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Statistical Techniques for Transportation Engineering by Naresh Davergave, Anil Shah, G Rao, Kumar Molugaram

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i.e.,G=(x1x2xn)1nimagewhere G denotes the Geometric mean. It is also denoted by GM.When n is large, we make use of logarithms and reduce the formula to the form:

Geometricmean=antilog[logx1+logx2++logxnn]=antilog[1nflogxin]

image

2. GM of discrete series: If x1, x2, …, xn denote n observations with frequencies f1, f2, …, fn respectively then, the GM of the series is defined by

G=antilog[f1logx1+f2logx2++fnlogxnn]=antilog[1nfilogxin]

where n=fi

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