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Ch 6 Siegel
Posted:
Oct 16, 1996 7:22 AM


The first statement in Chapter 6 of _Statistics and Data Analysis_ by Andrew Siegel states the following:
"The mode, median and mean will be exactly equal whenever the distribution is perfectly symmetric."
I disagree with this statement, because I can think of symmetric distributions which are symmetric but where the mode doesn't equal the median or the mode. For example:
1 ***** 2 3 4 *****
This is perfectly symmetric, but the mode is 1 or 4, whereas the median is 2.5 and the mean is 2.5.
I wonder if the sentence should be changed to read "normal" instead of "symmetric".
Any comments?
Thanks
Louise Hilton Bingham High School South Jordan, UT 84095



