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.
1Find2 marks
2026
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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A cumulative frequency curve for 150 parcels reads 96 at a mass of 2 kg. Estimate how many parcels have a mass greater than 2 kg.
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A cumulative frequency curve for 240 phone calls reads 45 at a length of 2 minutes and 186 at a length of 6 minutes. Estimate how many calls last between 2 and 6 minutes.
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A cumulative frequency curve is drawn for 320 journey times. A student reads across from a cumulative frequency of 240 and down to the time axis. State which statistic this gives.
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2026
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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On a box plot, state what percentage of the data lies between the lower quartile and the upper quartile.
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A data set has minimum 1, lower quartile 4, median 6, upper quartile 9 and maximum 15. Draw a box and whisker diagram on a scale from 0 to 16.
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State what the vertical axis of a histogram with equal-width classes represents.
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In 30 football matches a team scored: 0 goals → 7 matches, 1 → 11, 2 → 8, 3 → 4.
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In 30 football matches a team scored: 0 goals → 7 matches, .
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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
The number of minutes 40 students spent on homework one evening is summarised in the following box and whisker diagram.
State the median.
State the median.
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The masses, in kg, of the bags checked in by 50 passengers are summarised in the following box and whisker diagram.
State the median.
State the median.
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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
The number of goals scored by a team in each of 40 matches:
Draw a box and whisker diagram that represents the data.
| Goals | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| Frequency | 6 | 12 | 11 | 7 | 3 | 1 |
Draw a box and whisker diagram that represents the data.
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2026
The daily maximum temperature, in °C, recorded on 15 days:
21, 23, 24, 24, 25, 26, 26, 27, 27, 28, 29, 29, 30, 32, 34
Draw a box and whisker diagram that represents the data.
21, 23, 24, 24, 25, 26, 26, 27, 27, 28, 29, 29, 30, 32, 34
Draw a box and whisker diagram that represents the data.
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2026
The number of books read in a term by each of 30 students:
Draw a box and whisker diagram that represents the data.
| Books | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Frequency | 2 | 5 | 9 | 8 | 4 | 2 |
Draw a box and whisker diagram that represents the data.
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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
The number of goals scored by a football team in each of 40 matches is shown in the table.
Draw a box and whisker diagram that represents the number of goals scored.
| Goals | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| Frequency | 6 | 12 | 10 | 7 | 4 | 1 |
Draw a box and whisker diagram that represents the number of goals scored.
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2026
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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