JEE Main & Advanced Mathematics Statistics Question Bank Median and Mode

  • question_answer
    The upper quartile for the following distribution
    Size of items 1 2 3 4 5 6 7
    Frequency 2 4 5 8 7 3 2
                    is given by the size of

    A)                 \[\left( \frac{31+1}{4} \right)\]th item

    B)                 \[\left[ 2\left( \frac{31+1}{4} \right) \right]\]th item         

    C)                 \[\left[ 3\left( \frac{31+1}{4} \right) \right]\]th item          

    D)                  \[\left[ 4\left( \frac{31+1}{4} \right) \right]\]th item

    Correct Answer: C

    Solution :

                       Upper Quartile = Size of \[{{\left[ 3\frac{(n+1)}{4} \right]}^{th}}\]item                         = Size of \[{{\left[ 3\left( \frac{31+1}{4} \right) \right]}^{th}}\]item, \[[\because \Sigma f=31]\].


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