Posted by **Mary** on Tuesday, July 17, 2007 at 3:40pm.

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].

## Answer this Question

## Related Questions

- geometric mean - The geometric mean of two postitive numbers a and b is sqrt(ab...
- geometric mean - Eighteen is the Geometric Mean of 12 and what number 18 = sqrt...
- math - The arithmetic mean of two numbers is 9 and their geometric mean is 3&#...
- arithmetic - 1. The first and last term of an A.P are, a and l respectively, ...
- ALGEBRA - the arithmetic mean of two numbers exceeds their geometric mean by two...
- ALGEBRA - the arithmetic mean of two numbers exceeds their geometric mean by two...
- arithmetic - 1. The first and last term of an A.P are, a and l respectively, ...
- Math *URGENT - Please give the answers and solutions for each. 1.If the second ...
- Geometry-8th gr - The geometric mean x of two numbers is the positive value of x...
- math - if the arithmetic mean of 2 positive numbers (a and b) is 16 and their ...

More Related Questions