Calculation for discrete series or ungrouped data , Applied Statistics

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Calculation for Discrete Series or Ungrouped Data

The formula for computing mean is 1931_arithmetic mean.png = 421_discrete series.png

where,

         f  = frequency

         X = variable

In a survey of 50 chemical industries, the following data was collected about the level of profits attained by them:

 

Xi = Level of
 profit (Rs. lakh)
 earned during 20x1-x2

fi = No. of companies  that earned Xi amount of profit

Xifi

20

16

24

25

31

12

15

8

7

8

240

240

192

175

248

Total

50

1095

 

The arithmetic mean is

592_discrete series1.png

Thus, the average profit of the chemical industry is Rs.21.90 lakh


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