JEE Main & Advanced Mathematics Statistics Question Bank Measures of dispersion

  • question_answer
    The quartile deviation of daily wages (in Rs.) of 7 persons given below 12, 7, 15, 10, 17, 19, 25 is [Pb. CET 1991, 96; Kurukshetra CEE 1997]

    A)                 14.5       

    B)                 5

    C)                 9             

    D)                 4.5

    Correct Answer: D

    Solution :

                       The given data in ascending order of magnitude is 7, 10, 12, 15, 17, 19, 25       Here \[{{Q}_{1}}=\text{size of }{{\left( \frac{n+1}{4} \right)}^{th}}\] item = size of 2nd item = 10       \[{{Q}_{3}}=\text{size of }{{\left( \frac{3(n+1)}{4} \right)}^{th}}\] item = size of 6th item = 19             Then Q.D.\[=\frac{{{Q}_{3}}-{{Q}_{1}}}{2}=\frac{19-10}{2}=4.5\].


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