If a is the GM of the product of r sets of observations with geometric means G1,G2, …Gr respectively, then G is equal to
As we have learned
Geometric Mean -
In case of discrete frequency distribution.
- wherein
Let x1, x2,………xn and y1, y2,……., yn be two series of observations with geometric means G1 and G2 respectively. Then,
G1 = (x1, x2 ………xn)1/n and G2 = (y1, y2….. yn)1/n
Since G is the geometric mean of the ratios of the corresponding observations, therefore
=
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