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10th Class Mathematics Statistics Question Bank Statistics

  • question_answer
    Given that \[{{a}_{5}}+1={{a}_{6}}\] and median of \[{{a}_{1}},{{a}_{2}},{{a}_{3}},{{a}_{4}},{{a}_{5}},{{a}_{6}},{{a}_{7}},{{a}_{8}},{{a}_{9}},{{a}_{10}}\] is m, then find the median of the data \[{{a}_{3}},{{a}_{4}},{{a}_{5}},{{a}_{6}},{{a}_{7}},\] (where \[{{a}_{1}},{{a}_{2}},{{a}_{3}},{{a}_{4}},{{a}_{5}},{{a}_{6}},{{a}_{7}},{{a}_{8}},{{a}_{9}},{{a}_{10}}\] are arranged in ascending order).

    A)  \[m\]                           

    B)  \[\frac{m}{2}\]

    C)  \[\frac{2m-1}{2}\]        

    D)  None of these

    Correct Answer: C

    Solution :

    (c): If the number of observations is even, then the median of the data is the average of \[\left( \frac{n}{2} \right)th\]and \[\left( \frac{n}{2}+1 \right)th\]observations.      


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