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 list the four parts of a complete description: shape, centre, variability and unusual features. (Guide: “What ‘describe the distribution’ means”)
- I can explain why skew is named after the longer tail and not after the peak. (Guide: “Shape, part 1”; Practice Q1)
- I can explain the difference between an outlier, a gap and a cluster. (Guide: “Unusual features”; Practice Q3)
- I can explain why a gap alone does not make a value an outlier. (Guide: “Unusual features”; Practice Q6)
Skills
- I can name a shape as skewed right, skewed left or approximately symmetric from a dot plot, stem-and-leaf plot, histogram or frequency table. (Guide: Figure 1; Practice Q1, Q3)
- I can name a shape as unimodal, bimodal or approximately uniform. (Guide: “Shape, part 2”; Practice Q5, Q7)
- I can find the median on a dot plot, and the bin that contains it on a histogram. (Guide: Worked examples 1 and 2)
- I can describe variability with the smallest and largest values and where most values lie. (Guide: “Centre and variability from a graph”; Practice Q4)
- I can predict a likely shape from the context of a variable. (Guide: “Shape, part 1”; Practice Q2)
Reasoning
- I can write a full description of a distribution in context, with the variable, the individuals and the units. (Guide: Worked example 1; Practice Q4)
- I can find and correct errors in someone else’s description. (Practice Q6)
- I can use counts or percentages from a graph to support or reject a claim. (Guide: Worked example 2; Practice Q5, Q7)
All ticked? Move on to Topic 1.7: Summary Statistics for One Quantitative Variable, or return to the course roadmap.