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Calculation for Continuous Series or Grouped Data
=
where,
m = mid-point of class = f = frequency of each class
m
f
N = = total frequency
A security analyst studied a hundred companies and obtained the following distribution for the dividend declared by these companies during the year 2002. Calculate the average dividend.
Dividend declared (in percentage)
0-8
8-16
16-24
24-32
32-40
No. of companies (f)
12
20
25
28
15
Dividend declared
Mid-point (m)
fm
4
48
240
500
784
36
540
Total
100
2112
Thus, the average dividend is 21.12 percent.
The following are the various types of common averages used in statistical analysis given in the form of a chart. Figure 1
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