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Question

With mean as the base, calculate the mean deviation and compare the variability of the two series A and B.

Series A10121620252730Series B10202225273140

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Solution

Series ADeviations from MeanSeries BDeviations from MeanXAXA¯¯¯¯¯XAXBXB¯¯¯¯¯XB|D||D|1010101512820516422320025025527227731630104015XA=140|D|=44XB=175|D|=46

Series A:-

Mean =¯¯¯¯¯XA=XAN=1407=20

Mean Deviation (Series A) = |D|N=447=6.28

Coefficient of M.D (Series A) = M.D¯¯¯¯XA=6.2820=0.31

Series B:-

Mean =¯¯¯¯¯XB=XBN=1757=25

Mean Deviation (Series B) = |D|N=467=6.57

Coefficient of M.D (Series B) = M.D¯¯¯¯XB=6.5725=0.26

Since coefficient of mean deviation for series A is more than that of series B, we can say that series A has greater variability as compared to series B.


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