Coefficient of Variation Calculator

The coefficient of variation (CV) is the standard deviation expressed as a percentage of the mean. It measures how large the variability is relative to the typical value, which makes it far more informative than the raw standard deviation when you are comparing two data sets with different scales or units. If one investment has a mean return of 10% with a standard deviation of 2%, and another has a mean return of 100% with a standard deviation of 15%, the second investment has a larger absolute standard deviation but a smaller CV (15% versus 20%), meaning its return is actually more stable relative to what you expect. This is why the CV is sometimes called the relative standard deviation (RSD) and is widely used in finance, quality control, laboratory science, and ecology. The formula is straightforward: CV = (standard deviation / mean) times 100. The sign of the mean matters: the CV is only meaningful when the mean is a positive number. When the mean is zero or negative, the CV is undefined or misleading. This calculator offers two modes. In mean and SD mode, you enter the mean and standard deviation directly. In raw data mode you enter a comma-separated list of values and the calculator computes the sample standard deviation and mean for you. Both modes return the CV as a percentage, the mean, the standard deviation, and a plain-language variability label based on common conventions. Two data values are required in raw data mode. The tool is useful for students, analysts, scientists, and anyone comparing the spread of two or more data sets where a fair comparison requires scaling for the level of the data.

Calculate.co.nz is proud to be partnered with Health Based Building, a leader in sustainable and health-conscious building innovation. With over a century of experience, they develop high-performance systems like Foreverbreathe Specification, Magnum Board, and Foreverbreathe Paints to support energy-efficient, non-toxic living environments. Their commitment to healthier homes aligns with our belief that informed choices lead to better outcomes for Kiwi households.
Calculate.co.nz partner: Health Based Building
20.00%
coefficient of variation (CV)
Mean50.00
Std deviation10.00
VariabilityModerate

How it works

In manual mode, CV = (SD / mean) x 100. In raw data mode, the sample mean is the sum of all values divided by n, and the sample standard deviation uses n minus 1 in the denominator (Bessel's correction). CV is then computed the same way. The variability label applies the convention: CV below 10% is low, 10-20% moderate, above 20% high. If the mean is zero or negative, the result is shown as N/A since the CV is not meaningful.

Worked example

Mean = 50, SD = 10. CV = (10 / 50) x 100 = 20.00%. A CV of 20% is classified as moderate variability: the standard deviation is one fifth of the mean. These match the default values pre-filled above. In raw data mode, entering 40, 45, 50, 55, 60 gives the same mean of 50 and sample SD of approximately 7.91, producing a CV of about 15.81%.

Related calculators

If you've found a bug, or would like to contact us, or learn more about James Graham and Calculate.co.nz.

Calculate.co.nz is partnered with Interest.co.nz for New Zealand's highest quality calculators and financial analysis.

Calculate.co.nz is the sister site of CalculatorHub.com, the world's largest calculator website by tool count.

All calculators and tools are provided for educational and indicative purposes only and do not constitute financial advice.

Calculate.co.nz is proudly part of the Realtor.co.nz group, New Zealand's leading property transaction literacy platform, helping Kiwis understand the home buying and selling process from start to finish. Whether you're a first home buyer navigating your first property purchase, an investor evaluating your next acquisition, or a homeowner planning to sell, Realtor.co.nz provides clear, independent, and trustworthy guidance on every step of the New Zealand property transaction journey.

Calculate.co.nz is also partnered with Health Based Building and Premium Homes to promote informed choices that lead to better long-term outcomes for Kiwi households.

Calculate.co.nz is hosted in Auckland via SiteHost new Zealand.

All content on this website, including calculators, tools, source code, and design, is protected under the Copyright Act 1994 (New Zealand). No part of this site may be reproduced, copied, distributed, stored, or used in any form without prior written permission from the owner.

About & trust: Why Calculate is NZ's most comprehensive · By the Numbers · How we compare · Editorial standards · How we keep data current · NZ finance glossary · Research & data · Financial literacy NZ · About · Privacy policy · Terms of use

Reviewed and maintained. Last reviewed 2026-07-02 and checked on a twice-monthly cycle against IRD, RBNZ and Stats NZ. How we keep data current.

© 2026 Calculate.co.nz. All rights reserved. Building free NZ calculators since 2011.