### Binomial compared to normal distribution

The binomial distribution changes as n (the sample size) grows. The center
of mass moves to the right, the height of the tallest column decreases and the
distribution flattens out. However, the spreading that occurs is small compared
to the movement of the center of mass. This means that relative to the **mean**
of the distribution, the amount of spreading decreases.

In the display below, we correct for position and spread by adjusting the display
so that center of the picture is the mean and the width is always whatever it
needs to be to include 99% of the distribution. The blue curve that eventually
appears is the curve to which the binomial distribution tends. It is the so-called
"normal" distribution.

This page was made in Fall 1998 by Jim Madden, LSU. Updated, November 13, 2002.

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