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Compute the sample or population variance of a data set.
Results update as you type.
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standard deviation is the average of the squared deviations from the mean and is the square of the standard deviation. This calculator gives the sample variance (sum of squared deviations divided by n − 1) or the population variance (divided by n), along with the standard deviation, mean, range and sum of squared deviations. Variance is expressed in squared units, which is why it is usually easier to interpret. Variance is always non-negative and gives extra weight to values that lie far from the mean. Squaring is what makes variance always non-negative and gives extra weight to values that lie far from the mean. The standard deviation is the average of the squared deviations from the mean and is the square of the standard deviation. This calculator gives the sample variance (sum of squared deviations divided by n − 1) or the population variance (divided by n), along with the standard deviation.ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked example:ToWorked
Tambayoyi da ake yi da yawa
Ta yaya bambanci yake danganta da daidaitacce?
The standard deviation is the square root of the variance. Variance is in squared units (for example, squared dollars), while the standard deviation is back in the original units, so the two always describe the same spread.
Yaushe zan yi amfani da n a kan n − 1?
Divide by n − 1 when your data is a sample used to estimate a larger population; divide by n when your data represents the whole population you care about.
Me yasa ake amfani da bambanci a cikin rundunonin kwance?
Because each deviation is squared before averaging, the result carries the square of the original unit — squared dollars, squared centimetres and so on. That makes variance awkward to interpret directly, which is why its square root, the standard deviation, is reported alongside it.
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No. It is an average of squared numbers, so it is always zero or positive. A variance of exactly zero means every value in the set is identical.
What is the difference between variance and standard deviation?
They describe the same spread but on different scales: variance is the average squared deviation, and standard deviation is its square root, back in the original units. If the variance is 25, the standard deviation is 5.
Ta yaya ake amfani da bambanci a cikin nazarin gaskiya?
Yanayin ya dogara ne akan haɗari a cikin kudi, ƙarfin alamar a cikin injiniya da kuma F-taswirar a cikin ANOVA, inda ake kwatanta bambanci tsakanin ƙungiyoyi da bambanci a cikinsu don yanke shawara ko matsakaicin ƙungiya ya bambanta da gaskiya.
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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/variance/curl
curl "https://calculator.free/api/v1/variance/?numbers=12, 15, 17, 20, 22, 25&type=sample"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/variance/?" + new URLSearchParams({
"numbers": "12, 15, 17, 20, 22, 25",
"type": "sample"
}));
const data = await r.json();
console.log(data.results);Results are estimates for general guidance only, not financial, medical or tax advice.