^ Yes they discount tuition through financial aid packages in an effort to fill beds / seats. Many will use a combo of need and merit based scholarships to attract students. I suppose the philosophy is that it’s better to get a student at half price than to have no student at all. The tuition at my 9th graders school is $66k for boarding and $37k for day students, which is well above average.
They are also 40% international, which is an eye popping percentage to me. If they lose a lot of Chinese students this year, they are going to be in serious trouble. I’m sure they have lots of company on that front.