I can see that in terms of a current snap-shot, but my own experience with educational aspects of USAn class is more generational and expectation-based. Did your parents get college degrees? Did their parents? Was it simply expected that you would go to college--taken for granted?

There's a fascinating case study in my father's family (the generation born just after WWI). My grandfather was a small farmer with intervals of union dockhand work. My grandmother was a schoolteacher with a teachers' college certificate. But my great-grandfather had been a doctor (IIRC) in the midwest before they picked up stakes to homestead in the NW.

My Dad's generation all grew up doing farm labor and most put in a stint of either military or manual union work or both. And every single one of them** (boys and girls both) got a four-year college degree without ever questioning that it was part of their life path. Of the 7, they turned out 2 college professors and 2 lawyers. And that same expectation was passed on to my generation. It doesn't really align with class in a traditional way and seems to be on a different axis than financial measures.

** Except for my uncle Rick who died in WWII before having the chance.