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Topic summary · Student revision

Graphical Representation of Data Topic Review summary

Self-review on charts for S1: histograms, stem-and-leaf, box plots, and cumulative frequency.

Files: Topic-Review-Graphical-Representation-of-Data.pdf · Topic-Review-Graphical-Representation-of-Data-Answers.pdf · free public downloads · diagrams in the PDFs

Key learning points

  • Histograms use frequency density when class widths vary.
  • Cumulative frequency curves estimate medians and percentiles.
  • Box plots show five-number summaries and skewness cues.
  • Choose chart type to match the data (categorical vs continuous).
  • Label axes and units — easy marks in exams.

Worked example 1 — Density

Frequency density formula.

Working

fractextfrequencytextclasswidth\\frac{\\text{frequency}}{\\text{class width}}

Histogram bar area ∝ frequency.

Worked example 2 — Median

Estimate median from cumulative frequency graph.

Working

Read $x$ at cumulative frequency $n/2$

Interpolate if needed.

Worked example 3 — Histograms use frequency density when clas

Apply this idea from the Topic Review: Histograms use frequency density when class widths vary.

Working

see answers PDF\text{see answers PDF}

Attempt without notes, then check the answers PDF.

Worked example 4 — Cumulative frequency curves estimate media

Apply this idea from the Topic Review: Cumulative frequency curves estimate medians and percentiles.

Working

see answers PDF\text{see answers PDF}

Attempt without notes, then check the answers PDF.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.