The normal distribution is a theoretical distribution that idealizes many distributions like the one in Figure 3-20. It is also called the bell shape curve or the Gaussian distribution, after its discoverer, Carl Friedrich Gauss (1777-1855).
The shape of the normal distribution is the graph of the following function:
Here, m is the mean and s is the standard deviation. The symbols e and are a mathematical constant: e = 2.7182818 and = 3.14159265. This function is called the density function for the (theoretical) distribution.
Note the distinction between the four symbols , s, m, and s. The first two are computed from the actual sample values; the second two are parameters used to define a theoretical distribution.