Question

define absolute error, relative error, and percentage error​

Answer 1

Answer:

Absolute error:- The difference between the measured or inferred value of a quantity and its actual value , given by. (sometimes with the absolute value taken) is called the absolute error. The absolute error of the sum or difference of a number of quantities is less than or equal to the sum of their absolute errors

Relative error:- 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. or approximations are used instead of the real data. 

Percentage error:- 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. or approximations are used instead of the real data. 

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Answer 2

Answer:

Absolute error is a measure of how far 'off' a measurement is from a true value or an indication of the uncertainty in a measurement. For example, if you measure the width of a book using a ruler with millimeter marks, the best you can do is measure the width of the book to the nearest millimeter. You measure the book and find it to be 75 mm.

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Relative error expresses how large the absolute error is compared with the total size of the object you are measuring. Relative error is expressed as a fraction or is multiplied by 100 and expressed as a percent. Relative Error = Absolute Error / Known Value.

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Percent error (percentage error) is the difference between an experimental and theoretical value, divided by the theoretical value, multiplied by 100 to give a percent. In some fields, percent error is always expressed as a positive number.

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Explanation:

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