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Standard Deviation given Coefficient of Variation Percentage Formula

GoStandard Deviation given Variance 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 = \frac{μ \cdot CV %}{100}

σ - Standard Deviation of Data?μ - Mean of Data?CV_% - Coefficient of Variation Percentage?

Standard Deviation given Coefficient of Variation Percentage Example

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

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

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

2.505 = \frac{1.5 \cdot 167}{100}

2.505 = \frac{1.5 \cdot 167}{100}

2.505 = \frac{1.5 \cdot 167}{100}

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Standard Deviation given Coefficient of Variation Percentage Solution

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

FIRST Step Consider the formula

σ = \frac{μ \cdot CV %}{100}

Next Step Substitute values of Variables

∴

σ = \frac{1.5 \cdot 167}{100}

Next Step Prepare to Evaluate

∴

σ = \frac{1.5 \cdot 167}{100}

LAST Step Evaluate

∴

σ = 2.505

Standard Deviation given Coefficient of Variation Percentage 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 Percentage

Coefficient of Variation Percentage is the coefficient of variation expressed as a percentage.

Symbol: CV_%

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Variation Percentage

Other Formulas to find Standard Deviation of Data

Go Standard Deviation given Variance

σ = \sqrt{σ 2}

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 Coefficient of Variation Percentage?

Standard Deviation given Coefficient of Variation Percentage evaluator uses Standard Deviation of Data = (Mean of Data*Coefficient of Variation Percentage)/100 to evaluate the Standard Deviation of Data, Standard Deviation given Coefficient of Variation Percentage 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 percentage of the given data. Standard Deviation of Data is denoted by σ symbol.

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

FAQs on Standard Deviation given Coefficient of Variation Percentage

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

The formula of Standard Deviation given Coefficient of Variation Percentage is expressed as Standard Deviation of Data = (Mean of Data*Coefficient of Variation Percentage)/100. Here is an example- 2.505 = (1.5*167)/100.

How to calculate Standard Deviation given Coefficient of Variation Percentage?

With Mean of Data (μ) & Coefficient of Variation Percentage (CV_%) we can find Standard Deviation given Coefficient of Variation Percentage using the formula - Standard Deviation of Data = (Mean of Data*Coefficient of Variation Percentage)/100.

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=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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: Unit

Standard Deviation given Coefficient of Variation Percentage Formula

​GoStandard Deviation given Variance Formula

​GoStandard Deviation given Mean Formula

Standard Deviation given Coefficient of Variation Percentage Example

Standard Deviation given Coefficient of Variation Percentage Solution

Standard Deviation given Coefficient of Variation Percentage 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 Percentage?

FAQs on Standard Deviation given Coefficient of Variation Percentage

Variable Name

GoStandard Deviation given Variance Formula

GoStandard Deviation given Mean Formula