Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: How to combine the standard deviations of multiple data subsets
Replies: 6   Last Post: Nov 23, 2012 1:26 PM

 Messages: [ Previous | Next ]
 Peter Russell Posts: 19 Registered: 12/13/04
Re: How to combine the standard deviations of multiple data subsets
Posted: Oct 4, 1999 5:53 PM

Hi Steve,

You can calculate both the mean of the standard deviations from the sets to
find the mean standard deviation.
If you have variable set size you can weight the deviations.
You can also calculate the mean of all your data points and find a standard
deviation for all these points in the usual way.

Then you have to decide which one you want. To do this you have to think
about why your data was in sets in the first place, what standard deviation
is and what you want to use it for and think about degrees of freedom.

Not a complete answer but hope this helps.

--
PeteR

Steve Schnick <sschnick@yahoo.com> wrote in message
news://7tb2s7\$a0c@ds2.acs.ucalgary.ca...
> If one has several subsets of a given data set, and the mean, count,
> and standard deviations for each of these subsets, how can one
> calculate the combined standard deviation of the data subsets? i.e.,
> if the subsets were lumped together into one set, how does one
> calculate this new standard deviation?
>
> Thanks.
>
>

Date Subject Author
10/4/99 Steve Schnick
10/4/99 Henry
10/5/99 Henry
10/7/99 Jim Clark
10/4/99 Peter Russell
10/4/99 Jerry Dallal
11/23/12 Dave Burton