ECF Grading - Statistical Distribution
By Dave on Monday, 31st March 2008I’m a bit of a stats freak! Long lists of numbers give me the urge to do some analysis and put them into some sort of context we can all understand. I’m graded 83 ECF - but what does that mean in the greater scheme of things. On it’s own it means nothing, but in the context of the entire ECF grading database it shows what I expected - I’ve got a long way to go!
Having downloaded the entire ECF database which includes virtually all club and tournament players in the UK, I created a histogram of standard play grades (a total of 10376 players) using a bin width of 5 - click on the image below to view the chart.
This allows us to break down all UK club/tournament players into percentiles:
25th percentile - 82 (1660 Elo*)
50th percentile - 110 (1800 Elo)
75th percentile - 140 (1950 Elo)
90th percentile - 168 (2090 Elo)
95th percentile - 185 (2175 Elo)
99th percentile - 228 (2424 Elo)
So, based on this, my grade of 83 means that I’m just over the 25th percentile, which means I’m stronger than 25% of UK club players.
The most common grade is 117 ECF and the average player is rated with a grade of 110 (50th percentile). A top 10% club player is graded over 168. To break into the UK Top 100 you will need to be graded at least 229!
However, this only accounts for players who are serious enough to play for a club or in tournaments and obtain a rating. It is estimated that about 5 million people in the UK play chess (even if only casually), leaving around 50 million non-chess players (if we discount very young children). I’m making a fairly big assumption here, but I’m assuming that all non-chess players will be weaker than any chess player - meaning that a chess player will automatically be stronger than the other 90% of the population.
Based on those figures, I am now stronger than 92.5% of the UK population - that sounds a lot better than 25%!
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* The FIDE Elo / ECF conversion is calculated using standard formulae given by the British Chess Federation:
215 ECF and below : Elo = ( ECF * 5 ) + 1250
216 ECF and over : Elo = ( ECF * 8 ) + 600
