# Convert a Normal Distribution Data to Standard Normal Distribution – Machine Learning Tutorial

By | December 4, 2020

As to a norm distribution data $$X$$, how to convert its distribution to standard normal distribution? In this tutorial, we will introduce you how to do.

## What is Normal Distribution?

Normal Distribution looks like image below:

You can read more detail here:

## How to convert a normal distribution data to standard normal distribution?

As to standard normal distribution, it need the mean of $$X$$ is 0, the variance of it is 1.

We can do like this:

$\hat{X}=\frac{X-\mu}{\sigma}$

where $$\mu$$ is the mean value of $$X$$, the $$\sigma$$ is the standard deviation of $$X$$. $$\hat{X}$$ will be a standard normal distribution.