Enter the normal random variable (X), mean (μ), and stand deviation (σ) into the standard normal distribution calculator. The calculator will return the standard normal distribution, also known as the z-score.

## Standard Normal Distribution Formula

The following formula is used to calculate the standard normal distribution:

*z* = (*X* – μ) / σ

- Where Z is the standard normal distribution
- X is the normal random variable
- μ is the mean
- σ is the standard deviation

How to calculate the standard normal distribution

**First, determine the normal random variable**Using the information provided or the formula Y = { 1/[ σ * sqrt(2π) ] } * e

^{-(x – μ)2/2σ2}, determine the normal random variable.**Determine the average**Calculate the mean or average of the data set

**Determine the standard deviation**Calculate the standard deviation

**Calculate the z-score**Determine the standard normal distribution using the formula above

## FAQ

**What is a standard normal distribution?**

A standard normal distribution is also known as the z-score. It’s a normal distribution that has a mean of 0 and standard deviation of 1.

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