Answers.Body: <p>Using the April 2021 FIDE data:</p>
  <p>Rating Range Female Mean/Standard Deviation Male Mean/Standard Deviation<br />
  1500+ F 1817/213, M 1870/230<br />
  1600+ F 1879/188, M 1919/207<br />
  1700+ F 1940/163, M 1972/184<br />
  1800+ F 2004/137, M 2030/162<br />
  1900+ F 2062/114, M 2091/141<br />
  2000+ F 2116/100, M 2156/122</p>
  <p>Note that for females 1500+ basically corresponds to the top half of the normal curve whereas for males it includes a significant chunk (about half a standard deviation) of the lower half</p>
  
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Answers.Text: Brian Towers♦, thank you for not just the [fish](https://bit.ly/2Z3JqI0) but also the [wheel](https://en.wikipedia.org/wiki/Reinventing_the_wheel) (i'm doing these wiki links because in some other comment someone linked to [this](https://bit.ly/2Z3JqI0) even though [it](https://bit.ly/2Z3JqI0) is such a common statement...
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Body: <p>From <a href="https://chess.stackexchange.com/a/34936">this answer</a>, the unconditional means and standard deviations are</p>
  <p><strong>Female</strong><br />
  Mean = 1505, standard deviation = 339</p>
  <p><strong>Male</strong><br />
  Mean = 1675, standard deviation = 346</p>
  <p>What about the case for ratings of 2000+ ?</p>
  <p>Let's do...</p>
  <ol>
  <li><p>preferably for as of...Apr2021, same month as the above computations, if it's hard to repeat the above for as of Sep2021 and then</p>
  </li>
  <li><p>as of Sep2021 if it's not so hard to repeat above Apr2021 computations for Sep2021?</p>
  </li>
  </ol>
  <p>(Basically E[X|X=&gt;2000] and square root of Var[X|X=&gt;2000])</p>
  <p>And actually while we're at it may we please also see these?</p>
  <ol>
  <li><p>1900 up?</p>
  </li>
  <li><p>1800 up?</p>
  </li>
  <li><p>1700 up?</p>
  </li>
  <li><p>1600 up?</p>
  </li>
  <li><p>1500 up?</p>
  </li>
  </ol>
  
Comments.ContentLicense: CC BY-SA 4.0
Comments.CreationDate: 2021-09-01T21:04:56.280Z
Comments.Text: Related: [Distribution for master level sorted by titles](https://nycdatascience.com/blog/student-works/visualizing-fide-chess-rating-list/)
Comments.UserDisplayName: SecretAgentMan
Tags: <rating><fide><statistics><elo><women>
Title: What is the mean and standard deviation for men's and then women's standard FIDE ratings for those 2000 and above?
ThreadText: # What is the mean and standard deviation for men's and then women's standard FIDE ratings for those 2000 and above?
  
  (Asked by: username_0 on 2021-09-01)
  
  From [this answer](https://chess.stackexchange.com/a/34936), the unconditional means and standard deviations are
  
  **Female**  
  Mean = 1505, standard deviation = 339
  
  **Male**  
  Mean = 1675, standard deviation = 346
  
  What about the case for ratings of 2000+ ?
  
  Let's do...
  
  1. preferably for as of...Apr2021, same month as the above computations, if it's hard to repeat the above for as of Sep2021 and then
  2. as of Sep2021 if it's not so hard to repeat above Apr2021 computations for Sep2021?
  
  (Basically E[X|X=>2000] and square root of Var[X|X=>2000])
  
  And actually while we're at it may we please also see these?
  
  1. 1900 up?
  2. 1800 up?
  3. 1700 up?
  4. 1600 up?
  5. 1500 up?
  
  **Tags:** rating, fide, statistics, elo, women
  
  > **Comments:**
  > **username_1**: Related: [Distribution for master level sorted by titles](https://nycdatascience.com/blog/student-works/visualizing-fide-chess-rating-list/)  
  
  ---
  
  ## 1 answers
  
  ### Answer by username_2 on 2021-10-18. Score: 2 | Accepted answer
  
  Using the April 2021 FIDE data:
  
  Rating Range Female Mean/Standard Deviation Male Mean/Standard Deviation  
  1500+ F 1817/213, M 1870/230  
  1600+ F 1879/188, M 1919/207  
  1700+ F 1940/163, M 1972/184  
  1800+ F 2004/137, M 2030/162  
  1900+ F 2062/114, M 2091/141  
  2000+ F 2116/100, M 2156/122
  
  Note that for females 1500+ basically corresponds to the top half of the normal curve whereas for males it includes a significant chunk (about half a standard deviation) of the lower half
  
  > **Comments:**
  > **username_0**: username_2 username_2♦, thank you for not just the [fish](https://bit.ly/2Z3JqI0) but also the [wheel](https://en.wikipedia.org/wiki/Reinventing_the_wheel) (i'm doing these wiki links because in some other comment someone linked to [this](https://bit.ly/2Z3JqI0) even though [it](https://bit.ly/2Z3JqI0) is such a common statement...  
  
  ---
  
  