# Category:Variance

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This category contains results about **variances of random variables**.

Definitions specific to this category can be found in **Definitions/Variance**.

Let $X$ be a discrete random variable.

Then the **variance of $X$**, written $\var X$, is a measure of how much the values of $X$ varies from the expectation $\expect X$, and is defined as:

- $\var X := \expect {\paren {X - \expect X}^2}$

That is: it is the expectation of the squares of the deviations from the expectation.

## Subcategories

This category has the following 14 subcategories, out of 14 total.

## Pages in category "Variance"

The following 42 pages are in this category, out of 42 total.

### S

### V

- Variance as Expectation of Square minus Square of Expectation
- Variance is Least Mean Square Deviation about Point
- Variance of Bernoulli Distribution
- Variance of Beta Distribution
- Variance of Binomial Distribution
- Variance of Chi Distribution
- Variance of Chi-Squared Distribution
- Variance of Continuous Uniform Distribution
- Variance of Discrete Random Variable from PGF
- Variance of Discrete Uniform Distribution
- Variance of Erlang Distribution
- Variance of Exponential Distribution
- Variance of F-Distribution
- Variance of Gamma Distribution
- Variance of Gaussian Distribution
- Variance of Geometric Distribution
- Variance of Geometric Distribution/Formulation 1
- Variance of Geometric Distribution/Formulation 2
- Variance of Hat-Check Distribution
- Variance of Linear Combination of Random Variables
- Variance of Linear Combination of Random Variables/Corollary
- Variance of Linear Transformation of Random Variable
- Variance of Log Normal Distribution
- Variance of Logistic Distribution
- Variance of Negative Binomial Distribution/Second Form
- Variance of Pareto Distribution
- Variance of Poisson Distribution
- Variance of Sample Mean
- Variance of Shifted Geometric Distribution
- Variance of Student's t-Distribution
- Variance of Student's t-Distribution/Proof 1
- Variance of Student's t-Distribution/Proof 2
- Variance of Weibull Distribution