9th Class Mathematics Statistics Question Bank Statistics

  • question_answer
    Find the median of the data given.

    A)  0                    

    B)    -1.5                

    C)  2                    

    D)    3.5                 

    Correct Answer: D

    Solution :

    Given data \[=0,2,2,2-3,5-1,5,5-3,6,6,5,6\] Their ascending order is \[-3,-3,-1,0,2,2,2,5,5,5,5,6,6,6.\] No. of observations =14 For \[n=14\](even) Median = value of \[\frac{1}{2}\left[ {{\left( \frac{n}{2} \right)}^{\text{th}}}\text{item+}{{\left( \frac{n}{2}+1 \right)}^{\text{th}}} \right]\] \[\Rightarrow \]Value of \[\frac{1}{2}\left[ {{7}^{\text{th}}}\text{item+}{{\text{8}}^{\text{th}}}\text{item} \right]\] \[\Rightarrow \]\[\text{Median}=\frac{1}{2}[2+5]=\frac{7}{2}=3.5\] \[\therefore \]The required median is 3.5.


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