Ratings Distribution across the Chess.com community

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DeanFurb
The data are available for chess.com to report the full distribution of rating for each game time, including mean, variance, skew, kurtosis, and so on. It would be interesting to know where one stands in that distribution. Why not provide that in stats?
Martin_Stahl
DeanFurb wrote:
The data are available for chess.com to report the full distribution of rating for each game time, including mean, variance, skew, kurtosis, and so on. It would be interesting to know where one stands in that distribution. Why not provide that in stats?

 

You can always suggest it. Help > Make a Suggestions

 

HuguesJM

See a similar thread at https://www.chess.com/forum/view/livechess/rating-distribution-graph

There are leaderboards, including the one at https://www.chess.com/leaderboard/live/rapid

which displays the distribution at the percentile (define as: the percentage of players whose rating is worse)

HuguesJM

I was wondering which rating at rapid I should improve to, in order to be in the top 10% players.

So, looking at the leaderboard, I copied the values (#players vs binned ratings) and calculated the cumulative sums and percentiles:

rating #players cumsum players percentile
100            371393 371393 2.43%
200            713045 1084438 7.09%
300          1062886 2147324 14.03%
400          1395763 3543087 23.15%
500          1585391 5128478 33.51%
600          1661301 6789779 44.37%
700          1612318 8402097 54.90%
800          1503122 9905219 64.72%
900          1265075 11170294 72.99%
1000          1061899 12232193 79.93%
1100            847289 13079482 85.46%
1200            681612 13761094 89.92%
1300            489680 14250774 93.12%
1400            348934 14599708 95.40%
1500            242416 14842124 96.98%
1600            169290 15011414 98.09%
1700            112122 15123536 98.82%
1800              73300 15196836 99.30%
1900              45790 15242626 99.60%
2000              29797 15272423 99.79%
2100              16357 15288780 99.90%
2200                8582 15297362 99.96%
2300                4130 15301492 99.98%
2400                1677 15303169 99.99%
2500                  576 15303745 100.00%
2600                  168 15303913 100.00%
2700                    61 15303974 100.00%
2800                    25 15303999 100.00%
2900                      5 15304004 100.00%
3000                     -   15304004 100.00%
3100                     -   15304004 100.00%
3200                     -   15304004 100.00%
3300                     -   15304004 100.00%
3400                      1 15304005 100.00%
       
SUM        15304005    

 

Therefore, the rating for top 10% (alternatively the percentile for which 90% of players are worse) is around 1200.

Notes: the values provided are binned, so I don't know if it's upper bound, lower bound or centered. Besides, access to full data (rather than the histogram provided) would help determining exact rating.

1337pRoGaMeRJkEeEeee

By the way i want to ask if rating actually means anything?

On my 1400s, in like 7-8 of 10 games i meet Q abusers (guys that go Qh4/h5 or fried liver or reversed fried liver involving attempt of early Q attack). If they lose q they resign, they cannot play any other piece and if they do they just go straight up exchange eveything without any tactics asap and pass another Qs.

They all play for the hope of oppenent's blunder and do exactly same blunders on their own

Being 1400, they are naturally like 1100 at max!!

They do not even try to play some various easy gothamchess stuff just rush Q or exchange everything!

I'm sick of this!!

Why there are no players that try to play freaking chess and enjoy game not that stupid Q abuse?

From which rating actual game of chess starts? I want to play interesting combinations and mating nets in the midgame and all but matchmaking system is like in dota where i'm always magnetically matched with a type of players that i hate most!!

DaanBruinsSchaakt

Wow that data is very interesting.

MagnutClarsen-X

Why does it say "cumsum" ?

Decolorizing
MagnutClarsen-X wrote:

Why does it say "cumsum" ?

Cumulative sum

Its just the total amount of people in a section

mikewier

The table also shows just how different the chess.com players are from the OTB tournament world. In the USCF, the average rating is in the 1500s. A rating of 1200 would be about 1.5 standard deviations below the mean, around the 10th percentile.

ArielLevy8

yo mikewier can you plss coach me plssssss

ArielLevy8

1934 btw

ArielLevy8

1934 rapid and 1990 960