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

  • question_answer
    The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 from the mean is

    A) 2                     

    B) 2.57

    C) 3                     

    D) 3.75

    Correct Answer: B

    Solution :

    [b] Given, observations are 3, 10, 10, 4, 7, 10 and 5. \[\therefore \bar{x}=\frac{3+10+10+4+7+10+5}{7}=\frac{49}{7}=7\]
    \[{{x}_{i}}\] \[{{d}_{i}}=\left| {{x}_{i}}-\bar{x} \right|\]
    3 4
    10 3
    10 3
    4 3
    7 0
    10 3
    5 3
    Total \[\Sigma \,{{d}_{i}}=18\]
    Now, M.D.\[=\frac{\Sigma {{d}_{i}}}{N}=\frac{18}{7}=2.57\]


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