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Mathematical Sciences Colloquium Series Friday (September 15, 2006) 3:00pm WA 103A Dr. Gary Kader Professor Mathematical Sciences Appalachian State University Title: Variability in Categorical Data Abstract: A measure of variability depends on the concept of variability. Research has shown that for many students "unalikeability" is a more natural concept than "variation about the mean." A "coefficient of unalikeablity" is proposed to measure this type of variability. Variability in categorical data is different from variability in quantitative data. In this presentation the coefficient of unalikeability is adapted as a measure of variability in categorical data. This coefficient has a well-defined interpretation, whereas the standard deviation for categorical data does not. There are some useful lessons here for teachers of statistics and their students, especially those who might themselves become teachers. Please encourage all of your upper level students (especially those in statistics courses) to attend.