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I pulled the Fide player database for standard play ratings. The set of ratings had a minimum of 1001, maximum of 2862 (Carlsen), an average of 1663, and a stan
by defertoreptar 7y ago
I pulled the Fide player database for standard play ratings. The set of ratings had a minimum of 1001, maximum of 2862 (Carlsen), an average of 1663, and a standard deviation of 349. The 25th percentile had a rating of 1428, 50th percentile: 1663, 95th percentile: 2237, and top percentile: 2862.
Given those ratings, the 95th percentile has a ~100% chance of beating the 25th percentile, a 96.75% chance of beating the 50th percentile, and a 0.38% chance of beating Magnus Carlsen.
I think 1 in 20 is fairly rare. It's just that something being rare and something being hard to reach aren't always the same thing. It's likely just a matter of "trying hard to reach x" is the fairly rare thing. That doesn't mean it's not a worthwhile accomplishment. Sure, only having a 0.38% chance of beating Carlsen doesn't look great, but then you're comparing yourself only to the top players and not looking at the whole picture.