Normal models

The little demo below generates some random data, plots a density based histogram, and then approximates the histogram with a normal curve. You can fiddle with the parameters and try it again, as well.

The point is that the area of the boxes (and, hence, the proportion of the data in those intervals) are well approximated by the area under the corresponding area under the curve.

Mean: \(\mu = \)
Std-dev: \(\sigma = \)