Question

if relative error is = 0.5 and absolute error is = 20, find out the actual value

Answer 1

Final Answer :40

Relative Error :
Ratio of the Mean absolute error and arithmetic mean.
Here, arithmetic mean is same as actual value since there is only one value.

Relative Error = 0.5
Absolute error = 20
Relative Error = Absolute error / Actual value
=> 0.5 = 20/AV
=> AV = 40
Actual Value is 40.

Answer 2

Given conditions ⇒
Relative Error = 0.5
Absolute Error = 20

Since, there is only one variable for the measurement, therefore, Absolute Arithmetic mean and the Arithmetic mean will be equal to absolute error (=20) and Actual value respectively.

∴ Absolute Arithmetic Mean = 20


Now, Using the Formula,

Relative Error = Arithmetic Absolute Error/Arithmetic Mean (or Actual Value)
∴ Actual Value = Absolute Error/Relative Error
∴ Actual value = 20/0.5
∴ Actual Value = 20 × 2
∴ Actual Value = 40


Hence, the Actual Value is 40.


Hope it helps.