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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,   


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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