What is the difference between geometric mean and arithmetic mean?
Arithmetic mean of two numbers A and B is:
(A + B)/2
Geometric mean of two numbers A and B is:
sqrt(A*B)
The geometric mean can be rewritten as follows:
sqrt(A*B) = Exp{Log[sqrt(A*B)]} =
Exp{1/2 [Log(A) + Log(B)]} =
Exp[Arithmetic mean of logarithms].