Explain the following terms with respect to precise measurement : i. Absolute deviation ii. Mean absolute deviation iii. Relative deviation

Question

Explain the following terms with respect to precise measurement : i. Absolute deviation ii. Mean absolute deviation iii. Relative deviation

Explain the following terms with respect to precise measurement :

i. Absolute deviation

ii. Mean absolute deviation

iii. Relative deviation

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Salim Ahmed Kawsar · Answer 1 · Feb 05, 2023 15:29:48

i. Absolute deviation :

An absolute deviation is the modulus of the difference between an observed value and the arithmetic mean for the set of several measurements made in the same way. It is a measure of absolute error in the repeated observation.

It is expressed as follows :

Absolute deviation = |Observed value – Mean|

ii. Mean absolute deviation :

Arithmetic mean of all the absolute deviations is called the mean absolute deviation in the measurements

iii. Relative deviation :

The ratio of mean absolute deviation to its arithmetic mean is called relative deviation.

It is expressed as follows :

Relative deviation = \(\frac{Mean\,absolute\,deviation}{Mean}\) x 100%

Explain the following terms with respect to precise measurement : i. Absolute deviation ii. Mean absolute deviation iii. Relative deviation

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