Joe,
First of all, I hope you'll agree that looking at team averages isn't much different than looking at individual averages. In my scenario, you'll get the same answer whether you multiply the numbers by 1, 2, 3, 4, 5, etc.
I'm using a base average only to remain within the parameters of the situation presented within the original posting. If we remove that particular constraint, then you are absolutely correct in your calculations. However, you wouldn't be addressing the issue originally posted (although that shouldn't stop you from doing anything).