# normal distribution

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Related to Normal random variable: Standard normal distribution, normal distribution

## distribution

[dis″trĭ-bu´shun]**1.**the specific location or arrangement of continuing or successive objects or events in space or time.

**2.**the extent of a ramifying structure such as an artery or nerve and its branches.

**3.**the geographical range of an organism or disease.

**frequency distribution**in statistics, a mathematical function that describes the distribution of measurements on a scale for a specific population.

**normal distribution**a symmetrical distribution of scores with the majority concentrated around the mean; for example, that representing a large number of independent random events. It is in the shape of a bell-shaped curve. Called also gaussian distribution. See illustration.

**probability distribution**a mathematical function that assigns to each measurable event in a sample group the probability that the event will occur.

## 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.

## normal distribution

Gaussian distribution, a distribution which when expressed graphically is bell-shaped. The distribution to which many frequency distributions of biological variables, such as height, weight, intelligence, etc correspond.## 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

## nor·mal dis·tri·bu·tion

(nōr'măl dis'tri-byū'shŭn)Specific bell-shaped frequency distribution commonly assumed by statisticians to represent the infinite population of measurements from which a sample has been drawn.

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