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10th Class Mathematics Statistics Question Bank Statistics and Probability

  • question_answer
    If the standard deviation of 5, 7, 9 and 11 is 2, then coefficient of variation is

    A)  15

    B)  25  

    C)  17

    D)  19

    Correct Answer: B

    Solution :

     Coefficient of variation \[=\frac{\text{Standard deviation}}{arithmetic\,mean}\times 100\]                 But arithmetic mean of the given numbers                                 \[=\frac{5+7+9+11}{4}=8\]                 \[\therefore \]   Coefficient of variation \[=\frac{2\times 100}{8}=25\]


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