Question

What does the geometric mean tell you?

Answer 1

Geometric Mean:

1. The geometric mean is the average of the product of numbers.
2. Geometric mean can be only used for positive numbers
3. The geometric mean is usually used for growth rates such as population growth or interest rates.
4. The geometric mean is determined by multiplying the numbers and taking the square root for two numbers, the cube root for three numbers, and so on i.e., $\sqrt[\mathbf{n}]{{\mathbf{a}}_{\mathbf{1}}\mathbf{·}{\mathbf{a}}_{\mathbf{2}}\mathbf{·}{\mathbf{a}}_{\mathbf{3}}\mathbf{·}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{·}{\mathbf{a}}_{\mathbf{n}}}$
5. The formula can be written as ${\overline{\mathbf{X}}}_{\mathbf{geometric}}\mathbf{=}{\left(\underset{i=1}{\overset{n}{\prod x_i}}\right)}^{\raisebox{1ex}{$\mathbf{1}$}\!\left/ \!\raisebox{-1ex}{$\mathbf{n}$}\right.}$

Hence, the meaning of geoemetric mean is explained