Work through the list without notes. If you cannot do a statement, follow its link, then come back. Guide = study guide; Practice = practice questions.
Understanding
- I can say which features (centre, variability, shape, outliers, clusters, gaps) dot plots, stemplots and histograms show when comparing groups. (Guide: “Which display shows which feature?”)
- I can explain why parallel boxplots hide clusters, gaps and sample size, and why a wider box does not mean more data. (Guide: “Parallel boxplots”; Practice Q1)
- I can explain why groups of different sizes must be compared with relative frequencies. (Practice Q7)
- I can explain what the sign and size of a z-score tell me, and why z-scores have no units. (Guide: “Z-scores: relative position”)
Skills
- I can read a back-to-back stemplot, including split stems, and find each group’s median and IQR. (Guide: “A back-to-back stem-and-leaf plot”; Practice Q4)
- I can judge skewness and spot outliers from parallel boxplots or five-number summaries. (Guide: “Parallel boxplots”; Practice Q5)
- I can calculate a z-score from μ and σ, or from x̄ and s when the parameters are unknown. (Guide: Worked examples 2 and 3; Practice Q2, Q6)
- I can find the value that has a given z-score using x = μ + zσ. (Practice Q6)
Reasoning
- I can write a full comparison of two distributions with comparative words, values for both groups, units and context. (Guide: Worked example 1; Practice Q4, Q5)
- I can use several representations together to justify or reject a claim in context. (Guide: Worked example 1; Practice Q5, Q7)
- I can use z-scores to decide which of two values, in the same distribution or in different ones, is more unusual, taking care when a lower value is better. (Guide: Worked examples 2 and 3; Practice Q3, Q6)
All ticked? Move on to Topic 1.10, The Investigative Question Revisited and Data Collection, in the next study guide, or return to the course roadmap.