Question

Consider the following table:

Class interval	10 – 14	14 – 18	18 – 22	22 – 26	26 – 30
Frequency	5	11	16	25	19

The mode of the above data is 

(a) 23. 5 

(b) 24 

(c) 24.4 

(d) 25

Answer 1

The maximum frequency is 25 and the modal class is 22 - 26. 

Now, x_k = 22, fk = 25, f_k-1= 16, f_k+1 = 19 and h = 4

= 22 + 4 × \(\frac{9}{15}\) 

= 22 + \(\frac{12}5\) = 22 + 2.4 

= 24.4