In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable.

Given a random variable X that exhibits a Gaussian distribution, individual values can be standardized using the following formula: where z is the Z-score, μ is the mean, σ is the standard deviation, and x …

Jul 25, 2025 · Normal Distribution is the most common or normal form of distribution of Random Variables, hence the name "normal distribution." It is also called the Gaussian Distribution in …

Sep 19, 2024 · The probability density function of a standard Gaussian distribution is given by the following formula. Notice that the formula for the standard Gaussian probability density function …

2 days ago · The normal distribution, also called the Gaussian distribution, is a probability distribution commonly used to model phenomena such as physical characteristics (e.g. height, weight, etc.) and …

Apr 29, 2025 · This formula is used for calculating probabilities that are related to a normal distribution. Rather than using this formula to calculate these probabilities directly, we can use a table of values …

Dec 3, 2025 · 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 …

The normal distribution explained, with examples, solved exercises and detailed proofs of important results.

Fewest Assumptions μ value σ2 * A Gaussian makes the fewest assumptions after matching mean and variance. Normal is Beautiful!

The normal distribution equation is the mathematical formula that defines the probability density function (PDF) of a normal distribution, also known as a Gaussian distribution.