Definition: Geometric mean of a set of n values of a variable gives a measure of their central tendency and is equal to the nth root of their product. Evidently, the geometric mean is not defined if one observation is zero or negative. If G be the geometric mean of n values x1, x2, …, […]
G.M.
Relation among A.M., G.M. and H.M.
(a) For any two positive numbers. A.M. ≥ G.M. ≥ H.M. Proof : let x1 and x2 be two the two positive numbers. therefore their, (b) for pair of positive number A.M. × H.M = G.M.2 Proof : let positive number be x1, x2. therefore, Example: The A.M. and G.M. of two number are […]