Z-Scores (As a Descriptive Measure of Relative Standing)
An introduction to z-scores as a descriptive measure of relative standing. (I don't do any probability calculations in this video.) I do a simple calculation example, discuss the empirical rule in the context of z-scores, and illustrate what the z-score tells us about how large or small an observation is.
The mean and standard deviation of the heights of American males is based on information from:
McDowell MA, Fryar CD, Ogden CL, Flegal
KM. Anthropometric reference data for children
and adults: United States, 2003-2006.
National health statistics reports; no 10.
Hyattsville, MD: National Center for Health
Statistics. 2008.
(The mean is taken directly from this document, and the standard deviation is estimated based on the given percentiles.)