Originally Posted by Chuck Kennedy
Here's a little stats fun. Waugh's rating has a standard deviation of 7.2 compared with Sexton of 2.5 SD due to having more rounds. So there's a 99%chance Chris' true rating falls between 981 and 1025. There's a 99% probability that Nate's rating falls between 1010 and 1026. So there's some chance that Waugh has a true rating higher than Sexton.
Nice use of the words "small chance" but how about we make it more fun by sharing the actual probability that Waugh's true rating is higher than Sexton's true rating!!!
Given that Sexton's Median score is higher then his mean score and Waugh's median is less then his mean, I am betting Waugh's chances of actual rating being higher than Sexton's is really really really really small. Waugh however is a far far far far far far far far far better golfer then I am.
Here is a graphical review of what Chuck is telling you, I am however not using any PDGA Ratings math of the doubling of highest rated rounds!!!