Financial Calculators

Calculate The Coefficient Of Variation

Calculate the coefficient of variation to compare two sets of data with different units of measurement

Calculate the coefficient of variation

Dataset type
Mean (μ)
Standard deviation (σ)
Coefficient of variation
%
made with ❤️ by

Table of contents

What is the coefficient of variation?
Can you tell me when I might need to use this as an adult?

What is the coefficient of variation?

The coefficient of variation is a statistical measure that indicates the amount of variation or dispersion relative to the mean of a dataset. In other words, it is a way to compare the variability of two or more datasets that may have different units or scales.
To calculate the coefficient of variation, you first find the standard deviation of the dataset, then divide it by the mean of the dataset, and finally multiply by 100 to express the result as a percentage.
Here's an example: imagine you have two jars of jelly beans, one with 100 jelly beans and the other with 500 jelly beans. You count the jelly beans in each jar and find that the first jar has a mean of 50 jelly beans and a standard deviation of 10 jelly beans, while the second jar has a mean of 250 jelly beans and a standard deviation of 50 jelly beans.
To compare the variability of the two jars using the coefficient of variation, you would first calculate the coefficient of variation for the first jar as follows:
Coefficient of variation = (standard deviation / mean) x 100 Coefficient of variation = (10 / 50) x 100 Coefficient of variation = 20%
And then calculate the coefficient of variation for the second jar as follows:
Coefficient of variation = (standard deviation / mean) x 100 Coefficient of variation = (50 / 250) x 100 Coefficient of variation = 20%
Notice that both jars have the same coefficient of variation, even though the second jar has a much larger absolute variation than the first jar. This is because the coefficient of variation accounts for the variability relative to the mean, not the absolute variability.
Another example could be comparing the variability of the heights of two groups of people, such as professional basketball players and preschool children. In this case, you would first collect data on the heights of the two groups, calculate their means and standard deviations, and then use the coefficient of variation to compare their variability relative to their respective means.
Overall, the coefficient of variation is a useful measure for comparing the variability of two or more datasets that may have different scales or units.

Can you tell me when I might need to use this as an adult?

It doesn't seem like I would ever use this
The coefficient of variation can be used in various fields and situations, including:
  • Finance: The coefficient of variation can be used to measure the risk of an investment portfolio. A portfolio with a high coefficient of variation is considered to be riskier than one with a low coefficient of variation.
  • Quality control: The coefficient of variation can be used to measure the variability of product quality. A manufacturing process with a low coefficient of variation produces consistent quality products, whereas a high coefficient of variation indicates that there is a lot of variation in the quality of the products.
  • Biostatistics: The coefficient of variation is commonly used to compare the variation of different biological samples. For example, the coefficient of variation can be used to compare the variability of blood pressure measurements between different groups of people.
  • Sports: The coefficient of variation can be used to compare the consistency of a player's performance in different games or seasons. For example, the coefficient of variation can be used to compare the consistency of a soccer player's goal-scoring ability in different seasons.
  • So, while the coefficient of variation may not be used in everyday life, it can be useful in a wide range of professional and academic fields.
    John Cruz
    Article author
    John Cruz
    John is a PhD student with a passion to mathematics and education. In his freetime John likes to go hiking and bicycling.
    Calculate The Coefficient Of Variation English
    Published: Sun Apr 02 2023
    In category Financial calculators
    Add Calculate The Coefficient Of Variation to your own website

    Other financial calculators

    Monthly Salary To Hourly Salary Calculator (pay Calculator)

    Calculate what you earn per hour easily with our calculator! You also learn the important differences between hourly and monthly salary payments!

    Pay Raise Calculator

    Calculate your new salary after pay raise easily with our online pay raise calculator!

    Consumer Surplus Calculator (consumer Surplus Formula)

    Calculate instantly consumer surplus with our online economic calculator!

    Salary Calculator

    The Salary Calculator converts salary amounts into their equivalent values based upon payment frequency.

    Car Loan Calculator

    This is a free calculator that calculates the monthly loan payment of an auto loan. Works with new and used cars!

    Discount Calculator

    Using this online calculator, you can figure out the final price after applying any discounts.

    Cryptocurrency Profit Calculator

    This calculator helps you to see how much money and profit you have made from your investments.

    Ethereum (ETH) Profit Calculator

    Calculate the profits of your Ethereum investments easily with this free investment calculator.

    Dogecoin (DOGE) Profit Calculator

    Calculate the profits of your Dogecoin investments easily with this free investment calculator.

    Bitcoin (BTC) Profit Calculator

    Calculate your investment profits of Bitcoin easily with this free investment calculator.

    Return On Equity Calculator

    This ROE calculator allows you to quickly calculate ROE (return-on-equity) based upon the net income generated as well as the total equity of the company/project.

    Mortgage Calculator

    This is a free tool that will calculate your monthly mortgage payment.

    Ripple (XRP) Profit Calculator

    Calculate the profits of your XRP investments with this free profit calculator.

    Bitcoin Cash (BCH) Profit Calculator

    Calculate the profits for your BCH investments easily with this free investment calculator.

    Litecoin (LTC) Profit Calculator

    Calculate the profits of your LTC investments easily with this free investment calculator.

    Binance Coin (BNB) Profit Calculator

    Calculate the profits of your BNB investments easily with this free investment calculator.

    Equivalent Annual Cost Calculator

    Use this free online tool to calculate the equivalent annual cost, which is a measure of the true cost of owning an asset over its lifetime.

    Annual Income Calculator

    This is an online tool is that calculates how much money you make in a year.

    Return On Investment (ROI) Calculator

    This is a calculator that helps you figure out how much money you will make from an investment.

    Car Depreciation Calculator

    This calculator calculates the cost of depreciation for your car. Estimate the car's value once it has been used.

    Interest Calculator

    Our interest calculator allows you to calculate the interest payments and final balances for not only fixed principal amounts but also periodic contributions.

    CAPM Calculator

    Use this CAPM calculator to explain the relationship between the expected return and the risk of security.

    Financial Markup Calculator

    The markup calculation calculator is a tool for businesses that calculates your sales price.

    Home Loan Calculator (EMI)

    This home loan calculator is free and will allow you to calculate your Home Loan EMI quickly.

    PPF (Public Provident Fund) Calculator

    This financial tool allows you to resolve your queries about the Public Provident Fund account.

    Mutual Funds Returns Calculator

    With this free tool you can calculate the return on investment on mutual funds!

    SIP (systematic Investment Plan) Calculator

    SIP calculators allow individuals to quickly calculate the potential returns of their mutual fund  investments made via SIP.

    CAGR Calculator (compond Annual Growth Rate)

    If you want to estimate the potential return from an investment, the CAGR calculator is the tool for you!

    Ponderal Index Calculator

    This ponderal Index Calculator will provide a more accurate measurement than Body Mass Index.

    Cap Rate Calculator

    The cap rate, also known as the capitalization rate calculator is a tool that anyone who is interested in real property can use.

    Stock Average Calculator (cost Basis)

    This stock average calculator will allow you to calculate the stock price or the average price at which you purchased your stocks.

    Investment Calculator

    You can use the Investment Calculator to calculate a particular parameter for your investment plan. The tabs indicate the parameter to be calculated. To calculate the return rate required to reach a certain investment goal using particular inputs click on the Return Rate tab.

    Reverse Stock Split Calculator

    This remarkable tool will calculate a stock's new value after a reverse stock splitting.

    Electricity Cost Calculator

    The electricity cost calculator allows consumers to estimate their annual electricity costs in an easy-to-use way.

    Common Rent Split Calculator

    This calculator will quickly and efficiently calculate the fair rental amount for each member of your rental unit.

    Commission Calculator

    This online calculator will calculate the percentage-based remuneration.

    Future Value Calculator

    The Future Value Calculator is a smart tool that will quickly calculate the value of any investment at any given moment in the future.

    Startup Valuation Calculator

    The post and pre-money valuation calculator simplifies the math so you can focus on more important tasks when you're negotiating startup valuation.

    Hedge Ratio Calculator For Investments

    This calculator will help you determine the percentage of your investment portfolio that has been hedged against investment risk.

    Sinking Fund Calculator

    The sinking fund calculator helps you to determine how much you need to put aside in order for you to achieve your goal within the specified time.

    Recurring Deposit (RD) Calculator

    The RD Calculator (recurring deposit) can help you determine the maturity value for your RD Investment Account if it grows at a set interest rate and over a certain amount of time.

    Lease Calculator

    Our lease calculator will help you to determine the monthly, and total payment for a lease.

    Debt To Income Ratio Calculator

    The debt to income calculator, or DTI calculator for short, is an invaluable tool for anyone who has taken out any type of loan. This calculator will show you how much debt you have and whether you can afford another loan.

    Payback Period Calculator

    The payback period calculator allows you to estimate how long it will take to make a profit on an initial investment.

    Earnings Per Share (EPS) Calculator

    This tool will guide you in calculating your earnings per share. It also provides you with an exact formula for calculating your EPS.

    Moment Of Inertia Calculator

    The moment-of-inertia calculator can be used to assist you if you are having trouble determining the second instant of area for any common shape (such as a round or a hexagon).

    Future Value Of Annuity Calculator

    The Future Value of Annuity Calculator can be used to find the future value of a set of equal cash flows at a particular date.

    Annual Percentage Yield

    The APY Calculator can be used to calculate how much interest you will earn on an investment made over the course of a year.

    Margin Calculator

    If you're looking to maximize your margins, this calculator will be your best friend. You can calculate the revenue from an item if you know its price and your preferred profit margin percentage.

    Crore To Lakh Converter

    The crore to lakh converter is a handy tool that allows you to convert any number into crores or lakhs.

    Boat Loan Calculator

    This tool will assist you in estimating monthly payments as well as calculating the total price for your dream boat financing.

    Bond Price Calculator

    We aim to help you calculate the bond prices issued by a government or a corporation with this bond price calculator.

    Time And A Half Calculator

    With our time and a half calculator, you can easily find the overtime rates for time and a half, double pay, and triple pay.

    FIRE Calculator - Calculate Early Retirement

    FIRE Calculator — Financial Independence, Retire Early

    Percent Yield Calculator

    The percent-yield calculator will assist you in understanding how percent yield and also show you the percentage yield formula, as well as the definition.

    Diversification Calculator

    Credit Card Payment Calculator

    Calculate your credit card payments easily with our free tool

    Calculate Your Current Ratio Of Assets To Liabilities

    Calculate your current ratio for finance and business!

    Credit Score Calculator

    Try our free and easy to use credit score calculator. Use it to estimate what your FICO credit score might be.

    Dividend Payout Ratio Calculator

    Common Equity Tier 1 (CET1)

    Cost Of Living Calculator To Understand Your Monthly Budget!

    Figure out if you will save or owe money each month with our monthly budget calculator

    Calculate How Much Capital Gains Tax You Will Owe With This Simple Calculator

    Calculate how much capital gains tax you will owe with this simple calculator