Geometric Mean and Mean (comparison):
The quantitative distinction between the geometric mean and the mean can be illustrated by the following table:
| Data set | Mean | Geometric Mean |
| 1, 1, 1 | 1 | 1 |
| 1, 2, 3 | 2 | 1.6 |
| 1, 2, 1000 | 334 | 6.7 |
The analytical relation between the mean (M) and the geometric mean (GM) is the following:
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