# Definitions for **skewness**ˈskyu nɪs

### This page provides all possible meanings and translations of the word **skewness**

### Random House Webster's College Dictionary

skew•ness^{*}ˈskyu nɪs(n.)

asymmetry in a frequency distribution.

**Category:**Statisticsa measure of such asymmetry.

**Category:**Statistics

** ^{*}** Statistics..

#### Origin of **skewness**:

1890–95

### Princeton's WordNet

lopsidedness, skewness(noun)

an oblique or slanting asymmetry

### Wiktionary

skewness(Noun)

The property of being skew.

skewness(Noun)

A measure of the asymmetry of the probability distribution of a real-valued random variable; is the third standardized moment, defined as where is the third moment about the mean and is the standard deviation.

### Freebase

Skewness

In probability theory and statistics, skewness is a measure of the extent to which a probability distribution of a real-valued random variable "leans" to one side of the mean. The skewness value can be positive or negative, or even undefined. The qualitative interpretation of the skew is complicated. For a unimodal distribution, negative skew indicates that the tail on the left side of the probability density function is longer or fatter than the right side – it does not distinguish these shapes. Conversely, positive skew indicates that the tail on the right side is longer or fatter than the left side. In cases where one tail is long but the other tail is fat, skewness does not obey a simple rule. For example, a zero value indicates that the tails on both sides of the mean balance out, which is the case both for a symmetric distribution, and for asymmetric distributions where the asymmetries even out, such as one tail being long but thin, and the other being short but fat. Further, in multimodal distributions and discrete distributions, skewness is also difficult to interpret. Importantly, the skewness does not determine the relationship of mean and median.

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"skewness." *Definitions.net.* STANDS4 LLC, 2014. Web. 23 Apr. 2014. <http://www.definitions.net/definition/skewness>.