The distribution below gives the weight of 30 students in a class. Find the median weight of students:


Weight (in kg):



40-45



45-50



50-55



55-60



60-65



65-70



70-75



No. of students:



2



3



8



6



6



3



2


We may find cumulative frequencies with their respective class intervals as below:


Weight (in kg)



40-45



45-50



50-55



55-60



60-65



65-70



70-75



No. of students



2



3



8



6



6



3



2



Cumulative frequency



2



5



13



19



25



28



30



Median class = 55-60


l = 55, f = 6, F = 13 and h = 5


Median = l + * h


= 55 + () * 5


= 55 +


= 56.666


So, median weight is 56.67 kg.


19