Standard Deviation given Coefficient of Variation Percentage Calculator

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Standard Deviation Quartile Deviation Variance

✖Mean of Data is the average value of all the data points in a dataset. It represents the central tendency of the data.ⓘ Mean of Data [μ]			+10% -10%
✖Coefficient of Variation Percentage is the coefficient of variation expressed as a percentage.ⓘ Coefficient of Variation Percentage [CV_%]			+10% -10%

✖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.ⓘ Standard Deviation given Coefficient of Variation Percentage [σ]

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Standard Deviation given Coefficient of Variation Percentage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Standard Deviation of Data = (Mean of Data*Coefficient of Variation Percentage)/100
σ = (μ*CV_%)/100
This formula uses 3 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Mean of Data: 1.5 --> No Conversion Required
Coefficient of Variation Percentage: 167 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ = (μ*CV_%)/100 --> (1.5*167)/100

Evaluating ... ...

σ = 2.505

STEP 3: Convert Result to Output's Unit

2.505 --> No Conversion Required

FINAL ANSWER

2.505 <-- Standard Deviation of Data

(Calculation completed in 00.020 seconds)

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< Standard Deviation Calculators

Pooled Standard Deviation

LaTeX Go Pooled Standard Deviation = sqrt((((Size of Sample X-1)*(Standard Deviation of Sample X^2))+((Size of Sample Y-1)*(Standard Deviation of Sample Y^2)))/(Size of Sample X+Size of Sample Y-2))

Standard Deviation of Sum of Independent Random Variables

LaTeX Go Standard Deviation of Sum of Random Variables = sqrt((Standard Deviation of Random Variable X^2)+(Standard Deviation of Random Variable Y^2))

Standard Deviation given Coefficient of Variation Percentage

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

Standard Deviation given Variance

LaTeX Go Standard Deviation of Data = sqrt(Variance of Data)

Standard Deviation given Coefficient of Variation Percentage Formula

LaTeX Go

Standard Deviation of Data = (Mean of Data*Coefficient of Variation Percentage)/100
σ = (μ*CV_%)/100

What is Standard Deviation in Statistics?

In Statistics, the Standard Deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range. A useful property of the standard deviation is that, unlike the variance, it is expressed in the same unit as the data. The Standard Deviation of a random variable, sample, statistical population, data set, or probability distribution is defined and calculated as the square root of its variance.

How to Calculate Standard Deviation given Coefficient of Variation Percentage?

Standard Deviation given Coefficient of Variation Percentage calculator uses Standard Deviation of Data = (Mean of Data*Coefficient of Variation Percentage)/100 to calculate 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 calculate Standard Deviation given Coefficient of Variation Percentage using this online calculator? To use this online calculator for Standard Deviation given Coefficient of Variation Percentage, enter Mean of Data (μ) & Coefficient of Variation Percentage (CV_%) and hit the calculate button. Here is how the Standard Deviation given Coefficient of Variation Percentage calculation can be explained with given input values -> 2.505 = (1.5*167)/100.

FAQ

What is Standard Deviation given Coefficient of Variation Percentage?

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 and is represented as σ = (μ*CV_%)/100 or Standard Deviation of Data = (Mean of Data*Coefficient of Variation Percentage)/100. Mean of Data is the average value of all the data points in a dataset. It represents the central tendency of the data & Coefficient of Variation Percentage is the coefficient of variation expressed as a percentage.

How to calculate Standard Deviation given Coefficient of Variation Percentage?

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 is calculated using Standard Deviation of Data = (Mean of Data*Coefficient of Variation Percentage)/100. To calculate Standard Deviation given Coefficient of Variation Percentage, you need Mean of Data (μ) & Coefficient of Variation Percentage (CV_%). With our tool, you need to enter the respective value for Mean of Data & Coefficient of Variation Percentage 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 Standard Deviation of Data?

In this formula, Standard Deviation of Data uses Mean of Data & Coefficient of Variation Percentage. We can use 3 other way(s) to calculate the same, which is/are as follows -

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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