TDSM 2.9
From The Data Science Design Manual Wikia
When all terms [math] x_0 = x_1 = \dots = x_{n-1} [/math]
The arthmetic mean is [math]\frac{1}{n} \sum_{i = 0}^{n-1} = \frac{1}{n}\times nx_0 = x_0[/math]
The geometric mean is [math] \sqrt[n]{\prod_{i = 0}^{n-1}} = \sqrt[n]{x_0 ^n} = x_0[/math]
So the arithmetic mean equals the geometric mean when all terms are the same.
