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Standard Deviation given Coefficient of Variation Formula

GoStandard Deviation given Variance Formula

GoStandard Deviation given Coefficient of Variation Percentage 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 = μ \cdot CV Ratio

σ - Standard Deviation of Data?μ - Mean of Data?CV_Ratio - Coefficient of Variation Ratio?

Standard Deviation given Coefficient of Variation Example

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Here is how the Standard Deviation given Coefficient of Variation equation looks like with Values.

Here is how the Standard Deviation given Coefficient of Variation equation looks like with Units.

Here is how the Standard Deviation given Coefficient of Variation equation looks like.

2.505 = 1.5 \cdot 1.67

2.505 = 1.5 \cdot 1.67

2.505 = 1.5 \cdot 1.67

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Standard Deviation given Coefficient of Variation Solution

Follow our step by step solution on how to calculate Standard Deviation given Coefficient of Variation?

FIRST Step Consider the formula

σ = μ \cdot CV Ratio

Next Step Substitute values of Variables

∴

σ = 1.5 \cdot 1.67

Next Step Prepare to Evaluate

∴

σ = 1.5 \cdot 1.67

LAST Step Evaluate

∴

σ = 2.505

Standard Deviation given Coefficient of Variation Formula Elements

Variables

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

Mean of Data

Mean of Data is the average value of all the data points in a dataset. It represents the central tendency of the data.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mean of Data

Coefficient of Variation Ratio

Coefficient of Variation Ratio is the ratio of the standard deviation to the mean of the data.

Symbol: CV_Ratio

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Variation Ratio

Other Formulas to find Standard Deviation of Data

Go Standard Deviation given Variance

σ = \sqrt{σ 2}

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 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 Coefficient of Variation?

Standard Deviation given Coefficient of Variation evaluator uses Standard Deviation of Data = Mean of Data*Coefficient of Variation Ratio to evaluate the Standard Deviation of Data, Standard Deviation given Coefficient of Variation 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 coefficient of variation ratio of the given data. Standard Deviation of Data is denoted by σ symbol.

How to evaluate Standard Deviation given Coefficient of Variation using this online evaluator? To use this online evaluator for Standard Deviation given Coefficient of Variation, enter Mean of Data (μ) & Coefficient of Variation Ratio (CV_Ratio) and hit the calculate button.

FAQs on Standard Deviation given Coefficient of Variation

What is the formula to find Standard Deviation given Coefficient of Variation?

The formula of Standard Deviation given Coefficient of Variation is expressed as Standard Deviation of Data = Mean of Data*Coefficient of Variation Ratio. Here is an example- 2.505 = 1.5*1.67.

How to calculate Standard Deviation given Coefficient of Variation?

With Mean of Data (μ) & Coefficient of Variation Ratio (CV_Ratio) we can find Standard Deviation given Coefficient of Variation using the formula - Standard Deviation of Data = Mean of Data*Coefficient of Variation Ratio.

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=sqrt(Variance 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))

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Standard Deviation given Coefficient of Variation Formula

​GoStandard Deviation given Variance Formula

​GoStandard Deviation given Coefficient of Variation Percentage Formula

Standard Deviation given Coefficient of Variation Example

Standard Deviation given Coefficient of Variation Solution

Standard Deviation given Coefficient of Variation Formula Elements

Other Formulas to find Standard Deviation of Data

Other formulas in Standard Deviation category

How to Evaluate Standard Deviation given Coefficient of Variation?

FAQs on Standard Deviation given Coefficient of Variation

Variable Name

GoStandard Deviation given Variance Formula

GoStandard Deviation given Coefficient of Variation Percentage Formula