Had a match against a guy once, who claimed to be a 30. I was a 12 at the time. I shot 86 and I think he shot 87, so I lost by double digits.
I called him out on his handicap and he said 'well my average score is about 100'. I had to explain to him that a handicap is NOT an average score, it represents about an 80th percentile of your ability (IIRC). Also, if you can shoot 87, your average score is not likely to be 100.
If you beat your handicap by several strokes (double digits in this case), your handicap is not accurate. It isn't 'impossible', but it is highly unlikely (unless you are in the midst of massive improvement and the handicap just hasn't had a chance to reflect that yet.)
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