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Comparative Distribution Analysis of Two Samples from Census at School

Analyze the center, shape, and spread of each sample distribution, compare shapes and spreads, draw conclusions, and support with evidence from Census at School data.

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Comparative Distribution Analysis of Two Samples from Census at School

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  1. Note 8: Analysis COMMENT ON: • The centre • Has the median shifted? • Do the boxes overlap? • Anything unusual • Clusters, outliers groups? • Shape • Describe the shape of each sample distribution (symmetry, modality) • Compare the shapes of the two sample distributions • Ignore features which may just be due to sampling variability • The spread • Compare the spreads of the two sample distributions • USE THE SPREAD OF THE MIDDLE 50% (IQR) – DON’T USE RANGE

  2. SAMPLES VS POPULATIONS • Make sure you are clear if you are writing • I notice… statements about your sample or • I wonder… statements about what is happening back in the population When using your data to make inferences about the populations use both your stats knowledge and your own contextual knowledge

  3. Note 9: Conclusion Write a conclusion summarising your findings • It needs to include an informal inference in response to your investigative question • Support this with relevant evidence

  4. COMMENTS Make a call/too close to call back in the population Why are you prepared/not prepared to make the call (refer to your data)? Would you expect what you saw in your data to hold back in your population? Would you expect the same patterns to hold if you took another sample? Does your call (or not) make sense with what you know about the context?

  5. Data from Census at School

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