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When data is given along with 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 |
In discrete series, Arithmetic Mode can be determined by inspection and finding the variable which has the highest frequency associated with it. However, when there is very less difference between the maximum frequency and the frequency preceding it or succeeding it, then grouping table method is used.
Example
Problem Statement −
Calculate Arithmetic Mode for the following discrete data −
| Items | 14 | 36 | 45 | 70 | 105 | 145 |
|---|---|---|---|---|---|---|
| Frequency | 2 | 5 | 1 | 3 | 12 | 0 |
Solution −
The Arithmetic Mode of the given numbers is 105 as the highest frequency,12 is associated with 105.
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