Coefficient of Variation Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Variation = Standard Deviation of Data/Mean of Data
CV = σ/μ
This formula uses 3 Variables
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.
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 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
Standard Deviation of Data: 7 --> No Conversion Required
Mean of Data: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CV = σ/μ --> 7/10
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 00.005 seconds)

Credits

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Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
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Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Coefficient of Variation Ratio Formula

​LaTeX ​Go
Coefficient of Variation = Standard Deviation of Data/Mean of Data
CV = σ/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 Ratio?

Coefficient of Variation Ratio calculator uses Coefficient of Variation = Standard Deviation of Data/Mean of Data to calculate the Coefficient of Variation, Coefficient of Variation Ratio 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. Coefficient of Variation is denoted by CV symbol.

How to calculate Coefficient of Variation Ratio using this online calculator? To use this online calculator for Coefficient of Variation Ratio, enter Standard Deviation of Data (σ) & Mean of Data (μ) and hit the calculate button. Here is how the Coefficient of Variation Ratio calculation can be explained with given input values -> 0.4 = 7/10.

FAQ

What is Coefficient of Variation Ratio?
Coefficient of Variation Ratio 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 is represented as CV = σ/μ or Coefficient of Variation = Standard Deviation of Data/Mean 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 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 Ratio?
Coefficient of Variation Ratio 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 is calculated using Coefficient of Variation = Standard Deviation of Data/Mean of Data. To calculate Coefficient of Variation Ratio, you need Standard Deviation of Data (σ) & Mean of Data (μ). With our tool, you need to enter the respective value for Standard Deviation 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 Standard Deviation of Data & Mean of Data. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Coefficient of Variation = sqrt(Variance of Data)/Mean of Data
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