# Normal Distribution Calculator

The Normal Distribution is also called the Gaussian distribution. It is a common continuous probability distribution. In statistics, the normal distributions are used to represent real-valued random variables whose distributions are not known. The normal distribution is sometimes informally called the bell curve. The simplest case of a normal distribution is known as the standard normal distribution. Use the below given calculator to for the calculation of normal or guassian distribution of a set of data.

## Normal or Guassian Distributions Calculation

Code to add this calci to your website

** Formula :**
X < mean = M - Z
X > mean = M + Z
Z = (X-M) / σ
**Where,**
M = Mean
σ = Standard Deviation
X = Normal Random Variable

#### Example

**The mean and standard deviation of a data set is 20 and 35. The random variable value is 5. What is its Normal / Guassian Distribution?
**

Here , X = 5, which is less than mean.

Hence, M-Z = 20 - 5 = 15

Z = (5 - 15) / 35

= 0.6659