You're right. I just looked it up and total tuition + room and board is like 40,000. In that case, it is closer to the more expensive schools.
And to a few posts up, private schools really don't give that much money, unless you qualify for ridiculous financial aid or are a D1 athlete. Merit scholarships hardly exist at private universities, so you end up paying what you see on the website. And really, if you come from a middle class family, there is a very high chance you won't qualify for financial aid.