A version of the central limit theorem is presented that allows the study of the rate of convergence to the normal probability density of the average of independent identically distributed random variables. Particular emphasis is put on the effect due to the asymmetry of the probability density of the variables. An example is worked out that gives a convincing visual display of the theorem and its convergence.

This content is only available via PDF.
AAPT members receive access to the American Journal of Physics and The Physics Teacher as a member benefit. To learn more about this member benefit and becoming an AAPT member, visit the Joining AAPT page.