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Topic: Ch 6 Siegel
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Louise Hilton

Posts: 10
Registered: 12/6/04
Ch 6 Siegel
Posted: Oct 16, 1996 7:22 AM
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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





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