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Abstract
This paper discusses a concept that we call “m-tile means,” which are the arithmetic mean of data values that break a data set into m−1 equal parts. Studying m-tile means can engage students’ critical thinking skills and demonstrate the concepts underlying commonly used measures of central tendency, and so they are useful for student projects and accessible statistics discussion.
Additional information
Notes on contributors
Ryan Savitz
Ryan Savitz is a professor of mathematics at Neumann University. He earned his Ph.D. from Touro University International in 2006. He teaches classes ranging from introductory statistics, to mathematical statistics, to calculus. His research interests include the pedagogy of mathematics and business applications of statistics.
Fred Savitz
Dr. Fred Savitz teaches undergraduate and graduate education courses at Neumann University in social studies and science pedagogy. He also chairs doctoral dissertation committees and mentors doctoral students in research methodology. Dr. Savitz is the recipient of the Lindback Award for Distinguished Teaching.
David DiMarco
David DiMarco is an associate professor of mathematics at Neumann University. He earned his Ph.D. in mathematics from the Stevens Institute of Technology. His research interests range from graph theory to statistics.
Blane Hollingsworth
Blane Hollingsworth received his Ph.D. in 2008 from Auburn University. He currently is a visiting scholar/adjunct faculty member at Indiana University.