explain absolute error
Answers
Answer:
The approximation error in some data is the discrepancy between an exact value and some approximation to it. An approximation error can occur because: the measurement of the data is not precise due to the instruments.
Explanation:
Absolute error is the difference between measured or inferred value and the actual value of a quantity. The absolute error is inadequate due to the fact that it does not give any details regarding the importance of the error. While measuring distances between cities kilometers apart, an error of a few centimeters is negligible and is irrelevant. Consider another case where an error of centimeters when measuring small machine parts is a very significant error. Both the errors are in the order of centimeters but the second error is more severe than the first one.
For example, 24.13 is the actual value of a quantity and 25.09 is the measure or inferred value, then the absolute error will be:
Absolute Error = 25.09 – 24.13= 0.86
Most of the time it is sufficient to record only two decimal digits of the absolute error. Thus, it is sufficient to state that the absolute error of the approximation 4.55 to the correct value 4.538395 is 0.012.