there. I had a pretty crappy resume when it comes down to it, but I had an interest in neurology and veterinary medicine and combining the two in my studies. My application essay reflected that. And I hadn't really played sports, either, but I had played in the band, so I'm sure that counted. And I'd done some theater, so that counted. And, at the end, there's also some luck involved (Harvard gets 25,000 applications for about 1200 spots, do you think they read through all of them? They don't).
Don't sweat your GPA, don't sweat your SATs, and don't sweat your activities. Be a complete, relaxed student, and you'll find the school that's right for you.
And, for what it's worth, I'm not a veterinarian or a neurologist today. So don't sweat your major too much, either.
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