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Information about errors

Published on January 31, 2009

Author: sheikmohamed


Slide 1: ABSOLUTE ERROR, RELATIVE ERROR AND PERCENTAGE ERROR : (i) Absolute error : It is the magnitude of the difference between the true value and the measured value of the quantity. Let a physical quantity be measured n times. Let the measured values be x1,x2,x3…..xn. The arithmetic mean of these values is xm = or xm = Slide 3: Mean absolute : It is the arithmetic mean of the magnitudes of absolute errors in all the measurements of the quantity. It is represented by Thus = = Hence the final result of measurement may be written as a = am ± Relative Error or Fractional Error : The relative error or fractional error of measurement is defined as the ratio of mean absolute error to the mean value of the quantity measured. Thus Relative error of fractional error = When the relative/fractional error is expressed in percentage, it is called as percentage error. Hence Percentage error = × 100 % Relative Error or Fractional Error

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