What are percentage errors
Absolute, relative and percentage errors
This post explains the terms using a simple example absolute, relative and percentage errors.
The difference between an approximate value (or measured value) and the actual value of a quantity is called absolute mistake.
Instead of the exact solution x = 1/3 of the equation 3x = 1, a student gives x = 0.33.
He makes an absolute mistake in doing this
0,33 – 1/3 = 99/300 – 100/300 = -1/300 = -0,00333…
An absolute error is of the same dimension as the size under consideration, i.e. it can be with a unit (such as euros, kilograms or meters).
The Quotient from absolute error and actual value is called relative error.
We do that example away from above. There is a relative error of
-1/300 : 1/3 = -1/300 * 3/1 = -1/100 = -0,01
The relative error is always a number without unity and with that same sign like the corresponding absolute error.
The percentage errors is exactly the relative error - just as Percentage specified.
The relative error of -0.01 im example above therefore corresponds to a percentage error of -1%.
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