Graph of the Normal Distribution Curve

Graphs of the Normal Distribution Curve

Normal Distribution Function

One of the most widely used curves in statistics is the normal curve given by

normal distribution curve equation

where μ is the population mean and σ is the population standard deviation. This tutorial is about exploring the properties such as shape and position of the graph of f as μ and σ are changed.

Interactive Tutorials



μ =
-10+10

σ =
>0+5

>


1 - Click on the button above to start the applet.

2 - Use the sliders to set μ = 0 and change σ. How does σ affect the graph of function f?

3 - Use the sliders to set σ = 1 and change μ. How does μ affect the graph of function f?

4 - A
standard normal distribution is a normal distribution given by function f above with μ = 0 and σ = 1. Set μ = 0 and σ = 1 to obtain a standard normal distribution and take note of its properties such as symmetry with respect to y axis.

More References and links

statistics tutorials.