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## 6.5.1 Geometric Mean

Geometric mean of a set of n observations is the nth root of their product. Thus the geometric mean, G, of n observations x G = (x The computation is facilitated by the use of logarithms. Taking logarithm on both sides, we get G=antilog $${1\over n}\sum^n_{i=1}\log x_{i}$$ In case of frequency distribution x Taking logarithm of both sides, we get l
Thus we see that logarithm of G is the arithmetic mean of the logarithms of the given values. We get G=antilog In the case of grouped or continuous frequency distribution, x is taken to be the value corresponding to the mid-points of the classes. |

Last modified: Monday, 13 August 2012, 6:47 AM