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JEE Main & Advanced Mathematics Statistics Question Bank Measures of dispersion

  • question_answer
    The sum of squares of deviations for 10 observations taken from mean 50 is 250. The co-efficient of variation is [DCE 1996]

    A)                 50%        

    B)                 10%        

    C)                 40%        

    D)                 None of these

    Correct Answer: B

    Solution :

                       \[\text{S}\text{.D}\text{.}\]\[(\sigma )=\sqrt{\frac{250}{10}}=\sqrt{25}=5\]            Hence, coefficient of variation \[=\frac{\sigma }{\text{mean}}\times 100\]                                                                                       \[=\frac{5}{50}\times 100=10\]%.


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