My Math Forum Give more weighting to one percentage than the other

 Probability and Statistics Basic Probability and Statistics Math Forum

 November 17th, 2014, 06:36 AM #1 Newbie   Joined: Nov 2014 From: leeds Posts: 2 Thanks: 0 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
 November 17th, 2014, 01:05 PM #2 Global Moderator   Joined: May 2007 Posts: 6,820 Thanks: 722 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.
 November 17th, 2014, 09:33 PM #3 Newbie     Joined: Oct 2014 From: Australia Posts: 27 Thanks: 10 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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