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Variance of Observations Formula

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The Variance is defined as the average of the squared differences from the Mean. Check FAQs

σ 2 = \frac{ƩV 2}{n obs - 1}

σ² - Variance?ƩV² - Sum of Square of Residual Variation?n_obs - Number of Observations?

Variance of Observations Example

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Here is how the Variance of Observations equation looks like with Values.

Here is how the Variance of Observations equation looks like with Units.

Here is how the Variance of Observations equation looks like.

1666.6667 = \frac{5000}{4 - 1}

1666.6667 = \frac{5000}{4 - 1}

1666.6667 = \frac{5000}{4 - 1}

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Variance of Observations Solution

Follow our step by step solution on how to calculate Variance of Observations?

FIRST Step Consider the formula

σ 2 = \frac{ƩV 2}{n obs - 1}

Next Step Substitute values of Variables

∴

σ 2 = \frac{5000}{4 - 1}

Next Step Prepare to Evaluate

∴

σ 2 = \frac{5000}{4 - 1}

Next Step Evaluate

∴

σ 2 = 1666.66666666667

LAST Step Rounding Answer

∴

σ 2 = 1666.6667

Variance of Observations Formula Elements

Variables

Variance

The Variance is defined as the average of the squared differences from the Mean.

Symbol: σ²

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Variance

Sum of Square of Residual Variation

Sum of square of residual variation is the value obtained by adding the squared value of residual variation.

Symbol: ƩV²

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sum of Square of Residual Variation

Number of Observations

Number of Observations refers to the number of observations taken in the given data collection.

Symbol: n_obs

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Observations

Other formulas in Theory of Errors category

Go Probable Error of Mean

PE m = \frac{PE s}{{n obs}^{0.5}}

Go Mean Error given Sum of Errors

E m = \frac{ΣE}{n obs}

Go Mean Error given Specified Error of Single Measurement

E m = \frac{E s}{\sqrt{n obs}}

Go True Error

ε x = X - x

How to Evaluate Variance of Observations?

Variance of Observations evaluator uses Variance = Sum of Square of Residual Variation/(Number of Observations-1) to evaluate the Variance, Variance of Observations is used to measure the dispersion or spread of observed values around the mean value. it is square of standard deviation. Variance is denoted by σ² symbol.

How to evaluate Variance of Observations using this online evaluator? To use this online evaluator for Variance of Observations, enter Sum of Square of Residual Variation (ƩV²) & Number of Observations (n_obs) and hit the calculate button.

FAQs on Variance of Observations

What is the formula to find Variance of Observations?

The formula of Variance of Observations is expressed as Variance = Sum of Square of Residual Variation/(Number of Observations-1). Here is an example- 1666.667 = 5000/(4-1).

How to calculate Variance of Observations?

With Sum of Square of Residual Variation (ƩV²) & Number of Observations (n_obs) we can find Variance of Observations using the formula - Variance = Sum of Square of Residual Variation/(Number of Observations-1).

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Variance of Observations Formula

Variance of Observations Example

Variance of Observations Solution

Variance of Observations Formula Elements

Other formulas in Theory of Errors category

How to Evaluate Variance of Observations?

FAQs on Variance of Observations

Variable Name