Calculate Normal Distribution Probability

Grunter31

Board Regular
Joined
Mar 11, 2017
Messages
53
Office Version
  1. 365
Platform
  1. Windows
First of I'm not sure if this is the place for such a question

I have a set of 8 Players (could be any number from 2 players to 8 players in the group) I would like an excel formula to workout the percentage chance of each player to score the most points.

I have managed to workout on Excel how to do a Player Head to Head Match up. But for the life of me I can't workout how to do a Group of 3,4,5,6,7,or 8 or More Players.

As you can see the First example is just the numbers the 2nd example is the formulas I have used to get those numbers.

[TABLE="width: 259"]
<tbody>[TR]
[TD][/TD]
[TD]Player A[/TD]
[TD]vs[/TD]
[TD]Player B[/TD]
[/TR]
[TR]
[TD]Prediction[/TD]
[TD]29.59[/TD]
[TD][/TD]
[TD]27.64[/TD]
[/TR]
[TR]
[TD]StDev[/TD]
[TD]8.82[/TD]
[TD][/TD]
[TD]8.53[/TD]
[/TR]
[TR]
[TD]Mean[/TD]
[TD]1.95[/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Variance[/TD]
[TD]151[/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Z score[/TD]
[TD]0.16[/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Probability[/TD]
[TD]56%[/TD]
[TD][/TD]
[TD]44%[/TD]
[/TR]
</tbody>[/TABLE]



[TABLE="width: 518"]
<tbody>[TR]
[TD][/TD]
[TD]Player A[/TD]
[TD]vs[/TD]
[TD]Player B[/TD]
[/TR]
[TR]
[TD]Prediction[/TD]
[TD]29.59[/TD]
[TD][/TD]
[TD]27.64[/TD]
[/TR]
[TR]
[TD]StDev[/TD]
[TD]=SQRT(B10*2.63)[/TD]
[TD][/TD]
[TD]=SQRT(D10*2.63)[/TD]
[/TR]
[TR]
[TD]Mean[/TD]
[TD]=B10-D10[/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Variance[/TD]
[TD]=B11^2+D11^2[/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Z score[/TD]
[TD]=B12/SQRT(B13)[/TD]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD]Probability[/TD]
[TD]=NORMSDIST(B14)[/TD]
[TD][/TD]
[TD]=1-B15[/TD]
[/TR]
</tbody>[/TABLE]
 

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If anyone could point me in the right direction to get this solved would be brillant.
 
Upvote 0

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