Grouped Data
For calculating mode from a frequency distribution, the following formula
where,
L_{mo} = Lower limit of the modal class which is the class having the maximum frequency
f_{1}, f_{2} = Frequencies of the classes preceding and succeeding the modal class respectively
f = Frequency of the modal class
W = Class interval
Let us find the mode for the data given below:
Sales in crore
0-8
8-16
16-24
24-32
32-40
No. of companies
19
25
36
43
28
Here the largest frequency is 43, and it lies in the class 24-32. So the modal class is 24-32. Therefore,
L_{mo} = 24, f_{2} = 28, f_{1} = 36, W = 8, f = 43
Mode
= 24 + 2.55 = 26.55