The table given below shows the weights (in kg) of 50 persons:


Weight (in kg)



42



47



52



57



62



67



72



Number of persons



3



8



6



8



11



5



9



Find the mean, median and mode.

Draw the table as below,


Weight in kg (x)



No. of person (f)



Cumulative frequency



Fx



42



3



3



126



47



8



11



376



52



6



17



312



57



8



25



456



62



11



36



682



67



5



41



335



72



9



50



648




N = 50




∑fx = 2935



We have;


N = 50 (even number)


Median =





Now,


∑fx = 2935 and ∑f = N = 50


Mean =


Hence,


Mode = 3(median) – 2 (mean)


= 3×59.7 - 2×58.7


= 179.1 – 117.4


= 61.1 kg


9