2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Statistics

JEE Main & Advanced Mathematics Statistics Question Bank Critical Thinking

  • question_answer
    The following data gives the distribution of height 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                        [AMU 1994]

    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 students 8 4 3 7 3 12 4
    Cumulative frequency 8 12 15 22 25 37 41
                Here, 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 median             i.e., 21st item is 155,                (All items from 16 to 22nd are equal, each 155).


You need to login to perform this action.
You will be redirected in 3 sec spinner