Re: a real time moving average, I just look at my par3, par4 and par5 averages and do the math it takes to create a playing live average based on par 72 once a month. This month my playing average is 66.14. Our stats are based on ranked games from the very first one, not per tier, so I like the playing average instead as it's based from day 1 as well.
Although, I'm about 300 games into Legend so I suppose my WGT Legend average is correct for my tier at the moment since it's not saturated yet. Overall it's just a number at the top left of the screen. Means about nothing.