I went back and changed the simulation a little to factor in different number of strokes taken.
Here’s what the 2009 Sample Looked like
Average number of Putts: 925.05
Standard Deviation of Putts: 207.60
Average %: 87.1%
Standard Deviation %: 1.47%
Then I ran 5 trials using 200 putters, with a normal distributed number of putts around the average of 925, and standard deviation of 207.6 making on average 87.1% of their putts. Here are the results:
Average %: 87.0%
Standard Deviation 1.11%
As you can see randomly, there is slightly smaller variation. Obviously this still doesn’t account for factors like different green difficulty and other things that might make the standard deviation higher.
I think overall there is a slight difference between the best and worst putters on tour, but most of what we see is just random.