# skewness

## Definitions

• n. The property of being skew.
• n. 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.

### from The Century Dictionary and Cyclopedia

• n. The character or state of being skew. Specifically: In biometry: The property of exhibiting skew variation. See variation.
• n. The numerical expression of skew variation; asymmetry, measured by the ratio a = D/σ, where D is the distance (mean, mode) and σ is the index of variability.
• n. In mathematics, the degree of disturbance of symmetry in a curve.

• n. an oblique or slanting asymmetry

## Etymologies

Sorry, no etymologies found.

## Examples

• So while I could pass vocabulary quizzes - I understood "skewness" - I was left to guess when questions required computation.

• Economic models suggest that redistribution is a function of the variance and skewness of the pre – tax income distribution, the volatility of income (perhaps because of trade shocks), the social costs of taxation and the expected income mobility of the median voter.

Matthew Yglesias » Krauthammer’s Amateur Sociology

• Those who tend to be instrumental in creating intellectual property do well get paid in the form of good salaries and company options, but the skewness on the side of "professional managerial talent" is downright disturbing and is getting worse.

Ideas and Growth, Arnold Kling | EconLog | Library of Economics and Liberty

• This assumption has been found to be reasonable because of the control of material properties and positive skewness of known load distribution curves.

2009 January - Telic Thoughts

• To get a better picture, it is necessary to calculate the various percentiles (that is 5%, 15%, 50% or the median, 85%, etc.), the variance (the variation observed in the data) and the skewness (the shape of the distribution) among others.

Living in a Third World country (aka The United States)

• The sketchiness of an individual is measured, like the skewness of any given real-valued variable, by the combination of several dimensions of behavior -- communication based on technicality, obfuscation, ambiguity, tonality, diversion, digression, and ratio of chocolate chips to dough.

Jane Pak: Pak's Co-Efficient of Sketchiness

• The sketchiness of an individual is measured, like the skewness of any given real-valued variable, by the combination of several dimensions of behavior.

Jane Pak: Pak's Co-Efficient of Sketchiness

• Over the past thirty-five years, and especially over the past ten, that top-end skewness has greatly increased.

The Height of Inequality

• If the data have a highly skewed distribution then the skewness is lessened by taking logarithms.

Development indicators and indices

• I would guess that a chi square goodness of fit test or a kurtosis/skewness test for normality would not eliminate a Poisson and/or a normal distribution as applying here without the sinusoidal correction.

Paul Linsay's Poisson Fit « Climate Audit

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