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BCECE Engineering BCECE Engineering Solved Paper-2010

  • question_answer
    The sum of square of deviations for 10 observations taken from mean 50 is 250. The coefficient of variation is

    A)  10                         

    B)         20                         

    C)         30                         

    D)         40

    Correct Answer: A

    Solution :

    We know the formula \[{{\sigma }^{2}}=\frac{\sum {{(x-x)}^{2}}}{n}\]                 \[\Rightarrow \]               \[{{\sigma }^{2}}=\frac{250}{10}\]                 \[\Rightarrow \]                               \[\sigma =5\] \[\therefore \] Coefficient of variation \[CV=\frac{\sigma }{x}\times 100\]                 \[\Rightarrow \]               \[CV=\frac{5}{50}\times 100\]                 \[\Rightarrow \]               \[CV=10\]


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