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JEE Main & Advanced Mathematics Statistics Question Bank Mock Test - Statistics

  • question_answer
    Following are the marks obtained by 9 students in a mathematics test: 50, 69, 20, 33, 39, 40, 65, 59 the mean deviation from the median is

    A) 9                     

    B) 10.5

    C) 12.67

    D) 14.76

    Correct Answer: C

    Solution :

    [c] Marks obtained by 9 students in Mathematics are: 50, 69, 20, 33, 53, 39, 40, 65, 59 Let us rewrite the given data in ascending order. 20, 33, 39, 40, 50, 53, 59, 65, 69, Here, n = 9 Median \[({{M}_{e}})\]= 5th term=50
    \[{{x}_{i}}\] \[{{d}_{i}}=\left| {{x}_{i}}-{{M}_{e}} \right|\]
    20 30
    33 17
    39 11
    40 10
    50 0
    53 3
    59 9
    65 15
    69 19
    N=2 \[\Sigma \,{{d}_{1}}=114\]
    \[M.D.=\frac{114}{9}=12.67\]  


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