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No, that percentile is better than 86% of the other students in your grade and gender that took it. That is not medicore, it’s really good. The score puts “in the game” so to speak at Exeter and at any of the schools as do your grades.
It is too bad that your family can’t visit. Did you have a telephone interview yet? Or is an admissions rep coming to your area? Are there any secondary school fairs you and your parents could attend? Having them talk with admissions reps might be a good way to show them the benefits and allow you to apply to more than one school.</p>