# Geometric Mean Value

A Geometric Mean Value is a mean value calculated by the geometric mean function.

**Example(s):**- [math]4[/math] for [math]f_{\text{geometric mean}}({2, 8})[/math].
- [math]\frac{1}{2}[/math] for [math]f_{\text{geometric mean}}({1, 0.5, 0.25})[/math].

**Counter-Example(s):**- an Arithmetic Mean.
- a Harmonic Mean.

**See:**Law of Large Numbers, Normalized Inner Product, Nth Root.

## References

### 2009

- (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Geometric_mean
- For instance, the geometric mean of two numbers, say
**2**and**8**, is just the square root (i.e., the second root) of their product, 16, which is**4**. As another example, the geometric mean of 1,**1/2**, and 1/4**is the cube root (i.e., the third root) of their product (0.125), which is**1/2.

- For instance, the geometric mean of two numbers, say