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Reversing averages 
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#1
Feb2013, 08:12 PM

P: 4

Hello!
I was wondering if anyone had an effective way of extracting information from an average. I have a list of averages, they're acquired from inputs from 1  5, ..and I can see the amount of inputs used to get the average. An example would be 60 inputs within the range 1  5 Average = 2.88 Is there a way to extract how many 1's 2's 3's 4's and 5's were used to get the average from this information? Thanks in advance! 


#2
Feb2013, 08:29 PM

P: 772

No. There are many combinations of numbers that produce the same average.



#3
Feb2013, 08:32 PM

P: 4




#4
Feb2013, 09:16 PM

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P: 21,216

Reversing averages
When you take the average (mean) of a set of numbers, you lose detail about the numbers. Suppose you have a very simple set of numbers: {1, 2, 3}. The mean of this set of numbers is 2. This set, {1.1, 2, 2.9} also has a mean of 2, as does {1.01, 2, 2.99}. Any set of three numbers that add up to 6 would have a mean of 2. 


#5
Feb2013, 09:25 PM

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#6
Feb2013, 09:37 PM

Sci Advisor
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P: 3,164

http://en.wikipedia.org/wiki/Partiti...mber_theory%29 


#7
Feb2013, 09:40 PM

P: 4




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