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January 27th, 2018, 08:53 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 (145.8133.33+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 09:26 AM. 
January 27th, 2018, 09:19 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,529 Thanks: 1389 
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, 09:27 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,917 Thanks: 2200  

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negative, numbers, positive, scaling 
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