Find the median of the following data:

First, let us make a cumulative frequency distribution of less than type.



In this case,


Sum of all frequencies, n = 53



Now, we know the median class is whose cumulative frequency is greater than and nearest to .


As, a Cumulative frequency greater than and nearest to 26.5 is 29, the median class is 60 - 70.


Median


where l = lower limit of median class,


n = number of observations,


cf = cumulative frequency of class preceding the median class,


f = frequency of median class,


h = class size


In this case,


l = 60


n = 53


cf = 22


f = 7


h = 10


Putting values, we get,


Median



24