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 explain what a frequency table and a relative frequency table each show. (Guide: “Frequency tables” and “Relative frequency tables”)
- I can explain why the relative frequencies of one categorical variable add to 1, and why a rounded total may be slightly off. (Guide: “Rounding and totals that are not exactly 1”; Practice Q6)
- I can explain why a mean or median makes no sense for a categorical variable, and say what to report instead. (Guide: “Summarising a categorical variable”)
- I can explain why I need n to turn a relative frequency back into a count. (Guide: Worked example 2; Practice Q7)
Skills
- I can build a frequency table from a list of raw answers and check that the counts add to n. (Guide: Worked example 1; Practice Q4)
- I can turn counts into proportions and percentages by dividing by n. (Practice Q1, Q4, Q6)
- I can find a missing relative frequency, the proportion for a group of categories, and the proportion “not” in a category. (Practice Q2, Q4, Q5)
- I can convert between a proportion, a percentage, a part-to-whole ratio and a part-to-rest ratio. (Guide: “One piece of information, four forms”; Practice Q3, Q6)
- I can find counts from a relative frequency table when n is given. (Guide: Worked example 2; Practice Q5, Q7)
Reasoning
- I can tell the difference between “the most common category” and “a majority”, and use it to judge a claim. (Guide: Worked example 2; Practice Q2, Q5)
- I can check a “twice as many” or “1 in 10” claim against the counts or proportions. (Guide: Worked example 2; Practice Q2, Q5)
- I can write every conclusion in context, naming the category, the individuals and the group surveyed. (All worked examples)
All ticked? Move on to the Topic 1.4 study guide, Graphical Representations for One Categorical Variable, or return to the course roadmap.