J & K CET Engineering J and K - CET Engineering Solved Paper-2013

  • question_answer
    An analysis of the weekly wages paid to workers in two firms A and B, belonging to the same industry gives the following results
    Firm A Firm B
    Number of wage earners            \[586\] \[648\]
    Average of weekly wages Rs. \[52.5\] Rs. \[47.5\]
    Variance of the distribution of wages   \[100\] \[121\]
    Then, which firm pays out larger amount and which shows greater variability, respectively?

    A)  \[A,\,B\]    

    B)  \[B,\,A\]    

    C)  \[B,\,B\]    

    D)  \[A,\,A\]

    Correct Answer: C

    Solution :

    \[{{\sigma }_{1}}=\sqrt{100}=10\] and \[{{\sigma }_{2}}=\sqrt{121}=11\] \[C{{V}_{1}}=\frac{{{\sigma }_{1}}}{{{x}_{1}}}\times 100\] \[=\frac{10}{52.5}\times 100=19.05\] \[C{{V}_{2}}=\frac{11}{47.5}\times 100=23.16\] Hence, firm B shows greater variability and pays larger amount.


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