<p>I think you guys may have the right idea, but you are wrong about how colleges actually view scores.</p>
<p>I think that it’s hard to differentiate between 99th percentile scores since there is such a small margin of error (what information can you honestly glean from the difference between a 34 and a 35 on the ACT, or a 2280 and a 2350?), but larger differences can be used to judge applicants. A 2150 and a 2350 are both excellent scores, but one shows a greater degree of mastery. Between score differences of less than 50 points (or not even a single point for the ACT), it can be difficult to differentiate, especially at the higher percentiles of the SAT/ACT, but in general I think that larger gaps of 100 points or more can indicate some differences. Obviously a lot of faith is put into a single day of testing, but for the most part the better students <em>should</em> be getting more questions correctly, or at least retake the test if they feel that their first score is not reflective of his/her ability.</p>
<p>At the end of the day, most of the score differences between top applicants is splitting hairs. What can you really say about someone with a 2250 vs. someone with a 2320? They both have the potential to be successful at any school in the country, and after a certain point a lot of admissions decisions are made on other factors. Not to state the obvious, but a higher score is always better from an admissions standpoint, and there is no reason not to strive for as high of a score as possible. However, I don’t think admissions officers, at least not the ones I know, read too much into relatively minute differences that could honestly be the result of hundreds of factors, such as having to go to the bathroom during a section of the SAT, having a distraction in your testing center, or just filling out the test sheet incorrectly for one question.</p>
<p>For anyone that doesn’t want to read this basically redundant mess: Higher scores are better, but college admissions officers probably don’t read into differences a single correct or incorrect answer may create. Focus on the bigger picture and realize that small differences don’t matter too much.</p>
<p>And as for your chances, I think that you may need to increase your SAT to at least a 2150, probably closer to a 2200, to have a good shot at most of these schools. I think that for Stanford especially, it will be difficult as an international applicant. Try to improve your scores as much as possible, and make sure that you write as good of essays as you can. If your essays are stellar and you present yourself as someone who can bring a lot to Stanford (or whatever school of your choice), you could have an okay shot. Realize that all of these schools are insanely competitive, and that international applicants have poor chances as is. Good luck anyway though!</p>