Measures of Dispersion- Mean Deviation

Statistics>> Mean Deviation

Mean Deviation of a set of values is the AM of absolute deviations when deviations are taken from an average A. (usually mean, median or mode)

Ungrouped data:[f x₁, x₂........x_nare the values of a variable then

MD = 1/n Σ |X_i-A|

Grouped data:If x₁, x₂, .......... x_nare the values of a variable with frequencies f₁, f₂, .............f_nthen

MD = 1/N Σ f_i|X_i-A|

where A may be mean or median or mode:

co-efficient of MD = MD/A

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