Answer :

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


For median:


We have, total frequency, N = 59


N/2 = 59/2 = 29.5


Observe, cf = 36 is just greater than 29.5.


Thus, median class = 30 – 40


Median is given by



Where,


L = Lower class limit of median class = 30


N/2 = 29.5


cf = cumulative frequency of the class preceding median class = 21


f = frequency of the median class = 15


h = class interval of the median class = 10


Substituting these values in the formula of median, we get




Median = 30 + 5.67


Median = 35.67


Thus, the median of data is 35.67.


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