Error Analysis Absolute Error

Absolute errorsThe magnitude of the difference between the true value of the quantity measured and the individual measured value is called absolute error.If a1, a2 a3…….an be the n measured values of a physical quantity, then the true value will be their arithmetic mean i.e.And the absolute errors in each measurement is given by∆a1 = am – a1, ∆a2 = am – a2, ∆a3 = am – a3,………………… ∆an = am – anMean absolute errorThe arithmetic mean of the positive magnitudes of all the absolute errors is called mean absolute error. i.e. Thus the final result of the measurement of a physical quantity can be expressed as a = am ± ∆am. Relative errorThe ratio of the mean absolute error to the true value of the measured quantity is called as relative error.Thus, Percentage errorThe relative error expressed in percent is called as the percentage error.Thus,