JEE Main & Advanced Mathematics Statistics Question Bank Self Evaluation Test - Statistics

  • question_answer
    An incomplete frequency distribution is given below
    Variate Frequency
    10-20 20-30 30-40 40-50 50-60 60-70 70-80 12 30 ? 65 45 25 18
    Total 229
    Median value is 46, the missing frequency is

    A) 33.5

    B) 35

    C) 34

    D) 26

    Correct Answer: C

    Solution :

    [c] Median = 46 which lies in 40-50 class Median \[=l+h\frac{\left\{ \frac{n}{2}-{{C}_{f}} \right\}}{f}\] Where f= frequency of median - class \[{{C}_{f=}}\] Cumulative frequency of the class preceding the median class. \[\therefore 46=40+10\frac{\left[ \frac{229}{2}-(x+42) \right]}{65}\] Where x = frequency of class 30-40 \[\Rightarrow x=33.5=34.\]


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