Question

Merits and demerits of mean deviation in statistics

Answer 1

Answer:

Merits  -

It is simple to understand.

It is easy to calculate.

It is based on all the observations of a series.

It is not very much affected by the values of extreme items of a series.

Demerits -

It is not rigidly defined in the sense that it is computed from any central value viz. Mean, Median, Mode etc. and thereby it can produce different results.

It is affected much by the fluctuations in sampling.

It is difficult to calculate when the actual value of an average comes out in fraction, or recurring figure for that in such a case it requires the use of the shortcut method which involves a cumbersome formula subject to adjustment in different cases.

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Answer 2

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MEAN DEVIATION

MD$\overline{ₓ}$ = ∑(X - $\overline{X}$ )/N

MD = ∑ ( d - M )/N

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• Depends upon all the values of the series.

• Less effect of extreme values on it.  

• Mean deviation can easily be calculated.

• It is easy to understand.

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• Ignores algebraic sign.

• Algebraic testing is not possible.

• It is not so dependable because in case of uncertainly in mode, deviation calculations are unsuitable.