Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
8-2005
Committee Chair or Co-Chairs
Robert M. Price Jr.
Committee Members
Edith Seier, Robert B. Gardner
Abstract
The interquartile range (IQR) is used to describe the spread of a distribution. In an introductory statistics course, the IQR might be introduced as simply the “range within which the middle half of the data points lie.” In other words, it is the distance between the two quartiles, IQR = Q3 - Q1. We will compute the population IQR, the expected value, and the variance of the sample IQR for various continuous distributions. In addition, a bootstrap confidence interval for the population IQR will be evaluated.
Document Type
Thesis - unrestricted
Recommended Citation
Whaley, Dewey Lonzo, "The Interquartile Range: Theory and Estimation." (2005). Electronic Theses and Dissertations. Paper 1030. https://dc.etsu.edu/etd/1030
Copyright
Copyright by the authors.