Properties of the Normal Distribution Curve

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One of the most widely used curves in statistice 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 Tutorial Using Java Applet

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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.

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