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January 27th, 2018, 08:53 AM   #1
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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 09:26 AM.
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January 27th, 2018, 09:19 AM   #2
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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?
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January 27th, 2018, 09:27 AM   #3
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Quote:
Originally Posted by Andrew C View Post
I want to scale these numbers to total 25.
Can you explain why?
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