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Measure relative variability as the ratio of standard deviation to mean.
Results update as you type.
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you want to compare the variability of data sets that have very different means or units — you can put the consistency of a set of body weights next to a set of exam scores even if they share no units. This calculator uses the sample or population standard deviation you choose, divide it by the mean of the data and flags whether the relative variability is low, moderate or high (below about 15%, between 15% and 30%, or above 30% here). The CV is widely used in finance to compare investment risk per unit of return and in the lab to judge the precision of repeated measurements.The formula is simply CV = (standard deviation ÷ mean) × 100. This calculator uses the sample or population standard deviation.The CV is widely used in finance to compare investment risk per unit of return and in the lab to judge the precision of repeated measurements.Worked example: for 10, 12, 14, 16, 18 the mean is 14 and the sample standard deviation is about 3.16, so the coefficient of variation is 3.16 ÷ 14 × 100%The Worked example: for 10, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73
Tambayoyi da ake yi da yawa
Mẽne ne babban ma'aunin canji?
There is no universal cutoff, but a CV below about 15% is often considered low (consistent) variability and above 30% relatively high. Always judge it against typical values for your field.
Yaushe ne ma'aunin canji bai da amfani?
The CV is unreliable when the mean is near zero, because dividing by a tiny mean makes it explode, and it is not meaningful for data with negative values or data that lacks a true zero point, such as temperatures in Celsius.
Ta yaya zan ƙididdige ma'aunin bambanci?
Divide the standard deviation by the mean and multiply by 100 to state it as a percentage. For a mean of 14 and a standard deviation of 3.16, the CV is 3.16 ÷ 14 × 100% ≈ 22.6%.
QXml
The standard deviation is tied to the units and scale of the data, so you cannot fairly compare the spread of prices in dollars with the spread of heights in centimetres. Dividing by the mean removes the units, letting you compare relative consistency across completely different data sets.
Is the coefficient of variation the same as relative standard deviation?
Yes. Relative standard deviation (RSD) is another name for the coefficient of variation expressed as a percentage; the two terms are interchangeable.
Shin, zan iya amfani da misali ko kuma al'ada na jama'a?
Use the sample option when your numbers are a subset drawn from a larger group, and the population option when they are the whole group. The choice changes the standard deviation slightly and therefore the CV, especially for small data sets.
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[Translation temporarily unavailable. Please try again.] Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. [Translation temporarily unavailable. Please try again.] →
Endpoint
GET https://calculator.free/api/v1/coefficient-of-variation/curl
curl "https://calculator.free/api/v1/coefficient-of-variation/?numbers=10, 12, 14, 16, 18&type=sample"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/coefficient-of-variation/?" + new URLSearchParams({
"numbers": "10, 12, 14, 16, 18",
"type": "sample"
}));
const data = await r.json();
console.log(data.results);Results are estimates for general guidance only, not financial, medical or tax advice.