Ivy League schools are a pain in the ass to get into for the average kid. You have to write multiple essays, have high test scores, good grades, get three letters of recommendation, have lots of extracurricular activities, shell out pretty high application fees, interview with representatives of the school in your area...then come up with something like $50K per year if you actually make it through the process.
I started the application process to a few Ivy League schools and other big name private schools and decided they didn't coincide with my slacker lifestyle. I think the only people who truly could get into those schools actually do get into those schools, because you have to have the overachieving (and probably social climbing) mentality to even start down that road.
Unless you were born into the right family, of course. Then mommy and daddy get you in based on reputation, connections, & donations.