## NORMALDISTRIBUTION

### Normal distribution

In probability theory, the**normal**

**distribution**is a very commonly occurring continuous probability distributionâ€”a function that tells the probability that an observation in some context will fall between any two real numbers. For example, the distribution of grades on a test administered to many people is normally distributed. Normal distributions are extremely important in statistics and are often used in the natural and social sciences for real-valued random variables whose distributions are not known.

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### normal distribution

#### Noun

- Any of a family of continuous probability distributions such that the probability density function is the Gaussian function
- <math>\varphi_{\mu,\sigma^2}(x) = \frac{1}{\sigma\sqrt{2\pi}} \,e^{ -\frac{(x- \mu)^2}{2\sigma^2}} = \frac{1}{\sigma} \varphi\left(\frac{x - \mu}{\sigma}\right),\quad x\in\mathbb{R}</math>

*The above text is a snippet from Wiktionary: normal distribution*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.