Coupon Accepted Successfully!


Absolute Error, Relative Errors and Percentage Errors

Absolute Error
The magnitude of the difference of true value and the measured value is called absolute error.

Thus, absolute error = true value – measured value

If we regard arithmetic mean as the true value, than absolute error in the i th measurements is given by
Δ ai =

It is expressed in the units of measured value. The final absolute error is taken as the arithmetic mean of the absolute errors in various measurements. Thus,
Δ =
or Δ =


If we take a single measurement, then the result of measurement will lie between
and .


Relative and Percentage Errors
The knowledge of relative error is more important than the absolute error in a measurement.
  1. The relative error is defined as the ratio of the absolute error to the true value.
    Thus, the relative error is given by
    δa = ,
    Where (arithmetical mean) has been taken as the true value.
    The percentage error is given by
  2. Percentage error =
    × 100

Test Your Skills Now!
Take a Quiz now
Reviewer Name