Calculation for continuous series or grouped data, Applied Statistics

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Calculation for Continuous Series or Grouped Data

1485_arithmetic mean.png

where,

m	=	mid-point of class
	=
f	=	frequency of each class

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)	No. of companies (f)	fm
0-8	4	12	48
8-16	12	20	240
16-24	20	25	500
24-32	28	28	784
32-40	36	15	540
Total		100	2112

1485_arithmetic mean.png

2112/100

21.12%

Thus, the average dividend is 21.12 percent.

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