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Absolute percent error

Updated: 11/9/2022
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15y ago

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Absolute percent error is the Percent Difference between two values.

Applying the equation for Absolute error.

For example: 21.571 is the True value 20.000 is the Recorded Value.

Thus: (Recorded Value) - (True value) = Absolute error (21.571) - (20.000) = 1.571

We modify this to match the following:

(Recorded Value ) - (True value) / True value * 100

This will give us a percent error of:

(20.000 - 21.571) / 21.571 *100 = -7.28%

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What is mean absolute percentage error?

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What is the reason for percent error?

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Can percent error be negative?

Sometimes you will take the absolute value of the percent error because your estimated number could be less than the theoretical, meaning the calculation is negative. But an absolute value is always positive. A percent error can be left as a negative though, and this would be perfectly acceptable (or even preferred) depending on what you're doing.Answer:In the sciences, a negative percent error indicates a low result. If you have a 0% error, then your observed (lab) result was exactly the same as the theoretical result. A 5% error could mean that your observed result was a little high. A negative percent error is possible; if your observed results were lower than the expected, then you would have a negative percent error. A -5% error could mean that your results were a little low. Having a negative percent error isn't worse than positive percent error -- it could mean the same thing. If you were to have a choice in having a 20% error and a -5% error, the negative percent error is more accurate.


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How do you get percent error?

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