NormalDensity - The Normal Distribution The normal...

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The Normal Distribution The normal distributions are a very important class of statistical distributions. All normal distributions are symmetric and have bell-shaped density curves with a single peak. To speak specifically of any normal distribution, two quantities have to be specified: the mean , where the peak of the density occurs, and the standard deviation , which indicates the spread or girth of the bell curve. (The greek symbol is pronounced mu and the greek symbol is pronounced sig- ma .) Different values of and yield different normal density curves and hence different normal distributions. Try the applet below for example. You should be able to change the mean and the standard deviation using the sliders and see the density change. Object 1 The normal density can be actually specified by means of an equation. The height of the density at any value x is given by Although there are many normal curves, they all share an important property that allows us to treat them in a uniform fashion.
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