Seems only marginally useful. If you have to send someone to a wikipedia page to explain the math behind a term that only a statistician has ever heard of, then it seems a bit pointless.
Median may be better. But again, how many people will understand the difference between average and median? I'd say keep it simple, and use terms that any player wanting to join will understand.
You may be right for the Gini coefficient, but I refuse to think that we can ask people to understand the difference between a liege and an officer, but not the difference between median and average.
