Use of the arithmetic mean: An investigation of four properties issues and preliminary results


Authors: 
Leon, M. R., & Zawojewski, J. S.
Editors: 
Vere-Jones, D., Carlyle, S., Dawkins, B. P.
Type: 
Category: 
Pages: 
302-306
Year: 
1991
Publisher: 
International Statistical Institute
Place: 
Voorburg, Netherlands
Abstract: 

Our investigation utilised Strauss and Bichler's conceptual organisation of the properties of the mean, and had three purposes: (1) to investigate what happens developmentally to those statistical properties that were not mastered by age 12-14; (2) to examine the qualities of the statistical properties, including their relative conceptual difficulty and their relative ability to evoke the concept of the mean; and (3) to determine the relative effectiveness of different testing formats in assessing subjects' knowledge about the component properties of the mean.

The CAUSE Research Group is supported in part by a member initiative grant from the American Statistical Association’s Section on Statistics and Data Science Education