texbbqman: "Your Average Score will be based on ONLY your best scores, so completing a bad round will not negatively impact your Average Score or Tier."
I don't think this actually true.
AFAIK, it's true for saturated averages, i.e. after hitting the tier's "magic number", 750 rounds for TLs. Below that number, the average will budge, but the high numbers will be eradicated after saturation. A more precise description would be, "a bad score will not affect tiering up."
I've played a few hundred rounds in the Tour Legend tier. Several weeks ago when my average was very close to 57 I played a difficult tournament and shot well above my average. My average went up immediately to 58.7. That doesn't seem to sync with the guideline.
It's not in sync with my knowledge, either. I see a 34 + 35 in your recent history. 68 + 70 would affect the average by a combined 24 / <number of scores>, e.g. 24/600 = 0.4, not above 1 as you describe it.
OTOH, those 28s and 29s translate to 56 + 58 and are very close to the average. From the two 28s, you might get -4/600 = -.007, potentially below the rounding error of the display. And, you may have more than those 600 under your belt.
I do have to ask what am I missing in the calculation of average scores??
That big jump is a mystery, but averages of Legends and above are difficult to grasp by their look because of the big numbers in the denominator.