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JEE Main & Advanced Mathematics Statistics Question Bank Measures of dispersion

  • question_answer
    If 25% of the item are less than 20 and 25% are more than 40, the quartile deviation is

    A)                 20           

    B)                 30

    C)                 40           

    D)                 10

    Correct Answer: D

    Solution :

                       Here, we are given that the lower quartile \[{{Q}_{1}}=20\] and the upper quartile \[{{Q}_{3}}=40\]                                                 Hence quartile deviation \[\frac{{{Q}_{3}}-{{Q}_{1}}}{2}=\frac{40-20}{2}=\frac{20}{2}=10\].


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