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Education > Math Recreational > Position means ...
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Position means for Powerball

by Stig Holmquist <stigfjorden@[EMAIL PROTECTED] > Mar 9, 2008 at 03:39 PM

If you add up the numbers ein each position after they have been
sorted in ascending order you will find after the last 112 draws that
the means are 9.6, 18.7, 27.4, 37.1 and 46.6 and tere appears to be a
slow decrease in each mean from earlier draws. 

It is tempting to suggest that the ultimate means after millions of
draws would be 9-18-27-36-45, but to verify this wild guess one would
need to do a simulation or else apply some kind of probability
calculation, which is beyond my ken. 

The 55 ball numbers for PB can be divided into five equal ranges: 
1-11, 12-22, 23-33, 34-44 and 45-55 which have the means : 
6-17-28-39-50. The fact that the observed means differ from the
nominal means is due to many balls drawn for position 1 are over 11
and there are no numbers below 1 to compensate and likewise there will
be many numbers below 45 drawn for the 5th position but no numbers
over 55 to compensate.

Would it be possible to predict by probability calculation what the
ultimate means should be?

 Stig Holmquist
 




 19 Posts in Topic:
Position means for Powerball
Stig Holmquist <stigfj  2008-03-09 15:39:16 
Re: Position means for Powerball
Mensanator <mensanator  2008-03-09 15:56:47 
Re: Position means for Powerball
Stig Holmquist <stigfj  2008-03-10 06:58:20 
Re: Position means for Powerball
Mensanator <mensanator  2008-03-10 13:14:21 
Re: Position means for Powerball
Stig Holmquist <stigfj  2008-03-10 21:19:43 
Re: Position means for Powerball
Mensanator <mensanator  2008-03-13 12:27:18 
Re: Position means for Powerball
Stig Holmquist <stigfj  2008-03-13 19:34:00 
Re: Position means for Powerball
Mensanator <mensanator  2008-03-10 18:24:17 
Re: Position means for Powerball
Stig Holmquist <stigfj  2008-03-11 10:45:49 
Re: Position means for Powerball
Mensanator <mensanator  2008-03-13 16:50:30 
Re: Position means for Powerball
Mensanator <mensanator  2008-03-11 16:06:58 
Re: Position means for Powerball
Stig Holmquist <stigfj  2008-03-12 16:59:40 
Re: Position means for Powerball
Mensanator <mensanator  2008-03-12 16:19:15 
Re: Position means for Powerball
"Frank J. Lhota"  2008-03-12 19:59:17 
Re: Position means for Powerball
nigel <useweb@[EMAIL P  2008-03-18 13:37:42 
Re: Position means for Powerball
Stig Holmquist <stigfj  2008-03-18 13:25:25 
Re: Position means for Powerball
Stig Holmquist <stigfj  2008-03-13 08:06:19 
Re: Position means for Powerball
se16@[EMAIL PROTECTED]   2008-03-10 04:36:20 
Re: Position means for Powerball
se16@[EMAIL PROTECTED]   2008-04-22 04:15:38 

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