Top 5 universities (and elite private schools more generally) are usually much cheaper than public universities for students with limited means because they have deep pockets for need-based financial aid while public schools have little if any additional campus aid.
Now, awareness of this fact may be not widespread enough, skewing the applicant pool toward the outcome.you describe because of perceived cost, but it's much more likely that a student wouldn't be able to afford a public college than an elite private one.
Then you should look at the actual university policies outlined on their website. At top of line elite schools (Stanford, Princeton level), if your family income <$65-75K, both tuition and housing are free, and <$125K tuition is free.
I know for a fact that state schools like UC Berkeley and UCLA aren't that generous with housing.
>> Just look at the make up of study body at the top 5 schools.
Students from wealthier backgrounds tend to have more access to academic and educational resources and are thus more qualified and more likely to be admitted.
Not a judgement suggesting that a less fortunate child would not succeed in a similar environment; many of them just don't have one.
That reflects more the effects of family educational background and socioeconomic class on pre-collegiate academic achievement and, even with good achievement, inclination to even bother to apply to elite schools (in part, again, because of lack of awareness that headline price isn't the whole affordability story.)
No. They're cheaper for people with nearly no means.
The people with some means (aka the "middle class") can stretch their budget to afford state school.
Most states also have transfer programs that let you go from a 2yr at a CC into the equivalent 4yr at state school which takes a huge chunk out of the cost.
Now, awareness of this fact may be not widespread enough, skewing the applicant pool toward the outcome.you describe because of perceived cost, but it's much more likely that a student wouldn't be able to afford a public college than an elite private one.