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Organisation Of Data

Question
CBSEENST11023936

Differentiate between absolute errors and relative errors.

Solution

bsolute errors : Absolute error is the difference between the true and estimated value.

Absolute error = actual value – estimated value

Relative errors : It is the ratio of absolute error to the estimated value. It is found out by dividing the absolute error by the estimated error.

Relative error

= Actual value - Estimated value
             Estimated error

Example : If the actual value is 400 and estimated value is 350. Find absolute and relative errors.

Solution : Here the actual value is 400 and estimated value is 350.

Absolute error = actual error – estimated value.

= 400 – 350 = 50

Relative error = 50 / 350 = 0.14

The relative error can also be expressed as percentage of 100.