Below is a chart of average SAT scores for elite schools.
Similarly, if you're in a lower percentile—say, the 61st or 51st, you are well aware of the other students ahead of you, meaning you will need to rely on your other application materials as a counterbalance.
Below is a general chart chronicling the various percentiles.
Due to their popularity and reputation, these SAT averages are higher-than-normal in comparison with state schools and community colleges.
While several Ivy League and elite schools may be on the top of your list, hopefully, you also have some safety schools you're applying to, as well.