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Calculations :
Discrete Series : There is a difference
in the methods for finding the arithmetic means of the individual
series and a discrete series. In the discrete series, every term
(i.e. value of x) is multiplied by its corresponding frequency (fixi)
and then their total (sum) is found  .
The arithmetic mean is then obtained by dividing the total frequency
 by
the above sum so obtained
.
Therefore, if the observations x1 + x2 + x3 + .......+ xn are repeated f1 + f2 + f3 + ......+ fn times, then we have :
Arithmetic mean 
The formulae for Arithmetic mean by direct method and by the short-cut methods are as follows:
Direct method Short-cut method
and u = xi - A
Therefore, 
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Index
4.1 Introduction
4.2 Arithmetic Mean
4.3 Properties of Arithmetic Mean
4.4 Median
4.5 Mode
4.6 Empirical relation between mean, median & mode
Chapter 5
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