Instead, I'm going to take a different approach here. I'm going to wave my arms a lot, and give you enough examples to convince you that the normal distribution is not only correct, but is inevitable.

In a normal distribution, 68% of all data fall between -1 and +1 standard deviations of the mean, 95% fall within two standard deviations, and 99.7% fall within three standard deviations.

Figure 1 shows the distribution of each roll, with the resulting distribution of the average when the process is repeated 10, 50, and 500 times. Note that the uniform nature of the distribution of ...

Nonparametric statistics do not assume that data is drawn from a normal distribution. Instead, the shape of the distribution is estimated under this form of statistical measurement. While there ...

H. S. Steyn, On the Multivariate Poisson Normal Distribution, Journal of the American Statistical Association, Vol. 71, No. 353 (Mar., 1976), pp. 233-236 ...

The International Biometric Society is an international society for the advancement of biological science through the development of quantitative theories and the application, development and ...

Select "Normal" from the "Distribution" drop-down list, and then enter "2000" for Mean and "500" for Standard deviation. Click the "Output Range" button, and then enter "C2" in the parameter box.