Geometric Mean Value

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

• • …
• Example(s):
  • [math]\displaystyle{ 4 }[/math] for [math]\displaystyle{ f_{\text{geometric mean}}({2, 8}) }[/math].
  • [math]\displaystyle{ \frac{1}{2} }[/math] for [math]\displaystyle{ 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.

---