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A continues series is something which can be expressed in terms of class intervals with corresponding frequencies in order to reflect a particular distribution. The calculation of arithmetic mean in case of continuous series is given in the following example.


Class Interval

Frequency

Midpoint

freq*midpoint

10---20

12

15

180

20---30

33

25

825

30----40

16

35

560

40----50

25

45

1125

50---60

14

55

770

 

100

 

3460

 

 

 

 

Arithmetic mean

34.6

 

 

 

The steps for the calculation of arithmetic mean in case of a continuous distribution is first make a table, secondly form class intervals by identifying the minimum and maximum values in the distribution. Then calculate the frequencies in the table by using the tally bars. Then follow the below mentioned formula to calculate the mean.

The formula for calculation is

Mean = ∑fm/n

Where f is the frequency, m is the mid-point of corresponding classes and the n is total of the frequencies.

In the above example ∑fm= 3460 and the n=100

Hence mean= 3460/100= 34.6


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