VC2M9ST03 Official strand: Statistics

Compare data distributions

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Use centre, spread, shape and outliers to compare numerical datasets and their displays.

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For data [2, 4, 4, 6, 9], calculate the mean.

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Answer: 5

  1. Use the definition of mean.
  2. The mean is 5.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Use centre, spread, shape and outliers to compare numerical datasets and their displays.

Read the official VCAA curriculum description (VC2M9ST03)

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Activities to practise beyond the quiz

  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  1. VC2M9ST03-C01Calculate mean, median and range for a numerical dataset.
  2. VC2M9ST03-C02Construct comparative stem-and-leaf plots and histograms and describe distribution shape.
  3. VC2M9ST03-C03Investigate the effect of an outlier on summaries.
  4. VC2M9ST03-C04Compare outlier effects on centre, spread and shape in context.
  5. VC2M9ST03-C05Apply and explain compare data distributions using compare evidence and check a claim.
  6. VC2M9ST03-C06Apply and explain compare data distributions using read and connect representations.
  7. VC2M9ST03-C07Apply and explain compare data distributions using work backwards from what is known.

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Subskills

These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.

Descriptor-derived subskills

  1. D01
    Centre and spreadCalculate mean, median and range for a numerical dataset.
  2. D02
    What changes when an extreme value appears?Investigate the effect of an outlier on summaries.
  3. D03
    Compare evidence and check a claimApply and explain compare data distributions using compare evidence and check a claim.
  4. D04
    Read and connect representationsApply and explain compare data distributions using read and connect representations.
  5. D05
    Work backwards from what is knownApply and explain compare data distributions using work backwards from what is known.
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