7th Class Mental Ability Data Handling Question Bank Data Handling

  • question_answer
    The median of the following observations arranged in ascending order is 24. Find x 11, 12, 14, 18, x + 2, x + 4, 30, 32, 35 and 41.

    A) 11                    

    B)   20          

    C) 21          

    D)               22

    E) None of these

    Correct Answer: C

    Solution :

    Explanation No. of observations, \[\operatorname{n} = 10\] \[\therefore \,\,Median=\frac{{{\left( \frac{10}{2} \right)}^{th}}observation\,+\,{{\left( \frac{10}{2}+1 \right)}^{th}}observation}{{}}\]\[\Rightarrow \,\,\,24=\frac{x+2+x+4}{2}\,\,\,\,\,\Rightarrow \,\,x=21\] 


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