VC2M7ST02 Official strand: Statistics

Create and compare numerical displays

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Use dot plots and stem-and-leaf plots to discuss shape, centre, spread and extremes.

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What is the median of the five observations in this dot plot?

A dot plot with values 31, 32, 33, 33, 36. 30 31 32 33 34 35 36 37
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A dot plot with values 31, 32, 33, 33, 36.

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Answer: 33

  1. The middle is the third observation in order.
  2. That observation is 33.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Use dot plots and stem-and-leaf plots to discuss shape, centre, spread and extremes.

Read the official VCAA curriculum description (VC2M7ST02)

These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.

Activities to practise beyond the quiz

  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  1. VC2M7ST02-C01Order the observations represented by a display before finding the median. A graph should retain every data value it claims to show.
  2. VC2M7ST02-C02The mean uses all values; compare it with the median when the distribution has a long tail or an extreme observation.
  3. VC2M7ST02-C03Range and mode describe different aspects of a distribution. Discuss clusters, gaps and possible outliers as well as numerical summaries.
  4. VC2M7ST02-C04Creating different numerical displays, including dot and stem-and-leaf plots, and comparing distribution shape/outliers using software where appropriate.

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Subskills

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Descriptor-derived subskills

  1. D01
    Read and calculate the middleOrder the observations represented by a display before finding the median. A graph should retain every data value it claims to show.
  2. D02
    Compare an average with the shapeThe mean uses all values; compare it with the median when the distribution has a long tail or an extreme observation.
  3. D03
    Compare shape, centre and spreadRange and mode describe different aspects of a distribution. Discuss clusters, gaps and possible outliers as well as numerical summaries.
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