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Question

Standard deviation about mean (¯x) for a given discrete frequency distribution x1,x2,x3,.....xn with frequencies f1,f2,f3,...fn is


A


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B


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C


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D

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Solution

The correct option is B



We know variance for a discrete frequency distribution can be calculated as follows,

σ2 = ni=1fi(xi¯x)2ni=1fi


This can be understood from normal variance calculation as each value xi occurs fi time total number of observations is ni=1fi and each deviation should be added fi times.

ni=1fi(xi¯x)2

Standard deviation = σ=ni=1fi(xi¯x)2ni=1fi


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