Finding average of denominator knowing average of numerator and average of fraction Good day to you

April Bush 2022-06-25 Answered
Finding average of denominator knowing average of numerator and average of fraction
Good day to you all. I have a little problem I have been banging my head on for a while.
I have come to think that it is impossible, but I hope you can save me.
I have a fraction, n u m i d e n i ., which takes different values over time.
The objective is to calculate a v e r a g e ( n u m i ) a v e r a g e ( d e n i )
I have at my disposal a v e r a g e ( n u m i d e n i ) and a v e r a g e ( n u m i )
Is there any way to do this, or do I need to get a v e r a g e ( d e n i ) also?
Thanks a lot for your help.
Edit with an example
Let's take 1 2 , 1 3 , 1 4
The information at my disposal is:
The average of numerators is 1.
The average of fractions is 0.36
Is it possible with the information I have to retrieve the average of denominators?
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Answers (2)

robegarj
Answered 2022-06-26 Author has 24 answers
No, consider the example:
A = { 1 2 , 1 3 , 1 6 }
B = { 1 2 , 1 4 , 1 4 }
We have the numerator average 1 and fraction average 1 3 for both cases yet average for denomiators are not the same.

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kixEffinsoj
Answered 2022-06-27 Author has 3 answers
This is impossible.
First case, consider the series 1 2 , 2 6 .
Then, a v g ( n u m ) = 3 2 , a v g ( d e n ) = 4 , a v g ( n u m / d e n ) = 5 12 and a v g ( n u m ) / a v g ( d e n ) = 3 8
Second case, consider the series 2 4 , 1 3
Then, a v g ( n u m ) = 3 2 , a v g ( d e n ) = 7 2 , a v g ( n u m / d e n ) = 5 12 and a v g ( n u m ) / a v g ( d e n ) = 3 7
In both cases your two givens are the same, but the answer is different. Therefore you cannot find the answer from the givens.
Edit: I see you got another answer that was both faster and better. Well done.

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