Find the median for the following data:


Variate



23



26



20



30



28



25



18



16



Frequency



4



6



13



5



11



4



8



9


By arranging data in ascending order,


Variate (x)



Frequency (f)



Cumulative frequency



16



9



9



18



8



17



20



13



30



23



4



34



25



4



38



26



6



44



28



11



55



30



5



60




N = 60




We have,


N = 60 (even number)


Median =



As we can see variate from 18th to 30th has the size of 20 and from 31st to 34th has the size of 23.



Hence median is 21.5.


12