DJAtkins:
How did I just play a Tour Master with an average of 74.20?
When a player moves up a tier their stroke average is reset and starts over again.
From there the stroke average can stay the same, go up, or go down.
But only until a player has posted the number of ranked rounds needed to move up another tier. At that point the scoring average can no longer go up and can only stay the same or go down.
That player posted scores that caused his stroke average to go up after he advanced to the Tour Master tier.