Answer :

To find median of heights of students, we need to make a table calculating cumulative frequency.


For median:


We have, total frequency, N = 100


N/2 = 100/2 = 50


Observe, cf = 57 is just greater than 50.


Thus, median class = 150 – 155


Median is given by



Where,


L = Lower class limit of median class = 150


N/2 = 50


cf = cumulative frequency of the class preceding median class = 35


f = frequency of the median class = 22


h = class interval of the median class = 5


Substituting these values in the formula of median, we get




Median = 150 + 3.409


Median = 153.409


Thus, the median of heights of students is 153.409 cm.


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