For what it's worth, it occurs to me (1) figures with the probability curves in red (with black or gray for the box) would "read" better, and (2) it could be nice to post some lines of Octave so that people can "try it at home". I'm sure there are other ways to improve this page. I'll get around to the stuff above eventually. Wile E. Heresiarch 02:41, 6 Apr 2004 (UTC)

I have removed this: (An excellent companion article would be an example in which the central limit theorem does not apply, or at least shows much slower convergence.). Page requests do not belong in articles, hence I have included it here.

I have never heard of Octave so I am guessing it is fairly rare. The "try it at home" issue could be addressed but the theorem applies to convolution irrespective of discrete computable convolution. Might be better to include in C or C++ or even VB. Better yet include a Java version so people can just use their web browser :) Mat-C 20:07, 29 May 2004 (UTC)

Error on the page!

The standard deviation of the tested distribution is definitely not 1. As a result, the first sentence of the second paragraph for each chart has to be changed or removed. The graphs, however, appears to be correct.

Unfortunately, the exact value of the standard deviation is hard to guess from the graph, so I can't just correct it. (I tried to replicate the distribution, and the standard deviation is somewhere between 0.4 and 0.5.)

Could the author of the graphs correct the text, please?

Hmm, yes, you're right. I'll redraw the figures. I'd like to make the figures have red lines on black & white to make them easier to see anyway. I'll try to fix up the figures in the next few days. In the meantime I'll just cut out the mistaken statement about the standard deviation. Wile E. Heresiarch 19:09, 12 Oct 2004 (UTC)

I've redrawn the figures so that all four have mean 0 and std deviation 1. Also, image:central limit thm 1.png has a list of the Octave commands used to generate the figures. (Should also work in Matlab, except the plotting commands are probably different.) Hope this helps, Wile E. Heresiarch 15:29, 14 Oct 2004 (UTC)