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In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form. and with parametric extension for arbitrary real constants a, b and non-zero c. It is named after the mathematician Carl Friedrich Gauss. The graph of a Gaussian is a characteristic symmetric "bell curve" shape.
In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable. The general form of its probability density function is
The Gaussian distribution, so named because it was first discovered by Carl Friedrich Gauss, is widely used in probability and statistics. This is largely because of the central limit theorem , which states that an event that is the sum of random but otherwise identical events tends toward a normal distribution, regardless of the distribution ...
Oct 11, 2023 · A bell-shaped curve, also known as a normal distribution or Gaussian distribution, is a symmetrical probability distribution in statistics. It represents a graph where the data clusters around the mean, with the highest frequency in the center, and decreases gradually towards the tails.
Gaussian distribution. Related Topics: distribution function. standard normal distribution. normal distribution, the most common distribution function for independent, randomly generated variables. Its familiar bell-shaped curve is ubiquitous in statistical reports, from survey analysis and quality control to resource allocation.
- The Editors of Encyclopaedia Britannica
Apr 23, 2022 · The normal distribution is the most important and most widely used distribution in statistics. It is sometimes called the "bell curve," although the tonal qualities of such a bell would be less than pleasing. It is also called the "Gaussian curve" after the mathematician Karl Friedrich Gauss.
6 days ago · While statisticians and mathematicians uniformly use the term "normal distribution" for this distribution, physicists sometimes call it a Gaussian distribution and, because of its curved flaring shape, social scientists refer to it as the "bell curve."
