Q11 of 55 Page 349

Let us find the median of given data.

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


For median:


We have, total frequency, N = 50


N/2 = 50/2 = 25


Observe, cf = 26 is just greater than 25.


Thus, median class = 15 – 20


Median is given by



Where,


L = Lower class limit of median class = 15


N/2 = 25


cf = cumulative frequency of the class preceding median class = 11


f = frequency of the median class = 15


h = class interval of the median class = 5


Substituting these values in the formula of median, we get




Median = 15 + 9.33


Median = 24.33


Thus, the median of data is 24.33.


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