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

Normal distributions come up time and time again in statistics. A normal distribution has some interesting properties: it has a bell shape, the mean and median are equal, and 68% of the …

Apr 30, 2018 · As with any probability distribution, the normal distribution describes how the values of a random variable are distributed. It is the most important probability distribution in …

Oct 23, 2020 · In a normal distribution, data is symmetrically distributed with no skew. When plotted on a graph, the data follows a bell shape, with most values clustering around a central …

Dec 27, 2025 · Normal distribution is a continuous probability distribution that is symmetric about the mean, depicting that data near the mean are more frequent in occurrence than data far …

Mar 18, 2025 · What Is Normal Distribution, Really? The normal distribution is a symmetric, bell-shaped probability distribution that describes how values cluster around an average. It shows …

Dec 8, 2025 · normal distribution, the most common distribution function for independent, randomly generated variables. Its familiar bell-shaped curve is ubiquitous in statistical reports, …

In general, these are good rules of thumb to determine whether the normality assumption is appropriate: More formally, there are several statistical tests, most notably Pearson's chi …

Assuming that these IQ scores are normally distributed with a population mean of 100 and a standard deviation of 15 points: a random person has a 50% (or 0.50) probability of scoring …

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