[KidPokerX]

But you do not know the mean for both players. What if Player A plays micro-limit penny poker and comes up $5 over the course of 100,000 hands and Player B plays $3,000/$6,000 HE and losses $12,000 over 100,000 hands. Since you do not know the average (mean) gain/loss for either player, you cannot determine who experienced greater swings (on a % basis). Your common sense is telling you one thing, but the hard evidence is not there. Player B may have a smaller deviation than Player A - you just don't know.

If you still wish to argue this point I would like you to include the S.D. formula.