The following data give the number of boys of a particular age in a class of 40 students.


Age (in years)



15



16



17



18



19



20



Frequency (f1)



3



8



9



11



6



3



Calculate the mean age of the students.

Let’s draw the table and calculate the relative value of variables∑xi×fi


Age (in years) (xi)



Frequency (fi)



(xi×fi)



15



3



45



16



8



128



17



9



153



18



11



198



19



6



114



20



3



60




∑fi = 40



∑xi×fi = 698



By putting the formula of mean we get;


Mean =


= 17.45 years


So the mean age of the students will be 17.45years.


3