Just a quick thing regarding definition of education levels, from a global perspective:

Those of us not from the USA may have quite different levels of education at each of the levels you define – I don’t know how much it is real or myth but I have been told that the typical British education is somewhat above the equivalent american for the same typical age and institution – please don’t take any offence from this, it’s just meant as an example.

So just remember that you may wish to take into account potential variability in either direction and I do like to think of this as a more global project even if the key players are all in the USA doing the hard work.

I also know from personal experience that the maths/physics/chemistry I was taught at a Grammar school in the south of england was well above those from state schools at the same level, so I never experienced any ‘jump’ in required knowledge up to and including degree level. But having spoken to others when starting University some of them saw huge jumps between GCSE to A-level or A-level to university. So there can be significant variation even within the same country.

The fact that I dropped out of my chemistry degree after the first year to change to Computer Science is unrelated of course 😉

I don’t know what you can do with any of this information, however.