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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 20

  • question_answer
    The following data give the distribution of heights of students:
    Height (in cm) 160 150 152 161 156 154 155
    Number of students 12 8 4 4 3 3 7
    The median of the distribution is

    A) \[154\]             

    B)               \[155\] 

    C)   \[160\]                         

    D)   \[161\]

    Correct Answer: B

    Solution :

    Arranging the data in ascending order of magnitude, we obtain
    Height (in cm) 150 152 154 155 156 160 161
    Number of student 8 4 3 7 3 12 4
    Cumulative frequency 8 12 15 22 25 37 41
    Here, the total number of items is 41, i.e., an odd number. Hence, the median is \[\frac{41+1}{2}th\] i.e., 21st item. From cumulative frequency table, we find that the median, i.e. 21 st item is 155. (All items from 16th to 22nd are equal, each 155).


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