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<p>I agree. By top 5-10% I am speaking across the board, regardless of the school. Obviously, a top 25 UG math program is likely to have a skewed population, but since Ph.D. programs generally take only a few students (varies by field, but in mine it’s usually around 6-8…12 if it’s a very large program…less if it’s a small dept) and likely only the top 25% of students apply to grad school from any given program, being outside the top 10% of students in your field nationally (when all factors are taken into account) is probably going to make your chances at Ph.D. admissions fairly low. I’m not saying your GPA needs to be the 90th percentile or better, but simply that if you’re in the 60th percentile across the board, you may want to reconsider your post-college career choices.</p>