<p>Your stats are not relevant. Those who apply to top colleges are not the general population. They are those students are the “top”. Income and academic achievement are heavily linked. Also median household include all type from the elders to those just starting out Families with college aged kids are a sub group within that. </p>
<p>About half, so yes 40-60% of the kids at these expensive school are full pay. Their families do not qualify for fin aid.</p>