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Coefficient of Variation given Variance Formula

GoCoefficient of Variation Ratio Formula

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Coefficient of Variation is ratio of standard deviation to mean of data. It expresses standard deviation as percentage of mean and is used to compare variability of datasets. Check FAQs

CV = \frac{\sqrt{σ 2}}{μ}

CV - Coefficient of Variation?σ² - Variance of Data?μ - Mean of Data?

Coefficient of Variation given Variance Example

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

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

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

0.7 = \frac{\sqrt{49}}{10}

0.7 = \frac{\sqrt{49}}{10}

0.7 = \frac{\sqrt{49}}{10}

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Coefficient of Variation given Variance Solution

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

FIRST Step Consider the formula

CV = \frac{\sqrt{σ 2}}{μ}

Next Step Substitute values of Variables

∴

CV = \frac{\sqrt{49}}{10}

Next Step Prepare to Evaluate

∴

CV = \frac{\sqrt{49}}{10}

LAST Step Evaluate

∴

CV = 0.7

Coefficient of Variation given Variance Formula Elements

Variables

Functions

Coefficient of Variation

Coefficient of Variation is ratio of standard deviation to mean of data. It expresses standard deviation as percentage of mean and is used to compare variability of datasets.

Symbol: CV

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Variation

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

Mean of Data

Mean of Data is average value of all data points in a dataset. It represents the central tendency of data and is calculated by summing all values and dividing by the total number of observations.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mean 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 Coefficient of Variation

Go Coefficient of Variation Ratio

CV = \frac{σ}{μ}

Other formulas in Coefficients category

Go Coefficient of Range

CR = \frac{L - S}{L + S}

Go Coefficient of Quartile Deviation

CQ = \frac{Q 3 - Q 1}{Q 3 + Q 1}

Go Coefficient of Mean Deviation Percentage

CM % = (\frac{MD}{μ}) \cdot 100

Go Coefficient of Mean Deviation

CM = \frac{MD}{μ}

How to Evaluate Coefficient of Variation given Variance?

Coefficient of Variation given Variance evaluator uses Coefficient of Variation = sqrt(Variance of Data)/Mean of Data to evaluate the Coefficient of Variation, Coefficient of Variation given Variance formula is defined as the ratio of standard deviation to mean of data. It expresses standard deviation as percentage of mean and is used to compare variability of datasets, and calculated using the variance of the data. Coefficient of Variation is denoted by CV symbol.

How to evaluate Coefficient of Variation given Variance using this online evaluator? To use this online evaluator for Coefficient of Variation given Variance, enter Variance of Data (σ²) & Mean of Data (μ) and hit the calculate button.

FAQs on Coefficient of Variation given Variance

What is the formula to find Coefficient of Variation given Variance?

The formula of Coefficient of Variation given Variance is expressed as Coefficient of Variation = sqrt(Variance of Data)/Mean of Data. Here is an example- 0.424264 = sqrt(49)/10.

How to calculate Coefficient of Variation given Variance?

With Variance of Data (σ²) & Mean of Data (μ) we can find Coefficient of Variation given Variance using the formula - Coefficient of Variation = sqrt(Variance of Data)/Mean of Data. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Coefficient of Variation?

Here are the different ways to Calculate Coefficient of Variation-

Coefficient of Variation=Standard Deviation of Data/Mean of Data

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Coefficient of Variation given Variance Formula

​GoCoefficient of Variation Ratio Formula

Coefficient of Variation given Variance Example

Coefficient of Variation given Variance Solution

Coefficient of Variation given Variance Formula Elements

Other Formulas to find Coefficient of Variation

Other formulas in Coefficients category

How to Evaluate Coefficient of Variation given Variance?

FAQs on Coefficient of Variation given Variance

Variable Name

GoCoefficient of Variation Ratio Formula