- #1

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- 1

The first step is to ask how one would define the percentage difference between two numbers?

I would define it as:

[(larger number – smaller number)/ (|the number midway between the two numbers|)] * 100

I think this way is better compared with other ways such as

1. [(larger number – smaller number)/(|smaller number|)] *100

or

2. [(larger number – smaller number)/(|larger number|)] * 100

Mainly because my way allows one to get the same percentage difference between for example, (4,6) and (-4,-6). While the other two ways does not.

Using 1.

(6 – 4)/4 = 50%

(-4 – -6)/|-6| = 33%

Using 2.

(6 – 4)/6 = 33%

(-4 – -6)/|-4| = 50%

Preferred Method.

(6 – 4)/5 = 40%

(-4 – -6)/|-5| = 40%

Do you have any other suggestions?

Thanks