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Variance given Standard Deviation Formula

GoVariance of Data Formula

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Variance of Data is the average of the squared differences between each data point and the mean of the dataset. It quantifies the overall variability or spread of the data points around the mean. Check FAQs

σ 2 = {(σ)}^{2}

σ² - Variance of Data?σ - Standard Deviation of Data?

Variance given Standard Deviation Example

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Here is how the Variance given Standard Deviation equation looks like with Values.

Here is how the Variance given Standard Deviation equation looks like with Units.

Here is how the Variance given Standard Deviation equation looks like.

6.25 = {(2.5)}^{2}

6.25 = {(2.5)}^{2}

6.25 = {(2.5)}^{2}

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Variance given Standard Deviation Solution

Follow our step by step solution on how to calculate Variance given Standard Deviation?

FIRST Step Consider the formula

σ 2 = {(σ)}^{2}

Next Step Substitute values of Variables

∴

σ 2 = {(2.5)}^{2}

Next Step Prepare to Evaluate

∴

σ 2 = {(2.5)}^{2}

LAST Step Evaluate

∴

σ 2 = 6.25

Variance given Standard Deviation Formula Elements

Variables

Variance of Data

Variance of Data is the average of the squared differences between each data point and the mean of the dataset. It quantifies the overall variability or spread of the data points around the mean.

Symbol: σ²

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Variance of Data

Standard Deviation of Data

Standard Deviation of Data is the measure of how much the values in a dataset vary. It quantifies the dispersion of data points around the mean.

Symbol: σ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Deviation of Data

Other Formulas to find Variance of Data

Go Variance of Data

σ 2 = (\frac{Σx 2}{N}) - (μ^{2})

Other formulas in Variance category

Go Variance of Scalar Multiple of Random Variable

V cX = (c^{2}) \cdot σ 2 Random X

Go Variance of Sum of Independent Random Variables

σ 2 Sum = σ 2 Random X + σ 2 Random Y

Go Pooled Variance

V Pooled = \frac{((N X - 1) \cdot σ 2 X) + ((N Y - 1) \cdot σ 2 Y)}{N X + N Y - 2}

How to Evaluate Variance given Standard Deviation?

Variance given Standard Deviation evaluator uses Variance of Data = (Standard Deviation of Data)^2 to evaluate the Variance of Data, Variance given Standard Deviation formula is defined as the average of the squared differences between each data point and the mean of the dataset. It quantifies the overall variability or spread of the data points around the mean, and calculated using the standard deviation of the given data. Variance of Data is denoted by σ² symbol.

How to evaluate Variance given Standard Deviation using this online evaluator? To use this online evaluator for Variance given Standard Deviation, enter Standard Deviation of Data (σ) and hit the calculate button.

FAQs on Variance given Standard Deviation

What is the formula to find Variance given Standard Deviation?

The formula of Variance given Standard Deviation is expressed as Variance of Data = (Standard Deviation of Data)^2. Here is an example- 6.25 = (2.5)^2.

How to calculate Variance given Standard Deviation?

With Standard Deviation of Data (σ) we can find Variance given Standard Deviation using the formula - Variance of Data = (Standard Deviation of Data)^2.

What are the other ways to Calculate Variance of Data?

Here are the different ways to Calculate Variance of Data-

Variance of Data=(Sum of Squares of Individual Values/Number of Individual Values)-(Mean of Data^2)

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