Question

What are arithmetic mean and geometric mean?

Answer 1

Step-1: Arithmetic Mean:

The arithmetic mean is defined as the ratio of the sum of all the given observations to the total number of observations. It is also called an average.

For the values, $a_1,a_2,a_3,........a_n$.

The arithmetic mean is, $\frac{{\mathbf{a}}_{\mathbf{1}}\mathbf{+}{\mathbf{a}}_{\mathbf{2}}\mathbf{+}{\mathbf{a}}_{\mathbf{3}}\mathbf{+}\mathbf{}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{+}{\mathbf{a}}_{\mathbf{n}}}{\mathbf{n}}$

Step-2 : Geometric Mean:

The geometric mean is the central tendency of the set of numbers by finding nth root of the product of $n$ numbers.

For the values, $a_1,a_2,a_3,........a_n$

The geometric mean is, $\sqrt[\mathbf{n}]{{\mathbf{a}}_{\mathbf{1}}\mathbf{\times }{\mathbf{a}}_{\mathbf{2}}\mathbf{\times }{\mathbf{a}}_{\mathbf{3}}\mathbf{\times }\mathbf{}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{.}\mathbf{\times }{\mathbf{a}}_{\mathbf{n}}}$