Question

Compute the mode from the following series:

Size	45 – 55	55 – 65	65 – 75	75 – 85	85 – 95	95 – 105	105 - 115
Frequency	7	12	17	3	32	6	10

Answer 1

As the class 85 – 95 has the maximum frequency, it is the modal class. 

Now, x_k = 85, h = 10, f_k = 32, f_k-1 = 30, f_k+1 = 6

= (85 + 0.71) 

= 85.71

 Hence, mode = 85.71