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November 17th, 2014, 06:36 AM   #1
Joined: Nov 2014
From: leeds

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Give more weighting to one percentage than the other

Hi Everyone,

First of all apologise if this is in the wrong section, I wasn't sure where it should go.

I have 2 percentages and am finding the average of the 2 by multiplying them together like in the example below:

first percentage: 125%
second percentage: 75%

1.25 * 0.75 = 93.75%

My question is, is it possible to be able to give one percentage more of a weighting than the other number? So for example, I could say I trust the second figure more so give the second figure a certain amount more weighting in the calculation than the first number?

Thanks ... I'm putting this in just because it looks funny
rash799 is offline  
November 17th, 2014, 01:05 PM   #2
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The average of two numbers is the sum divided by 2. If you think one is better you can give it a weight w > 1/2 and give the other a weight 1-w.
mathman is offline  
November 17th, 2014, 09:33 PM   #3
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To find the average it's $\displaystyle \frac{a+b}{2}$ , which can be written as $\displaystyle \frac{a}{2} + \frac{b}{2}$

If you want to weight one more than the other, then change the fractions. For example, if you trusted a about twice as much as b, you could find it with $\displaystyle \frac{2}{3}a + \frac{b}{3}$
Just make sure that the fractions add up to 1.
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