VC2M8ST02 Official strand: Statistics

Analyse data and its source

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Describe sample distributions and interpret how primary, secondary, random and non-random data were obtained.

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A random sample gives these travel times in minutes: 2, 3, 3, 4, 8. What is the sample mean? Give your answer to 2 decimal places.

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Answer: 4.00 min

  1. The total is 20 minutes for 5 observations.
  2. Mean = 20 ÷ 5 = 4.00 minutes. It describes this sample, not an exact population value.
  3. mean(2, 3, 3, 4, 8) = 4.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Describe sample distributions and interpret how primary, secondary, random and non-random data were obtained.

Read the official VCAA curriculum description (VC2M8ST02)

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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. VC2M8ST02-C01Calculate and interpret a sample distribution’s centre.
  2. VC2M8ST02-C02Analyse and report data with attention to source and selection.
  3. VC2M8ST02-C03Analyse primary and secondary distributions and report the effect of their sampling methods.
  4. VC2M8ST02-C04Calculate spread and use it when comparing distributions.
  5. VC2M8ST02-C05Compare displayed distributions in context, including centre, spread and outliers.
  6. VC2M8ST02-C06Apply and explain analyse data and its source using calculate and explain each step.
  7. VC2M8ST02-C07Apply and explain analyse data and its source using compare evidence and check a claim.

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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
    A summary belongs to its sampleCalculate and interpret a sample distribution’s centre.
  2. D02
    Where did these data come from?Analyse and report data with attention to source and selection.
  3. D03
    Look beyond the averageCalculate spread and use it when comparing distributions.
  4. D04
    Calculate and explain each stepApply and explain analyse data and its source using calculate and explain each step.
  5. D05
    Compare evidence and check a claimApply and explain analyse data and its source using compare evidence and check a claim.
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