**comparing box plot
distributions:**

A
teacher’s reasoning

Maxine Pfannkuch

The University of

m.pfannkuch@auckland.ac.nz

ABSTRACT

Drawing conclusions from the comparison of datasets using informal statistical inference is a challenging task since the nature and type of reasoning expected is not fully understood. In this paper a secondary teacher’s reasoning from the comparison of box plot distributions during the teaching of a Year 11 (15-year-old) class is analyzed. From the analysis a model incorporating ten distinguishable elements is established to describe her reasoning. The model highlights that reasoning in the sampling and referent elements is ill formed. The methods of instruction, and the difficulties and richness of verbalizing from the comparison of box plot distributions are discussed. Implications for research and educational practice are drawn.

Keywords: Statistics education research;
Box plots; Distributional reasoning; Secondary statistics teaching; Informal
statistical inference

**__________________________**

*Statistics Education Research
Journal, 5(2), 27-45, http://www.stat.auckland.ac.nz/serj*

*Ó International Association
for Statistical Education (IASE/ISI), November, 2006*

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Maxine Pfannkuch

Department of Statistics

The

Private Bag 92019

Auckland, New Zealand