# gaussian distribution

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Related to Gaussian Distributions: Gaussian random variable

## nor·mal dis·tri·bu·tion

a specific bell-shaped frequency distribution commonly assumed by statisticians to represent the infinite population of measurements from which a sample has been drawn; characterized by two parameters, the mean (x) and the standard deviation (σ), in the equation:

Synonym(s): gaussian curve, gaussian distribution

## normal distribution

A bell-shaped frequency distribution of data, the plotted curve of which is symmetrical about the mean, indicating no significant deviation of the data set from the mean.Properties of a normal distribution

Continuous and symmetrical, with both tails extending to infinity; arithmetic mean, mode, and median are identical. The curve’s shape is completely determined by the mean and standard deviation.

## gaus·si·an dis·tri·bu·tion

(gow'sē-ăn dis'tri-byū'shŭn)The statistical distribution of members of a population around the population mean. In a gaussian distribution, 68.2% of values fall within ± 1 standard deviation (SD); 95.4% fall within ± 2 SD of the mean; and 99.7% fall within ± 3 SD of the mean.

Synonym(s): bell-shaped curve, normal distribution.

Synonym(s): bell-shaped curve, normal distribution.

## Gaussian distribution

Normal distribution. The distribution of characteristics found in large populations subject to many causes of variability. The graph of the Gaussian distribution of any characteristic (such as body height) is a symmetrical bell shape, centred on the mean. (Johann Karl Friedrich Gauss, 1777–1855, German mathematician).## Gauss,

Johann K.F., German physicist, 1777-1855.**gauss**- a unit of magnetic field intensity.

**gaussian curve**- a specific bell-shaped frequency distribution. Synonym(s):

**gaussian distribution**;

**normal distribution**

**gaussian distribution**- Synonym(s): gaussian curve

## distribution

the arrangement of numerical data. The arrangement may be in accordance with magnitude, a frequency distribution, or in relation to geographical location, a spatial distribution.

**age distribution**

see

**age distribution**.**bimodal distribution**

the distribution has two regions of high frequency of observations separated by a zone of low frequency.

**binomial distribution**

a probability distribution associated with two mutually exclusive outcomes.

**cluster distribution**

a nonrandom distribution with observations aggregating about geographic or temporal variables. May be deceptive and merely reflect the distribution of an uneven population.

**frequency distribution**

a table or graph of the frequency of occurrence of each value of a variable.

**Gaussian distribution**

see normal distribution (below).

**hypergeometric distribution**

may apply to sampling without replacement of a finite population.

**lognormal distribution**

a distribution which is normal when the log values of the variable are considered.

**normal distribution**

a graph of the distribution appears as a bell-shaped curve which is symmetrical on the two sides of the vertical axis through the peak of the curve. Called also gaussian distribution.

**parent distribution**

the distribution (population) that was originally sampled.

**Poisson distribution**

see poisson distribution.

**regular distribution**

distributed at regular intervals of time or space; all values within its given interval are equally likely.

**sex distribution**

an increase in frequency in one sex, which includes neutered males and neutered females. Called also sex-linked or sex-associated.

**skewed distribution**

a distribution in which the curve illustrating it is not symmetrical but has a long tail on one or other side of the graph.

**spatial distribution**

variations in distribution related to position in space, e.g. close to the door of a barn.

*t*-distributionsee t-test.

**temporal distribution**

variation in distribution related to time, e.g. occurrence of disease incidents after visits by veterinarians, inseminators, feed salesmen.

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