Define absolute, relative and percentage errors with examples.
Answers
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The answer is :-
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➡ In words, the Absolute Error is the magnitude of the difference between the exact value and the approximation.
➡The Relative Error is the absolute error divided by the magnitude of the exact value.
➡ The Percent Error is the relative error expressed in terms of per 100.
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Answer:
absolute error is expressed as the difference between the expected and actual values. Absolute Error = Actual Value - Measured Value. For example, if you know a procedure is supposed to yield 1.0 liters of solution and you obtain 0.9 liters of solution, your absolute error is 1.0 - 0.9 = 0.1 liters
Relative error is a measure of the uncertainty of measurement compared to the size of the measurement. It's used to put error into perspective. For example, an error of 1 cm would be a lot if the total length is 15 cm, but insignificant if the length was 5 km.
Percentage error is the difference between the estimated number and the actual number when compared to the actual number expressed in percent format. The formula looks like this:
formula
In other words, you take the difference between the real answer and the guessed answer, divide it by the real answer, and then turn it into a percent.
For example, let's say you guessed that there were 230 gumballs i
percentage error = estimated number - actual number / actual number x 100%
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