Well, yes. the mean and standard deviation are not 'linked' for data with a Normal distribution.
Dale Glaser asked: Well, what about the standard normal distribution: N(0,1)? The mean is 0, the standard deviation, 1. If you add the restriction that the data not be less than 0, and allow a severe skew (relax the Normal dist. requirement), then Ken Beath and others showed that yes, certainly, s can be larger than x-bar (or sigma > mu, if you prefer). Since the Poisson distribution _is_ linked, so that the mean equals the variance, then for an equivalent distribution (log-normal?), one sould expect that for mu values less than 1, the sigma (sqrt(var)) will be greater than the mean. Jay Edward Dreyer wrote: > A colleague of mine - not a subscriber to this helpful list - asked me if > it is possible for the standard deviation > to be larger than the mean. If so, under what conditions? > > At first blush I do not think so --------- but then I believe I have seen > some research results in which standard deviation was larger than the mean. > > Any help will be greatly appreciated.. > cheers....ECD > > ___________________________ > > Edward C. Dreyer > Political Science > The University of Tulsa > ________________________ > > ================================================================= > Instructions for joining and leaving this list and remarks about > the problem of INAPPROPRIATE MESSAGES are available at > http://jse.stat.ncsu.edu/ > ================================================================= -- 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 The A2Q Method (tm) -- What do you want to improve today? ================================================================= Instructions for joining and leaving this list and remarks about the problem of INAPPROPRIATE MESSAGES are available at http://jse.stat.ncsu.edu/ =================================================================
