My Math Forum Scaling positive and negative numbers

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 January 27th, 2018, 09:53 AM #1 Newbie   Joined: Jan 2018 From: London Posts: 1 Thanks: 0 Scaling positive and negative numbers Help. I having a set of numbers 35,-32, 3 which total to 6. I want to scale these numbers to total 25. If I use standard weights then scale of the numbers magnifies significantly which is not realistic. (35/6) = 583% - multiple by 25 = 145.833 (-32/6) = -533% - multiple by 25 = -133.33 (3/6) = 50% - multiple by 25 = 12.5 The sum of these number (145.8-133.33+12.5) = 25 - but the magnification of the numbers is unrealistic and needs smoothing. I don't want to use absolute values or squared values as this loses the negative - and I need this represented in the output scale. Any thoughts greatly appreciated. Last edited by skipjack; January 27th, 2018 at 10:26 AM.
 January 27th, 2018, 10:19 AM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 1,755 Thanks: 900 suppose we say we want the sum of the magnitudes to equal 25. $35 + 32 + 3 = 70$ $\alpha = \dfrac{25}{70}$ $x \to \alpha x$ $35 \to \dfrac {25}{2} = 12.5$ $-32 \to -\dfrac{80}{7} \approx -11.43$ $3 \to \dfrac{75}{70} \approx 1.07$ is this more to your liking?
January 27th, 2018, 10:27 AM   #3
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Quote:
 Originally Posted by Andrew C I want to scale these numbers to total 25.
Can you explain why?

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