The following table shows the weights of 12 students.


Weight (in kg)



47



50



53



56



60



Number of students



4



3



2



2



4


Draw the table as below,


Weight in kg (x)



No. of students (f)



Cumulative frequency



Fx



47



4



4



188



50



3



7



150



53



2



9



106



56



2



11



112



60



4



15



240




N = 15




∑fx = 796



We have;


N = 15(0dd number)


Median = value of the term


= value of 8th term


= 53


Now,


∑fx = 796 and ∑f = N = 15


Mean =


Hence,


Mode = 3(median) – 2 (mean)


= 3×53 - 2×53.06


= 159 – 106.12


= 52.88


So, Mean, median and mode are 53, 53.06 and 52.88


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