Coefficient of Variation given Variance Calculator

✖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.ⓘ Variance of Data [σ²]			+10% -10%
✖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.ⓘ Mean of Data [μ]			+10% -10%

✖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.ⓘ Coefficient of Variation given Variance [CV]

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Formula

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Coefficient of Variation given Variance

Formula

`"CV" = sqrt("σ"^{"2"})/"μ"`

Example

`"0.7"=sqrt("49")/"10"`

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Coefficient of Variation given Variance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Variation = sqrt(Variance of Data)/Mean of Data
CV = sqrt(σ²)/μ
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Variance of Data: 49 --> No Conversion Required
Mean of Data: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

CV = sqrt(σ²)/μ --> sqrt(49)/10

Evaluating ... ...

CV = 0.7

STEP 3: Convert Result to Output's Unit

0.7 --> No Conversion Required

FINAL ANSWER

0.7 <-- Coefficient of Variation

(Calculation completed in 00.004 seconds)

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< 7 Coefficients Calculators

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Go Coefficient of Quartile Deviation = (Third Quartile of Data-First Quartile of Data)/(Third Quartile of Data+First Quartile of Data)

Coefficient of Range

Go Coefficient of Range = (Largest Item in Data-Smallest Item in Data)/(Largest Item in Data+Smallest Item in Data)

Coefficient of Variation given Variance

Go Coefficient of Variation = sqrt(Variance of Data)/Mean of Data

Coefficient of Mean Deviation Percentage

Go Coefficient of Mean Deviation Percentage = (Mean Deviation of Data/Mean of Data)*100

Coefficient of Variation Percentage

Go Coefficient of Variation Percentage = (Standard Deviation of Data/Mean of Data)*100

Coefficient of Mean Deviation

Go Coefficient of Mean Deviation = Mean Deviation of Data/Mean of Data

Coefficient of Variation Ratio

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

Coefficient of Variation given Variance Formula

Coefficient of Variation = sqrt(Variance of Data)/Mean of Data
CV = sqrt(σ²)/μ

What are the importance of Coefficients in Statistics?

In Statistics, there are plenty of well known numerical coefficients. Mostly they are ratios of some important parameters related to a sample or population, and sometimes those ratios will be represented as percentage. The primary importance of such coefficients is to take inferences or conclusions about a data. When dealing with large populations, it will be very difficult to take a conclusion by going through all the observations. So first calculate some coefficients or percentages using the parameters which depend all the data like mean, variance, standard deviation, etc. Then using those values we can take various conclusions or decisions about the growth, decay, linearity, performance, etc of the data.

How to Calculate Coefficient of Variation given Variance?

Coefficient of Variation given Variance calculator uses Coefficient of Variation = sqrt(Variance of Data)/Mean of Data to calculate 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 calculate Coefficient of Variation given Variance using this online calculator? To use this online calculator for Coefficient of Variation given Variance, enter Variance of Data (σ²) & Mean of Data (μ) and hit the calculate button. Here is how the Coefficient of Variation given Variance calculation can be explained with given input values -> 0.424264 = sqrt(49)/10.

FAQ

What is Coefficient of Variation given Variance?

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 and is represented as CV = sqrt(σ²)/μ or Coefficient of Variation = sqrt(Variance of Data)/Mean 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 & 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.

How to calculate Coefficient of Variation given Variance?

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 is calculated using Coefficient of Variation = sqrt(Variance of Data)/Mean of Data. To calculate Coefficient of Variation given Variance, you need Variance of Data (σ²) & Mean of Data (μ). With our tool, you need to enter the respective value for Variance of Data & Mean of Data and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Coefficient of Variation?

In this formula, Coefficient of Variation uses Variance of Data & Mean of Data. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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