Math Formulas

Formulas -> Probability and Statistics -> Statistics

Arithmetic Mean

A = \frac{x_{1} + x_{2} + x_{3} + \cdot \cdot \cdot + x_{n}}{n} = \frac{{\sum x_{i}}_{i = 1}^{n}}{n} \forall x_{i} \in ℝ

G = \sqrt[n]{x_{1} \cdot x_{2} \cdot x_{3} \cdot \cdot \cdot \cdot \cdot x_{n}} = \sqrt[n]{\prod_{i = 1}^{n} x_{i}} \forall x_{i} \geq 0

H = \frac{n}{\frac{1}{x_{1}} + \frac{1}{x_{2}} + \frac{1}{x_{3}} + \cdot \cdot \cdot + \frac{1}{x_{n}}} = \frac{n}{\sum_{i = 1}^{n} \frac{1}{x_{n}}} \forall x_{i} > 0

Q = \sqrt{\frac{x_{1}^{2} + x_{2}^{2} + x_{3}^{2} + \cdot \cdot \cdot + x_{n}^{2}}{n}} \forall x_{i} \geq 0