Unit 4: Statistics and Probability
Topic 4.2: Representing Data Questions
Practice 20 exam-style questions for IB Math AA SL Topic 4.2. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1State1 mark
2026• Aimnova practice — 4.2.1
State what the vertical axis of a histogram with equal-width classes represents.
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2026• Aimnova practice — 4.2.3
On a box plot, state what percentage of the data lies between the lower quartile and the upper quartile.
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2026• Aimnova practice — 4.2.1
In 30 football matches a team scored: 0 goals → 7 matches, 1 → 11, 2 → 8, 3 → 4.
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2026• Aimnova practice — 4.2.2
Lengths (cm) have class frequencies 5, 12, 18, 9, 6 for 0–10, 10–20, 20–30, 30–40, 40–50. Find the cumulative frequencies.
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2026• Aimnova practice — 4.2.1
A histogram of times (minutes) uses equal classes with frequencies 4, 9, 15, 8, 4. Find the total number of people in the sample.
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2026• Aimnova practice — 4.2.1
A frequency table of shoe sizes has frequencies 3, 7, 10, 6 for sizes 4, 5, 6, 7. Find the number of people with a shoe size less than 6.
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2026• Aimnova practice — 4.2.1
Masses (kg) are grouped: 0–5 → 6, 5–10 → 13, 10–15 → 16, 15–20 → 5. State the modal class.
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2026• Aimnova practice — 4.2.2
A cumulative frequency curve for 50 plants reads 38 at a height of 60 cm. Estimate how many plants are taller than 60 cm.
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2026• Aimnova practice — 4.2.3
A data set has lower quartile 24 and upper quartile 39. Find the interquartile range.
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2026• Aimnova practice — 4.2.1
A frequency table has frequencies 6, x, 9, 4 for four values, and the total number of data values is 30. Find x.
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2026• Aimnova practice — 4.2.3
A box plot of daily temperatures shows minimum 6, Q₁ = 11, median 15, Q₃ = 20, maximum 27 (°C).
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2026• Aimnova practice — 4.2.2
A cumulative frequency curve for 160 people reads 28 at a height of 150 cm and 132 at 175 cm. Estimate how many people have a height between 150 cm and 175 cm.
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2026• Aimnova practice — 4.2.2
A cumulative frequency curve for 80 salaries shows that the top 25% earn more than $52 000. State which statistic $52 000 is, and the cumulative frequency it is read from.
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2026• Aimnova practice — 4.2.2
A cumulative frequency curve for 240 test scores reads 60 at a mark of 45 and 180 at a mark of 68.
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2026• Aimnova practice — 4.2.3
Two classes sit the same test. Class A has median 62 and IQR 10; Class B has median 55 and IQR 22. Compare the two distributions.
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2026• Aimnova practice — 4.2.3
A data set has Q₁ = 40, Q₃ = 64. Find the smallest value that would NOT be classed as a low outlier.
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2026• Aimnova practice — 4.2.3
A data set has minimum 3, Q₁ = 15, median 22, Q₃ = 24, maximum 60. Show that the maximum is an outlier.
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2026• Aimnova practice — 4.2.1
A frequency table of test scores has frequencies 5, 8, 12, 8, 7 for scores 1–5.
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2026• Aimnova practice — 4.2.3
A data set has Q₁ = 18 and Q₃ = 30. Determine whether a value of 50 is an outlier.
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2026• Aimnova practice — 4.2.3
A box plot of 200 reaction times shows median 0.32 s, Q₁ = 0.27 s, Q₃ = 0.41 s.
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