normal distribution

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Related to Normal probability distribution: Binomial probability distribution


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.
 Normal distribution. The approximate percentage of the area (or frequency) lying under the curve between standard deviations is indicated. From Dorland's, 2000.
probability distribution a mathematical function that assigns to each measurable event in a sample group the probability that the event will occur.
Miller-Keane Encyclopedia and Dictionary of Medicine, Nursing, and Allied Health, Seventh Edition. © 2003 by Saunders, an imprint of Elsevier, Inc. All rights reserved.

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:
Farlex Partner Medical Dictionary © Farlex 2012

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.
Segen's Medical Dictionary. © 2012 Farlex, Inc. All rights reserved.

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.
Medical Dictionary for the Health Professions and Nursing © Farlex 2012

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.
Collins Dictionary of Medicine © Robert M. Youngson 2004, 2005


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
Medical Eponyms © Farlex 2012

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.
Medical Dictionary for the Dental Professions © Farlex 2012
References in periodicals archive ?
For the normal probability distribution the dispersion of the stochastic process will be equal to D = 6[sigma].
Table 2 Cumulative Absolute Forecasting Errors from MA(1), MA(3), MA(5), MA(7), MA(9) for the Normal Probability Distribution with c.v.
There is no normal probability distribution that provides an appraiser with a reasonable confidence interval.
of Alabama) makes sure students understand why they are making decisions about statistical design and analysis as he covers organizing data, creating charts and graphs, measuring averages and dispersion, handling probability theory and the normal probability distribution, using probability theory to produce sampling distributions, estimating parameters using confidence intervals, testing hypotheses, comparing the means of two groups by using the f-test for bivariate relationships, analyzing variance experiences amongst three or more groups, figuring nominal variables through the chi-square and binomial distributions, and performing bivariate correlation and regression.
The text begins with basics such as binomial, Poisson, and normal probability distributions, then progresses to more advanced topics such as log normal probability distributions, error functions, and logit transforms.
Here function p is assumed to be simply the sum of the assets p = [A.sub.1] + [A.sub.2] + [A.sub.3], and probability distributions [D.sub.i] are represented by Normal probability distributions [N.sub.i].
With the help of statistical data and experts valuations it was determined that investment of 1 Lt into means of avoiding losses under separate risk types (here--under separate components of structure) should guarantee effects, described by Normal probability distributions of effect possibilities, namely: