9th Class Mathematics Statistics Question Bank Statistics

  • question_answer
    The median of given observations arranged in ascending order is 25. Find p,

    A)  22                              

    B)  24                  

    C)  21                  

    D)    26

    Correct Answer: A

    Solution :

    Given: No. of observations = 10 (even) Median = 25 We know that, for \[n=10\](even) Median = value of \[\frac{1}{2}\left[ {{\left( \frac{n}{2} \right)}^{th}}\text{item}+{{\left( \frac{n}{2}+1 \right)}^{th}}\text{item} \right]\] \[25=\,\text{Value}\,\text{of}\,\frac{1}{2}\left[ {{\left( \frac{10}{2} \right)}^{\text{th}}}\text{item}+{{\left( \frac{10}{2}+1 \right)}^{\text{th}}}\text{item} \right]\] \[25=V\text{alue}\,\text{of}\frac{1}{2}\left[ {{5}^{\text{th}}}\text{item+}\,{{\text{6}}^{\text{th}}}\text{item} \right]\] \[25=\frac{1}{2}\left[ x+2+x+4 \right]\Rightarrow x=22\]


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