(2) your chances of getting a scholarship (full or partial) depend largely on the average SAT score(s) of the schools in which you’re interested. if the average scores are markedly lower than yours than you probably stand a good chance; if they are substantially higher, you stand a not-so-good chance

Your SAT scores are not released to the general public–they are only sent to the colleges that you tell them to send them to. Therefore, no one knows what your scores are unless you send your scores to them. Schools do not typically contact you to offer you a scholarship–you apply to the school and fill out the Financial Aid paperwork and then they look at everything and make you a Financial Aid offer. It does help to make an appointment and go talk to the Financial Aid Officer at the schools you want to attend. The only time I know that schools contact students with sholarships offers is if the student is a National Merit Scholarship winner, but this is based on the PSATs, not the SATs.

http://www.thebigwww.com/scholarship.html