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 
1020 
12 
15 
180 
2030 
33 
25 
825 
3040 
16 
35 
560 
4050 
25 
45 
1125 
5060 
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 midpoint 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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