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

Beta version

BETA TEST VERSION OF THIS ITEM
This online calculator is currently under heavy development. It may or it may NOT work correctly.
You CAN try to use it. You CAN even get the proper results.
However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
Feel free to send any ideas and comments !

What do you want to calculate today?

Choose a scenario that best fits your needs

Calculations data - enter values, that you know here

Absolute error (Δx\Delta x)
=>
Relative error (δxrel.\delta x_{rel.})
=>
Measured value (x)
<=
Reference values (x0x_0)
<=

Result: absolute error (Δx\Delta x)

Summary
Used formulaShow sourceΔx=xx0 \Delta x=\left| x- x_0\right|
ResultShow source0.0015930.001593
Numerical resultShow source0.0015930.001593
Result step by step
1Show source3.143.141592653589793\left|3.14 - 3.141592653589793\right|Simplify arithmetic
2Show source0.001593\left|-0.001593\right|Absolute value
3Show source0.0015930.001593Result
Numerical result step by step
1Show source0.0015930.001593Result

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|\dfrac{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.

Tags and links to this website

What tags this calculator has

Permalink

This is permalink. Permalink is the link containing your input data. Just copy it and share your work with friends:

Links to external sites (leaving Calculla?)

JavaScript failed !
So this is static version of this website.
This website works a lot better in JavaScript enabled browser.
Please enable JavaScript.