Originally posted by prosoccer
Median or mean? Personally I would use mean.
Originally posted by LanndonKane
Wouldn't it be more accurate to go by the number of players instead of the number of pages, as there are more than 1 players per page?
The problem is that it would be a total pain to calculate the mean, the easiest way to do it would be to write a robot to hit every page in the player tables, read the rating of each player, and get the mean from that. You'd probably find it came out at 1,200...
No, people's ratings vary by more than a page on a daily basis. If you look at page 250 of the ratings table (1,200 - 1,201) +16 for a win against another 1,200 rated player moves you to page 239. People finish games on a daily basis. Essentially it's only accurate within the variance of an individual players rating. I bounce around between 1,700 and 1,800; assuming that range (100 points) is fairly typical the percentile calculation gives you a result which is only meaningful within that range, so for me that's 1,750 +/- 50 = page 13 +- 3 = 97% +- 1%. For a 1,200 player that's about 40 pages [40/376 =10%] so 1,200 = 50% +/- 10%. So in terms of percentiles the error is between 1%and 10%, there is no point in doing a calculation to an accuracy of 1 part in 10,000; it doesn't give you any extra information.
Changed brackets from round to square to avoid