### What does **variance** mean?

# Definitions for variance

ˈvɛər i ənsvari·ance

#### This dictionary definitions page includes all the possible meanings, example usage and translations of the word **variance**.

### Princeton's WordNet

discrepancy, variance, variantnoun

an event that departs from expectations

division, variancenoun

discord that splits a group

variancenoun

the second moment around the mean; the expected value of the square of the deviations of a random variable from its mean value

discrepancy, disagreement, divergence, variancenoun

a difference between conflicting facts or claims or opinions

"a growing divergence of opinion"

variability, variableness, variancenoun

the quality of being subject to variation

variancenoun

an official dispensation to act contrary to a rule or regulation (typically a building regulation)

"a zoning variance"

variation, variancenoun

an activity that varies from a norm or standard

"any variation in his routine was immediately reported"

### GCIDE

Variancenoun

(Statistics) The expected value of the square of the deviation from the mean of a randomly distributed variable; the second moment about the mean. This is also the square of the standard deviation.

### Wiktionary

variancenoun

The act of varying or the state of being variable

variancenoun

A difference between what is expected and what happens

variancenoun

The state of differing or being in conflict

variancenoun

A discrepancy, especially between two legal documents

variancenoun

The second central moment in probability

**Etymology:**From variance.

### Wikipedia

Variance

In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value. Variance has a central role in statistics, where some ideas that use it include descriptive statistics, statistical inference, hypothesis testing, goodness of fit, and Monte Carlo sampling. Variance is an important tool in the sciences, where statistical analysis of data is common. The variance is the square of the standard deviation, the second central moment of a distribution, and the covariance of the random variable with itself, and it is often represented by σ 2 {\displaystyle \sigma ^{2}} , s 2 {\displaystyle s^{2}} , Var ( X ) {\displaystyle \operatorname {Var} (X)} , V ( X ) {\displaystyle V(X)} , or V ( X ) {\displaystyle \mathbb {V} (X)} .An advantage of variance as a measure of dispersion is that it is more amenable to algebraic manipulation than other measures of dispersion such as the expected absolute deviation; for example, the variance of a sum of uncorrelated random variables is equal to the sum of their variances. A disadvantage of the variance for practical applications is that, unlike the standard deviation, its units differ from the random variable, which is why the standard deviation is more commonly reported as a measure of dispersion once the calculation is finished. There are two distinct concepts that are both called "variance". One, as discussed above, is part of a theoretical probability distribution and is defined by an equation. The other variance is a characteristic of a set of observations. When variance is calculated from observations, those observations are typically measured from a real world system. If all possible observations of the system are present then the calculated variance is called the population variance. Normally, however, only a subset is available, and the variance calculated from this is called the sample variance. The variance calculated from a sample is considered an estimate of the full population variance. There are multiple ways to calculate an estimate of the population variance, as discussed in the section below. The two kinds of variance are closely related. To see how, consider that a theoretical probability distribution can be used as a generator of hypothetical observations. If an infinite number of observations are generated using a distribution, then the sample variance calculated from that infinite set will match the value calculated using the distribution's equation for variance.

### ChatGPT

variance

Variance is a statistical measurement that represents how much a set of observations differ from each other. More specifically, it is the average of the squared differences from the mean, providing a measure of the data's spread or dispersion. In other words, the greater the variance, the more scattered the data points are.

### Webster Dictionary

Variancenoun

the quality or state of being variant; change of condition; variation

Variancenoun

difference that produce dispute or controversy; disagreement; dissension; discord; dispute; quarrel

Variancenoun

a disagreement or difference between two parts of the same legal proceeding, which, to be effectual, ought to agree, -- as between the writ and the declaration, or between the allegation and the proof

**Etymology:**[L. variantia.]

### Wikidata

Variance

In probability theory and statistics, the variance is a measure of how far a set of numbers is spread out. It is one of several descriptors of a probability distribution, describing how far the numbers lie from the mean. In particular, the variance is one of the moments of a distribution. In that context, it forms part of a systematic approach to distinguishing between probability distributions. While other such approaches have been developed, those based on moments are advantageous in terms of mathematical and computational simplicity. The variance is a parameter describing in part either the actual probability distribution of an observed population of numbers, or the theoretical probability distribution of a sample of numbers. In the latter case a sample of data from such a distribution can be used to construct an estimate of its variance: in the simplest cases this estimate can be the sample variance.

### Chambers 20th Century Dictionary

Variance

vā′ri-ans,

*n.*state of being varied: an alteration: a change of condition: (*law*) a discrepancy: difference that arises from, or produces, dispute.—*n.***Vā′riant**, a different form of the same original word: a different reading, e.g. in a manuscript.—*adj.*diverse, variable, inconstant.—**At variance**, in disagreement.

### Numerology

Chaldean Numerology

The numerical value of variance in Chaldean Numerology is:

**6**Pythagorean Numerology

The numerical value of variance in Pythagorean Numerology is:

**1**

### Examples of variance in a Sentence

Crowding and herding is the big problem with smart-beta, the illusion of being able to permanently depress the risk on equities through smart-beta or minimum-

**variance**strategies has been very, very appealing, and a lot of money has piled in, but that delusion cannot be kept up because it's based on a strategy that doesn't work when the crowd arrives.In general, mega events usually cost more than they bring in for a city government, but there is lots of

**variance**.He has the most

**variance**between risk and reward.Men are using the supplements in a way that is risky both to their physical health and their health in terms of relationships and their own emotional wellbeing, it is an expression, or

**variance**, of eating disorder behavior in these men.Frost belt cities do better because few people visit them in the winter, in general, mega events usually cost more than they bring in for a city government, but there is lots of

**variance**.

### Popularity rank by frequency of use

### References

## Translations for **variance**

### From our Multilingual Translation Dictionary

- rozptylCzech
- VarianzGerman
- varianzaSpanish
- bariantzaBasque
- eripuraisuus, erimielisyys, varianssiFinnish
- varianceFrench
- varianzaItalian
- 分散Japanese
- variantie, onverwacht, afwijkend, contradictorisch, tegenspraakDutch
- wariancjaPolish
- discrepanță, variație, diferență, variere, contradicțieRomanian
- разногласие, противоречие, дисперсия, расхождение, несоответствие, отклоне́ниеRussian
- వైవిధ్యంTelugu
- ความแปรปรวนThai

### Get even more translations for variance »

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