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I always liked this visual representation of the central limit theorem: http://blog.vctr.me/posts/central-limit-theorem.html http://blog.vctr.me/posts/central-l
by pspencer 12y ago
I always liked this visual representation of the central limit theorem:
http://blog.vctr.me/posts/central-limit-theorem.html http://blog.vctr.me/posts/central-limit-theorem.html. There is a faster one here (I think written in R): http://vis.supstat.com/2013/04/bean-machine/ http://vis.supstat.com/2013/04/bean-machine/
These are computer simulations of Galton boxes:
http://en.wikipedia.org/wiki/Bean_machine http://en.wikipedia.org/wiki/Bean_machine
- andy_wrote 12y agoI have fond childhood memories of the "Mathematica" exhibit at the Museum of Science in Boston, where there was a large physical copy of one of these machines. Also, "quincunx" is a great word.
- stdbrouw 12y agoAs the comments to that page mention, though, it's not a representation of the central limit theorem at all. It shows how a binomial distribution "becomes" a normal distribution in the long run, but it doesn't show why this would apply to the distribution of errors of a series of sample means.