In this tutorial, a box-and-whisker plot is matched against a series of possible data distributions. The features of each distribution are used to determine whether the box-and-whisker plot accurately represents the data.

The box-and-whisker plot on the left represents the Year 7 NAPLAN Writing scores for 30 students from Example College. We're not showing you the students' scores, but asking you to think about what they might be, given the box-and-whisker plot.

Look carefully at the graphic. The horizontal lines show the data divided into six regions with fixed percentages.

When the top two and bottom two regions are combined, the data are divided into quarters. Note that although they are all of different sizes on the graph, each of these four quarters represents an equal number of student results.

If each blue dot represents a student score for Writing, is the box-and-whisker plot on the left a Possible or Impossible representation of this distribution of results?

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End of Tutorial

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