Arithmetic Mean in the most common and easily understood measure of central tendency. We can define mean as the value obtained by dividing the sum of measurements with the number of measurements contained in the data set and is denoted by the symbol $\bar{x}$.
We're going to discuss methods to compute the Arithmetic Mean for three types of series:
When data is given on individual basis. Following is an example of individual series:
Items | 5 | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
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When data is given alongwith their frequencies. Following is an example of discrete series:
Items | 5 | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
---|---|---|---|---|---|---|---|---|
Frequency | 2 | 5 | 1 | 3 | 12 | 0 | 5 | 7 |
When data is given based on ranges alongwith their frequencies. Following is an example of continous series:
Items | 0-5 | 5-10 | 10-20 | 20-30 | 30-40 |
---|---|---|---|---|---|
Frequency | 2 | 5 | 1 | 3 | 12 |