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Question

Calculate coefficient of variation of the following series:

S. No12345678910Frequency53582530544232484652


Solution

S.NoMarks (X)Deviation from meanSquare of deviations(x=X¯X) where ¯X=44(X¯X)2 or x2153981258141963251936143014196554101006422473212144848416946241052864N=10X=440x2=1166

¯X=XN=44010=4.4

σx=x2N=116610=116.6=10.8

C.V=σx¯X×100=10.844×100=24.54

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