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


Weight (in kg)



40 - 45



45 - 50



50 - 55



55 – 60



60 - 65



65 - 70



70 - 75



Number of students



2



3



8



6



6



3



2


The cumulative frequency of the given data can be calculated as:


Class interval



frequency



Cumulative Frequency



40-45



2



2



45-50



3



5



50-55



8



13



55-60



6



19



60-65



6



25



65-70



3



28



70-75



2



30



As per the question,


N= 30



Hence,


Median class = 55-60


Lower limit, l = 55


cf = 13


f = 6


h = 5


Now,


Median can be calculated as:





= 56.67


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