Fargo average and median values?

Mike had a video and/or graph on it a couple years back. From distant memory, I think the median was about 480 for all established players (200 robustness), and it shifted higher to maybe 520 for a higher robustness (I think maybe 500). This is from memory so may be way off:)
 
According to their website, 500 is ”close to the median”.

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That table has been out of date for years but for some reason stays on the home page with inaccurate information. There are now more than 70 players with ratings above 800.

mikepage

Thread 'What fraction of players rated over 700?'

In another thread some are discussing what fraction of players
--might have once, or
--are capable of, or
--regularly

run 100 balls in straight pool

and the discussion brings home the difficulty of deciding who is a "player." Is it someone who has picked up a pool cue once in the last 6 months? Someone with an established Fargo Rating? The answer will depend tremendously on this choice.

Here are a few stats from the FargoRate database that illustrate the problem. The bolded part refers to players with an established rating, though outside the somewhat arbitrary choice of 200...

Here are some stats from 2019. Back then, the average rating for players with 50 or more games was 463.
 
mikepage said:
Amongst players with an established rating, it is mean (average) 469, median (middle person) 471
Click to expand...
Do you have a chart showing the distribution? If I guess that maybe 80% of your population is between 450 to 550 Fargo - is there a way to check this guess?
 
VVP said:
Do you have a chart showing the distribution? If I guess that maybe 80% of your population is between 450 to 550 Fargo - is there a way to check this guess?
Click to expand...

It's about 35% between 450 and 550 (shown). If you have excel, you can input this formula

=NORM.DIST(550,469,106,TRUE)-NORM.DIST(450,469,106,TRUE)

106 is the standard deviation, and this gets the fraction under 550 and subtracts from it the fraction under 450.


1773684999624.png
 
mikepage said:
It's about 35% between 450 and 550 (shown). If you have excel, you can input this formula

=NORM.DIST(550,469,106,TRUE)-NORM.DIST(450,469,106,TRUE)

106 is the standard deviation, and this gets the fraction under 550 and subtracts from it the fraction under 450.
Click to expand...
For those interested, but were not able to do the math in the formula Mike gave - about 78% of the players in the Fargo database have Fargo less than 550 and 43% have Fargo less than 450 so 78-43 =35% have Fargo between 450 and 550.
 
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