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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    Two numbers within the brackets denote the ranks of 10 students of a class in two subjects\[(1,10),(2,9),(3,8),(4,7),(5,6),(6,5)(7,4),(8,3)\]\[(9,2),(10,1),\]then rank correlation coefficient is:

    A)  \[0\]                    

    B)         \[-1\]

    C)  \[1\]                    

    D)         \[0.5\]

    E)  \[-0.5\]

    Correct Answer: B

    Solution :

    \[x\] \[y\] \[D\] \[{{D}^{2}}\]
    1 10 \[-9\] 81
    2 9 \[-7\] 49
    3 8 \[-5\] 25
    4 7 \[-3\] 9
    5 6 \[-1\] 1
    6 5 1 1
    7 4 3 9
    8 3 5 25
    9 2 7 49
    10 1 9 81
    \[\Sigma {{D}^{2}}=330\]
    \[\therefore \]Rank correlation coefficient,                 \[r=1-\frac{6\times 330}{10\times 39}\]                 \[=1-2=-1\]


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