# Graphs of the Normal Distribution Curve

__Normal Distribution Function__

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

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

__Interactive Tutorials__

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

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

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

4 - A **standard normal distribution** is a normal distribution given by function f above with ? = 0 and ? = 1. Set ? = 0 and ? = 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.