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Variance in Uniform Distribution Formula

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Variance of Data is the expectation of the squared deviation of the random variable associated with the given statistical data from its population mean or sample mean. Check FAQs

σ 2 = \frac{{(b - a)}^{2}}{12}

σ² - Variance of Data?b - Final Boundary Point of Uniform Distribution?a - Initial Boundary Point of Uniform Distribution?

Variance in Uniform Distribution Example

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Here is how the Variance in Uniform Distribution equation looks like with Values.

Here is how the Variance in Uniform Distribution equation looks like with Units.

Here is how the Variance in Uniform Distribution equation looks like.

1.3333 = \frac{{(10 - 6)}^{2}}{12}

1.3333 = \frac{{(10 - 6)}^{2}}{12}

1.3333 = \frac{{(10 - 6)}^{2}}{12}

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Variance in Uniform Distribution Solution

Follow our step by step solution on how to calculate Variance in Uniform Distribution?

FIRST Step Consider the formula

σ 2 = \frac{{(b - a)}^{2}}{12}

Next Step Substitute values of Variables

∴

σ 2 = \frac{{(10 - 6)}^{2}}{12}

Next Step Prepare to Evaluate

∴

σ 2 = \frac{{(10 - 6)}^{2}}{12}

Next Step Evaluate

∴

σ 2 = 1.33333333333333

LAST Step Rounding Answer

∴

σ 2 = 1.3333

Variance in Uniform Distribution Formula Elements

Variables

Variance of Data

Variance of Data is the expectation of the squared deviation of the random variable associated with the given statistical data from its population mean or sample mean.

Symbol: σ²

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Variance of Data

Final Boundary Point of Uniform Distribution

Final Boundary Point of Uniform Distribution is the upper bound of the interval in which the random variable is defined under uniform distribution.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Final Boundary Point of Uniform Distribution

Initial Boundary Point of Uniform Distribution

Initial Boundary Point of Uniform Distribution is the lower bound of the interval in which the random variable is defined under uniform distribution.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Initial Boundary Point of Uniform Distribution

Other formulas in Uniform Distribution category

Go Continuous Uniform Distribution

P ((A∪B∪C)') = 1 - P (A∪B∪C)

Go Discrete Uniform Distribution

P ((A∪B∪C)') = 1 - P (A∪B∪C)

How to Evaluate Variance in Uniform Distribution?

Variance in Uniform Distribution evaluator uses Variance of Data = ((Final Boundary Point of Uniform Distribution-Initial Boundary Point of Uniform Distribution)^2)/12 to evaluate the Variance of Data, Variance in Uniform Distribution formula is defined as the expectation of the squared deviation of the random variable associated with a statistical data following uniform distribution, from its population mean or sample mean. Variance of Data is denoted by σ² symbol.

How to evaluate Variance in Uniform Distribution using this online evaluator? To use this online evaluator for Variance in Uniform Distribution, enter Final Boundary Point of Uniform Distribution (b) & Initial Boundary Point of Uniform Distribution (a) and hit the calculate button.

FAQs on Variance in Uniform Distribution

What is the formula to find Variance in Uniform Distribution?

The formula of Variance in Uniform Distribution is expressed as Variance of Data = ((Final Boundary Point of Uniform Distribution-Initial Boundary Point of Uniform Distribution)^2)/12. Here is an example- 1.333333 = ((10-6)^2)/12.

How to calculate Variance in Uniform Distribution?

With Final Boundary Point of Uniform Distribution (b) & Initial Boundary Point of Uniform Distribution (a) we can find Variance in Uniform Distribution using the formula - Variance of Data = ((Final Boundary Point of Uniform Distribution-Initial Boundary Point of Uniform Distribution)^2)/12.

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Variance in Uniform Distribution Formula

Variance in Uniform Distribution Example

Variance in Uniform Distribution Solution

Variance in Uniform Distribution Formula Elements

Other formulas in Uniform Distribution category

How to Evaluate Variance in Uniform Distribution?

FAQs on Variance in Uniform Distribution

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