studyStatistics & Probability
FoundationMaths revision

Bar Graphs and Charts

Read categorical displays critically and convert between frequencies and proportions.

Focus points
✓Read frequencies from charts.
✓Compare categories using proportions.
✓Spot misleading graphical choices.
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The Wise Owl

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target Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions
Question 1FluencyCore
Original practice · Free Online Revision
Skill · frequency reading
A bar chart shows frequencies A=12, B=18, C=10. How many observations are represented?
Question 2FluencyCore
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Skill · proportion
Using A=12, B=18, C=10, what percentage are in category B?
Question 3FluencyCore
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Skill · pie chart
A pie chart sector is 90°. What fraction and percentage of the total does it represent?
Question 4FluencyCore
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Skill · pie-chart frequency
A survey of 240 students gives a pie-chart sector of 54° for cycling. How many cycle?
Question 5ReasoningCore
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Skill · graph criticism
A bar chart axis starts at 90 rather than 0 and bars show 96 and 100. Why can this be misleading?
Question 6FluencyCore
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Skill · pictogram
A pictogram uses one icon for 8 people. A category shows 3.5 icons. Find the frequency.
Question 7ReasoningCore
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Skill · proportion comparison
Two groups have 30 and 80 members; 12 and 24 prefer option X. Which group has the higher proportion?
Question 8ChallengeStretch
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Skill · graph design
Design a bar-chart scale for values 0–73 using a 10 cm vertical axis. Suggest a sensible interval.