The development of statistical literacy at school

Statistical literacy increasingly is considered an important outcome of schooling. There is little information, however, about appropriate expectations of students at different stages of schooling. Some progress towards this goal was made by Watson and Callingham (2005), who identified an empirical 6-level hierarchy of statistical literacy and the distribution of middle school students across the levels, using archived data from 1993-2000. There is interest in reconsidering these outcomes a decade later, during which statistics and probability has become a recognised strand of the Australian mathematics curriculum. Using a new data-set of over 7000 student responses from middle-years students in different parts of Australia during the period 2007-2009, the nature of the hierarchy was confirmed. Longitudinal analysis identified how students performed across time against the hierarchy. Suggestions are made for systems and teachers about realistic expectations for middle-years students, and possible curriculum challenges.