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    If 25% of items are less than 20 and 25% are more than 40, the quartile deviation is:
    Question

    If 25% of items are less than 20 and 25% are more than 40, the quartile deviation is:

    A.

    ​​​2020​​

    B.

    ​​​3030​​

    C.

    4040​​

    D.

    ​​​​​​​​​​​​​​​​​​​​​1010​​

    Correct option is D

    Given:
    25% of items are less than 20
    25% of items are more than 40
    Formula used:
    Quartile deviation = Q3Q12\frac{Q_3 - Q_1}{2}​​
    Solution:
    Since 25% of items are less than 20,
    Q1=20Q_1 = 20​​
    Since 25% of items are more than 40,
    Q3=40Q_3 = 40​​
    Quartile deviation
    =40202=202=10= \frac{40 - 20}{2}= \frac{20}{2}= 10​​
    The correct answer is (d) 10.

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