OldManRoger: I think your all wet...you show me with an average score of 63 and to my knowledge I have never shot a 63 or lower for 18 holes nor have I shot a 31.5 for 9 holes.
Winning or doing well in tournaments also affects average score. That is to say, where one ranks (first, second, or third) can affect average. Also, match play wins (if against higher tier players) can also affect average by lowering it.
It's not simply the score that can affect average.