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Standard Deviation given Variance Formula

GoStandard Deviation given Coefficient of Variation Percentage Formula

GoStandard Deviation given Mean Formula

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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. Check FAQs

σ = \sqrt{σ 2}

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

Standard Deviation given Variance Example

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

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

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

2.5 = \sqrt{6.25}

2.5 = \sqrt{6.25}

2.5 = \sqrt{6.25}

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Standard Deviation given Variance Solution

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

FIRST Step Consider the formula

σ = \sqrt{σ 2}

Next Step Substitute values of Variables

∴

σ = \sqrt{6.25}

Next Step Prepare to Evaluate

∴

σ = \sqrt{6.25}

LAST Step Evaluate

∴

σ = 2.5

Standard Deviation given Variance Formula Elements

Variables

Functions

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Standard Deviation of Data

Go Standard Deviation given Coefficient of Variation Percentage

σ = \frac{μ \cdot CV %}{100}

Go Standard Deviation given Mean

σ = \sqrt{(\frac{Σx 2}{N}) - (μ^{2})}

Go Standard Deviation given Coefficient of Variation

σ = μ \cdot CV Ratio

Go Standard Deviation of Data

σ = \sqrt{(\frac{Σx 2}{N}) - ({(\frac{Σx}{N})}^{2})}

Other formulas in Standard Deviation category

Go Pooled Standard Deviation

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

Go Standard Deviation of Sum of Independent Random Variables

σ (X+Y) = \sqrt{({σ X(Random)}^{2}) + ({σ Y(Random)}^{2})}

How to Evaluate Standard Deviation given Variance?

Standard Deviation given Variance evaluator uses Standard Deviation of Data = sqrt(Variance of Data) to evaluate the Standard Deviation of Data, Standard Deviation given Variance formula is defined as the measure of how much the values in a dataset vary. It quantifies the dispersion of data points around the mean, and calculated using the variance of the given data. Standard Deviation of Data is denoted by σ symbol.

How to evaluate Standard Deviation given Variance using this online evaluator? To use this online evaluator for Standard Deviation given Variance, enter Variance of Data (σ²) and hit the calculate button.

FAQs on Standard Deviation given Variance

What is the formula to find Standard Deviation given Variance?

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

How to calculate Standard Deviation given Variance?

With Variance of Data (σ²) we can find Standard Deviation given Variance using the formula - Standard Deviation of Data = sqrt(Variance of Data). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Standard Deviation of Data?

Here are the different ways to Calculate Standard Deviation of Data-

Standard Deviation of Data=(Mean of Data*Coefficient of Variation Percentage)/100
Standard Deviation of Data=sqrt((Sum of Squares of Individual Values/Number of Individual Values)-(Mean of Data^2))
Standard Deviation of Data=Mean of Data*Coefficient of Variation Ratio

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