@finolex1 that’s a good point about greek life but keep in mind that part of the reason greek life is less popular at Yale is because of the prevalence of secret societies. They largely fill the role of greek life, albeit, in a different way. If you count the members of the societies and the fraternities, the proportion of affiliated students at Yale probably rises dramatically.
https://en.wikipedia.org/wiki/Collegiate_secret_societies_in_North_America#Yale_University