Compare two distributions
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These measurements are in centimetres. What is the range for Group A?
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Observation, Group A (cm), Group B (cm); 1, 1, 2; 2, 3, 3; 3, 3, 4; 4, 5, 4; 5, 10, 6
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Answer: 9 cm
- Largest: 10 cm; smallest: 1 cm.
- Range = 10 − 1 = 9 cm.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Choose comparable displays and discuss mode, range and shape.
Read the official VCAA curriculum description (VC2M6ST01)
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.
- 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.
- VC2M6ST01-C01Check whether the variable is an unordered category, an ordered category, a count or a measurement. Use the same units and compatible groups. For numerical data, range is the largest value minus the smallest. Do not subtract arbitrary category names or number codes.
- VC2M6ST01-C02Use a table or comparative graph with clear labels and consistent scales. Compare the mode, spread and shape rather than just one value. Preserve the natural order of rating categories. Equal ranges do not guarantee equal distributions or equal modes.
- VC2M6ST01-C03Check the whole pattern and identify which summary supports your conclusion. A changed extreme can alter range without changing the mode. A shared minimum or sample size does not make two distributions identical. Keep conclusions tied to the observed groups.
- VC2M6ST01-C04Acquiring/interpreting all four variable types with comparative digital displays and discussing distribution shape.
- VC2M6ST01-C05Actually collecting observations or survey responses and using spreadsheet software.
- VC2M6ST01-C06Creating and communicating an original statistical investigation, rather than selecting an MCQ response.
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Subskills
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Descriptor-derived subskills
- D01Compare the same kind of quantityCheck whether the variable is an unordered category, an ordered category, a count or a measurement. Use the same units and compatible groups. For numerical data, range is the largest value minus the smallest. Do not subtract arbitrary category names or number codes.
- D02Read distributions side by sideUse a table or comparative graph with clear labels and consistent scales. Compare the mode, spread and shape rather than just one value. Preserve the natural order of rating categories. Equal ranges do not guarantee equal distributions or equal modes.
- D03Explain differences and limitsCheck the whole pattern and identify which summary supports your conclusion. A changed extreme can alter range without changing the mode. A shared minimum or sample size does not make two distributions identical. Keep conclusions tied to the observed groups.