I was thinking it might be a bit of a stretch get 3-point EDU uplift in one 4-year (char. gen.) term, but of course in general it would be the people with better first degrees who enter an advanced degree programme - while an average first degree might be equivalent to EDU 9, a better one might be EDU 10. A short programme advanced degree (what in the 21st century western world we might call a master's degree) could get you to 11, and an extended research study programme (our PhD) to 12.
It should, but in Traveller the Hons Grads only get a better chance in subsequent careers over the basic Grads, there is no EDU difference and of course it is INT that determines your level of graduation so there is no correspondence there.
Only 3% of the population have EDU of 2 and need to roll 8+ to get into the university pre-career. They still have over 40% chance to succeed.
25% of the population have EDU 3-5 and need to roll 7+ and have 58% chance to succeed.
44% have EDU 6-8 and need to roll 6+ and have 72% chance to succeed.
25% have EDU 9-11 and need 5+ and have 83% chance to succeed.
3% have EDU 12 and need 4+ and have 91% chance to succeed.
Assuming the expected spread of EDU from the 2d6 roll, 70% of Traveller Citizens can get into University in their first term based on the EDU check. This ignores the effects of SOC which pushes the numbers up. The same numbers apply to the graduation check (substituting INT) so 70% of those entering will graduate.
Most people can get into University in Traveller, that pre-career choice would be better just named Further Education. The EDU benefit will be marginal for most citizens. The real value is those two skills. For most normal citizens that might be Profession with a side order of something.
Profession-2, Admin-1 is within the grasp of 50% of the general population regardless of their starting EDU and would be a perfectly reasonable set of skills to be successful in the workplace (I would love to work with people at this level). Perhaps this should be the default for the normal NPC, just choose two skills from the University list*.
Most who start with very low EDU can at least expect it to be brought up to a level that minimises the impact. The vast Majority of EDU 2 people will end up at least moving up a modifier bracket. EDU 4-5 should break into the zero penalty band.
University in Traveller does not appear to be elitist, instead it seems to be a Universal education to prepare its citizens to be productive at 22 years old.
It may well be that Scholar is the Academic University route.
*I would probably expand that list though. Companion provides a number of alternative pre-career options, but in reality you could just add things like Broker to the the University list to cover off most mundane jobs.