Distribution of sample vaiance

From: Stig Holmquist (stigfjorden_at_hotmail.com)
Date: 09/29/04 

Date: Wed, 29 Sep 2004 17:32:03 -0400

The distribution of sample variances obej a chi-square formula if the
population is normal. But suppose the population is uniform, such as
in a lotto game.
Specifically, consider the Powerball game, in which one picks 5
numbers out of 53 without replacement. Then one can determine the
variance within the set. There are nearly 3 million different sets of
five numbers that can be drawn. Each set has a variance. What kind of
distribution will all nearly 3 million variances exhibit and what
shoud be its wean and std.dev.? Has this problem been treated in any
textbbok and if so, please make a reference?

Stig Holmquist

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