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normal distribution
normal distributionn. A theoretical frequency distribution for a random variable, characterized by a bell-shaped curve symmetrical about its mean. Also called Gaussian distribution.normal distribution n (Statistics) statistics a continuous distribution of a random variable with its mean, median, and mode equal, the probability density function of which is given by (exp-[(x–μ)2/2σ2]/σ√(2π)) where μ is the mean and σ2 the variance. Also called: Gaussian distribution nor′mal distribu′tion
n. a theoretical frequency distribution represented by a normal curve. Also called Gaussian distribution. Thesaurus| Noun | 1. | normal distribution - a theoretical distribution with finite mean and varianceGaussian distributiondistribution, statistical distribution - (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrencestatistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters |
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. 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.nor·mal dis·tri·bu·tiona 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 distributionnormal 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. 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 distributiongaussian distribution - Synonym(s): gaussian curvenor·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. LegalSeedistributionNormal Distribution
Normal DistributionThe well known bell shaped curve. According to the Central Limit Theorem, the probability density function of a large number of independent, identically distributed random numbers will approach the normal distribution. In the fractal family of distributions, the normal distribution only exists when alpha equals 2, or the Hurst exponent equals 0.50. Thus, the normal distribution is a special case which in time series analysis is quite rare. See: Alpha, Central Limit Theorem, Fractal Distribution.Bell CurveA curve on a chart in which most data points cluster around the median and become less frequent the farther they fall to either side of the median. When plotted on a chart, a bell curve looks roughly like a bell.normal distribution
Related to normal distribution: Poisson distribution, binomial distribution, Standard normal distributionSynonyms for normal distributionnoun a theoretical distribution with finite mean and varianceSynonymsRelated Words- distribution
- statistical distribution
- statistics
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