Robert MacG. Dawson pretty much said it - a statistical population is not
always obvious.

I use the following with my students:

Population:  The set of all possible measurements under discussion; the part
of the Universe you care about.

By 'possible' we may mean a procedure which cannot in fact be repeated.
Repeated sample selection, however, asks us to assume that the repeat samples
are taken from the same defined population.  "Same" here means 'no effective
change in measured properties.'  See how complex it gets in a hurry?!!  :)

R. MacG. pointed out that the population is the part of the Universe you may
make inferences about.  Usually you wish to estimate a future outcome (sales
next month, % product pass inspection next shift), so it follows that most
populations are infinite - incompletely measurable.

Therefore, any sample you take will be (for these populations) an incomplete
sample. Then the average of the sample, x-bar, estimates the mean of the
population, mu, and the estimated standard deviation, s, estimates the (true)
standard deviation, sigma.  Clearly (I hope!) these entities are not
identical, no matter how much instructors - including me - neglect the
subtleties.

Hope this helps a little at least,

Jay

Mel wrote:

> Hi there,
>
> I am trying to understand the basics of statistics and was needing a brief
> explanation of Population.  To me this terms simply means the gathering of
> data values and the "work" that is involved with this.  Can someone please
> correct me if I am wrong.
>
> Thanks in advance
> Mel
>
> .
> .
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--
Jay Warner
Principal Scientist
Warner Consulting, Inc.
4444 North Green Bay Road
Racine, WI 53404-1216
USA

Ph: (262) 634-9100
FAX: (262) 681-1133
email: [EMAIL PROTECTED]
web: http://www.a2q.com

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