Quartiles and comparative distributions
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Log in to continueUse quartiles, IQR and displays to discuss centre, spread, shape and outliers of continuous data.
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For ordered data [1, 3, 4, 6, 8, 9, 11, 14], find the lower quartile Q1. Use the median of each half to define the quartiles.
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Answer: 7/2
- Split the eight values into two halves of four.
- Q1 = 7/2; Q3 = 10.
- The requested lower quartile Q1 is 7/2.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Use quartiles, IQR and displays to discuss centre, spread, shape and outliers of continuous data.
Read the official VCAA curriculum description (VC2M10ST01)
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- 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.
- VC2M10ST01-C01Calculate quartiles using a stated convention.
- VC2M10ST01-C02Construct and compare suitable displays of continuous distributions.
- VC2M10ST01-C03Interpret a boxplot while recognising what it hides.
- VC2M10ST01-C04Discuss distribution shape and outliers in context using complementary displays.
- VC2M10ST01-C05Apply and explain quartiles and comparative distributions using read and connect representations.
- VC2M10ST01-C06Apply and explain quartiles and comparative distributions using calculate and explain each step.
- VC2M10ST01-C07Apply and explain quartiles and comparative distributions using compare evidence and check a claim.
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Subskills
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Descriptor-derived subskills
- D01Describe the middle halfCalculate quartiles using a stated convention.
- D02Read five summary valuesInterpret a boxplot while recognising what it hides.
- D03Read and connect representationsApply and explain quartiles and comparative distributions using read and connect representations.
- D04Calculate and explain each stepApply and explain quartiles and comparative distributions using calculate and explain each step.
- D05Compare evidence and check a claimApply and explain quartiles and comparative distributions using compare evidence and check a claim.