# Normal Distribution Calculator

An online normal distribution calculator which allows you to calculate the area under the bell curve with the known values of mean and standard deviation. Just enter the input values in this Gaussian distribution calculator to get the results.

## Gaussian Distribution Calculator

An online normal distribution calculator which allows you to calculate the area under the bell curve with the known values of mean and standard deviation. Just enter the input values in this Gaussian distribution calculator to get the results.

Code to add this calci to your website

#### Normal Distribution Formula :

X < mean = M - Z
X > mean = M + Z
Z = (X-M) / σ
**Where,**
M = Mean.
σ = Standard Deviation.
X = Normal Random Variable
**Normal Distribution:**
It is also known as Gaussian or Gauss or Laplace-Gauss Distribution is a common continuous probability distribution used to represent real-valued random variables for the given mean and SD. Normal distributions are used in the natural and social sciences to represent real-valued random variables whose distributions are not known. A random variable with a Gaussian distribution is said to be normally distributed and is called a normal deviate.

Use our **online normal distribution calculator** to find the area above, below or between the bell curve with the known values of mean and standard deviation.

Normal distribution describes the statistical behavior of many real-world events. The simplest case of a Gaussian distribution is known as the standard normal probability distribution. The Gaussian distribution calculator sometimes informally called as bell curve calculator.

#### Example

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

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

Hence, M-Z = 20 - 5 = 15

Z = (5 - 15) / 35

= 0.6659