## What is normal distribution theory?

## What is normal distribution theory?

The normal distribution is a theoretical distribution of values. It is often called the bell curve because the visual representation of this distribution resembles the shape of a bell. It is theoretical because its frequency distribution is derived from a formula rather than the observation of actual data.

**What is the formula for normal distribution?**

For a random variable x, with mean “μ” and standard deviation “σ”, the normal distribution formula is given by: f(x) = (1/√(2πσ2)) (e[-(x-μ)^2]/2σ^2).

### What is a normal distribution of data?

What is Normal Distribution? Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

**What is normal distribution used for?**

We convert normal distributions into the standard normal distribution for several reasons: To find the probability of observations in a distribution falling above or below a given value. To find the probability that a sample mean significantly differs from a known population mean.

## What is normal distribution and why is it important?

The normal distribution is the most important probability distribution in statistics because many continuous data in nature and psychology displays this bell-shaped curve when compiled and graphed.

**What are the uses of normal distribution?**

### Who discovered normal distribution?

Karl Friedrich Gauss

It is also called the “Gaussian curve” after the mathematician Karl Friedrich Gauss. As you will see in the section on the history of the normal distribution, although Gauss played an important role in its history, Abraham de Moivre first discovered the normal distribution.

**Why normal distribution is important?**

As with any probability distribution, the normal distribution describes how the values of a variable are distributed. It is the most important probability distribution in statistics because it accurately describes the distribution of values for many natural phenomena.