Post Reply to McGraw's Bench

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Hi Baba, as for what to do with the outliers, the easiest by Fighting_Artichoke

solution is to drop the highest and the lowest scores and average the rest. That doesn't require you to make any decisions as to what constitutes an outlier, but utilizes slightly more information than the median. But if you have only 3 or 4 data points, the median and the mean (after removing the first and last values) are identical because there are exactly 4 values total. If there were 5 ratings, the number would NOT be the same.

Another candidate would be to take the geometric mean (Nth root of the product of N numbers), a nice way of finding central tendency because it tends to mitigate outliers.

An aside on the ratings: I would just use the 4 main ratings because most players aren't rated on Sports Madness and Dan Olsen's CGBR is redundant if you are already using Hoopgurlz. Dan Olsen's pay site (CGBR) updates more frequently than Hoopgurlz, but it's the same guy's rating. So CGBR would be preferable, but it's hard to get it unless you are a subscriber. Because CGBR ratings are highly dependent on WHEN the ratings were acquired, it seems less valuable than the Hoopgurlz rating. For example, Shelby Calhoun was highly ranked earlier in her development, but sank in the ratings over time. Dan Olsen didn't find her worth a top 100 rating in the final rankings of the 2020 class, but your listed CGBR rating was 15th! Maybe you got that rating from some time in the past when she was more highly regarded. I checked the VTech site and they only mention her high school accolades, but never mention her high CGBR rating. Maybe it's an old rating? (Don't really know.)

So here are the ratings of the women you listed, only counting ratings from HG, BS, PN and ASGR. The numbers are MEAN, MEDIAN, GEOMETRIC MEAN:

Edwards 84 87 49
Abdur-Rahim 113, 117, 108
Hayes 62, 43, 52
Calhoun 76, 72, 72
Todd-Williams 58, 45, 51
Thompson 103, 101, 101
Levings 75, 73, 70
Hutcherson 54, 46, 40

Sonia Citron (2021 of course) has one outlier among her 4 scores (14, 15, 16, 33) but but her mean (19.5) is not too different from her median (15.5) or geometric mean (18.2).

So which one is your favorite?