The ages of the employees of a company are given below:


Age (in years)



19



21



23



25



27



29



31



Number of persons



13



15



16



18



16



15



13



Find the mean, median and mode for the above data.

Draw the tables as given below,


Age in years (x)



No. of person (f)



Cumulative frequency



Fx



19



13



13



247



21



15



28



315



23



16



44



368



25



18



62



450



27



16



78



432



29



15



93



435



31



13



106



403




N = 106




∑fx = 2650



We have;


N = 106 (even number)


Median =





Now,


∑fx = 2650 and ∑f = N = 106


Mean =


Hence,


Mode = 3(median) – 2 (mean)


= 3×25 - 2×25


= 75 - 50


= 25


11