I was thinking, The only conceivable way that all academy students could have the same stats, would be if they all had exactly the same childhood. Since that is obviously not the case, how about a more advanced questioning quiz thing, so that new people has a more unique character. I suggest questions about activities and such, where the answers reflect a certain preference:
As a child, you spent your time:
A) Beating up the other kids {Strength}
B)Running from the kids who beat me up {Dexterity}
C)Getting beat up {Constitution}
D) Reading(inside away from any danger) {Intelligence}
E)Convincing other i am not the one to be attacked {Wisdom}
This way, stats are individualized, but to have massive amounts of strength of strength will leave a deficit elsewhere. preventing any overly powerful acads.