Mean of Data given Coefficient of Variation Calculator

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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.ⓘ Standard Deviation of Data [σ]			+10% -10%
✖Coefficient of Variation is the ratio of the standard deviation to the mean of the data. It expresses the standard deviation as a percentage of the mean.ⓘ Coefficient of Variation [CV]			+10% -10%

✖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 given Coefficient of Variation [Mean]

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Mean of Data given Coefficient of Variation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean of Data = Standard Deviation of Data/Coefficient of Variation
Mean = σ/CV
This formula uses 3 Variables

Variables Used

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.
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.
Coefficient of Variation - Coefficient of Variation is the ratio of the standard deviation to the mean of the data. It expresses the standard deviation as a percentage of the mean.

STEP 1: Convert Input(s) to Base Unit

Standard Deviation of Data: 25 --> No Conversion Required
Coefficient of Variation: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mean = σ/CV --> 25/0.3

Evaluating ... ...

Mean = 83.3333333333333

STEP 3: Convert Result to Output's Unit

83.3333333333333 --> No Conversion Required

FINAL ANSWER

83.3333333333333 ≈ 83.33333 <-- Mean of Data

(Calculation completed in 00.004 seconds)

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< Mean Calculators

Mean of Data given Standard Deviation

LaTeX Go Mean of Data = sqrt((Sum of Squares of Individual Values/Number of Individual Values)-(Standard Deviation of Data^2))

Mean of Data given Coefficient of Variation Percentage

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

Mean of Data given Coefficient of Variation

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

Mean of Data given Median and Mode

LaTeX Go Mean of Data = ((3*Median of Data)-Mode of Data)/2

Mean of Data given Coefficient of Variation Formula

LaTeX Go

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

What is Mean and it's importance?

In Statistics, the most commonly used measure of central tendency is the Mean. The word 'mean' is the statistical term used for the 'average'. The mean can be used to represent the typical value and therefore serves as a yardstick for all observations. For example, if we would like to know how many hours on average an employee spends at training in a year, we can find the mean training hours of a group of employees. One of the main importance of the mean from the other measures of central tendencies is that, mean takes into consideration all the elements in the given data. It calculates the average value of the set of data. It cannot be an accurate measurement for skewed distribution. If the mean is equal to the median, then the distribution is normal.

How to Calculate Mean of Data given Coefficient of Variation?

Mean of Data given Coefficient of Variation calculator uses Mean of Data = Standard Deviation of Data/Coefficient of Variation to calculate the Mean of Data, Mean of Data given Coefficient of Variation formula is defined as the average value of all the data points in a dataset. It represents the central tendency of the data, and calculated using the coefficient of variation of the data. Mean of Data is denoted by Mean symbol.

How to calculate Mean of Data given Coefficient of Variation using this online calculator? To use this online calculator for Mean of Data given Coefficient of Variation, enter Standard Deviation of Data (σ) & Coefficient of Variation (CV) and hit the calculate button. Here is how the Mean of Data given Coefficient of Variation calculation can be explained with given input values -> 13.33333 = 25/0.3.

FAQ

What is Mean of Data given Coefficient of Variation?

Mean of Data given Coefficient of Variation formula is defined as the average value of all the data points in a dataset. It represents the central tendency of the data, and calculated using the coefficient of variation of the data and is represented as Mean = σ/CV or Mean of Data = Standard Deviation of Data/Coefficient of Variation. 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 & Coefficient of Variation is the ratio of the standard deviation to the mean of the data. It expresses the standard deviation as a percentage of the mean.

How to calculate Mean of Data given Coefficient of Variation?

Mean of Data given Coefficient of Variation formula is defined as the average value of all the data points in a dataset. It represents the central tendency of the data, and calculated using the coefficient of variation of the data is calculated using Mean of Data = Standard Deviation of Data/Coefficient of Variation. To calculate Mean of Data given Coefficient of Variation, you need Standard Deviation of Data (σ) & Coefficient of Variation (CV). With our tool, you need to enter the respective value for Standard Deviation of Data & Coefficient of Variation 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 Mean of Data?

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

Mean of Data = ((3*Median of Data)-Mode of Data)/2
Mean of Data = sqrt((Sum of Squares of Individual Values/Number of Individual Values)-(Standard Deviation of Data^2))
Mean of Data = (Standard Deviation of Data/Coefficient of Variation Percentage)*100

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