Relative and absolute error calculator
Calculator finds out absolute or relative error basing on measured (calculated) and reference (ideal) value.

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This online calculator is currently under heavy development. It may or it may NOT work correctly.
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However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
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Some facts

  • Absolute error is the absolute value of the difference between measured value (calculated, approximate etc.) and reference value (ideal, theoretical etc.):
    Δx=xx0\Delta x = |x-x_0|
    where:
    • Δx\Delta x - absolute error,
    • xx - measured, calculated or approximate value of variable xx,
    • x0x_0 - the reference value against which we calculate the error.
  • Relative error determines the size of the error made presented as part of the reference value:
    δxwzgl.=xx0x0\delta x_{wzgl.} = \left|\frac{x-x_0}{x_0}\right|
    where:
    • δxrel.\delta x_{rel.} - error expressed as a part of the reference value,
    • xx - measured, calculated or approximate value of variable xx,
    • x0x_0 - the reference value against which we calculate the error.
  • When we determine the error, we are generally not trying to find out whether the value obtained is too large or too small, but only how big the error is. This is the reason why error formula has the absolute value form.
  • In the case of values with units (e.g. length measured in meters), the absolute error has the same units as the measured one. For example, an absolute error of length value is also the length.
  • Relative error has no units, no metter what do we measure. Relative error is often presented as percent.

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