It didn't really matter Robert I could have made more effort answering the question rather than pointing this out.
@Mrmp1, I'll give this a brief go.
Your average is 55.29. Lats say you'd played 100 rounds at Champ' then it includes 5,529 strokes, your last round was a (37) 74 if you scored that again it would include 5,603 and be 55.48 (5,603/101).
If you'd played 900 rounds that's 49,761 strokes + 74 =49,835 / 901 = 55.31.
So the more rounds you've played the less it changes if it went to 55.40 then you could start checking around 500.
The easiest way to do this is with a score that's a good bit different to your average and with yours that means higher. If you don't mind your average going up a bit max out a 9 hole rr and it should be fairly easy to work out how many rr's you have, the bad score would be first to go at saturation. Remember to note your average before and after rounds.
Do you know what your average was before the Olympic 37?