Measures of Central Tendency

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

Geometric Mean

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

Harmonic Mean

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

Quadratic Mean

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

Keywords: arithmetic mean, geometric mean, harmonic mean, quadratic mean

Probability
Events, Operations with events, Complete system of events
Probability of an event
Conditional Probability
Law of Total Probability
Bayes’ Theorem
Discrete Probability Variable - Distribution Function
Statistics
Measures of Central Tendency
Statistics