# gaussian distribution

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## 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

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