Re: Stat problem
- From: David Winsemius <doe_snot@xxxxxxxxxxx>
- Date: Sat, 28 Apr 2007 12:45:08 -0500
anewbie <chayanidh@xxxxxxxxx> wrote in news:1177749690.286300.58130
@n76g2000hsh.googlegroups.com:
I was just wondering if there was any method that I could use to find
the minimum standard deviation of a group of 21 numbers. Given that
min=10, max=90, median=45, Q1=30, Q2=60, mean=45 and mode =35. I have
actually found a number, which I believe is the lowest possible.
However, I have no idea of how to prove that it really is the lowest
one. Any ideas?
Since the count is odd, you know one of the numbers is 45. You have mode
(at least two points), max, and min and maybe the quartile bounds as well
depending on how those are defined.
Because one of your constraints is the mode and all of the values are
integer, the answer probably depends on whether your domain is integer or
real. Since Q2 is the median, also suspect you meant to type Q3=60. Once
you provide further details and corrections of the problem statement,
progress might be possible.
--
David Winsemius
.
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