Topic summary · Statistics (S1)

Graphical Representation of Data summary

Statistical diagrams communicate distribution shape and spread — histograms, box plots and cumulative frequency curves.

Open Learning Sheet — Graphical Representation of Data Download Graphical Representation of Data answers PDF

Files: S1-Graphical Representation of Data.pdf · S1-Graphical Representation of Data answers.pdf · free public downloads · diagrams in the PDFs

Key learning points

Histograms use frequency density for unequal widths.
Box plots display the five-number summary.
Cumulative frequency estimates medians and percentiles.
Match the diagram to the question’s focus.

Worked example 1 — Pie chart angle

Frequency 15 out of 60. Angle?

Working

90^\circ

Fraction of $360^\circ$ .

Worked example 2 — Bar chart

Bar reaches 12 on the frequency axis. Frequency?

Working

12

Read the scale.

Worked example 3 — Comparing groups

What must dual bar charts share?

Working

\text{a common scale}

Fair comparison.

Worked example 4 — IQR

Q1 $=12$ , Q3 $=20$ . IQR?

Working

8

IQR = Q3 − Q1.

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.

Open Learning Sheet Answers PDF

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