Unit 4: Statistics and Probability
Topic 4.3: Central Tendency and Spread Questions
Practice 20 exam-style questions for IB Math AA SL Topic 4.3. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1State1 mark
2026
Heights are grouped: 140–150 → 4, 150–160 → 9, 160–170 → 14, 170–180 → 8, 180–190 → 5 (40 people). State the modal class.
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2026
Find the mean, median and mode of 5, 8, 8, 11, 14, 14, 14.
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2026
A data set has IQR 14 and lower quartile 23. Find the upper quartile.
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2026
A data set has mean 30 and standard deviation 5. Every value is increased by 8. Write down the new mean and standard deviation.
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2026
For a data set, the upper quartile is 58 and the interquartile range is 17. Write down the lower quartile.
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2026
Find the mean and standard deviation of 3, 5, 6, 8, 8, 12 using a calculator.
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2026
A data set has minimum , median , maximum 35. Find the range and the interquartile range.
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Nine weekly wages, in dollars, are 310, 320, 325, 330, 335, 340, 345, 350 and 1200. State which average best represents a typical wage.
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A box-and-whisker diagram of daily temperatures shows minimum 6, , median 21, and maximum 47. Find the interquartile range.
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2026
The mean of 4, 9, x, 12, 16 is 10. Find x.
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A data set has interquartile range 18 and lower quartile 27. Find the upper quartile.
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2026
Daily temperatures (°C) over a week are 17, 19, 18, 22, 24, 20, 20.
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2026
A data set has minimum 4, Q₁ = 11, median 16, Q₃ = 23, maximum 35. Find the range and the interquartile range.
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2022
For a data set, Q1 = 34 and Q3 = 46. Verify that the value 62 is not an outlier.
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2026
The number of pets owned by 20 students is recorded: 0 pets (4 students), 1 pet (7), 2 pets (5), 3 pets (3) and 4 pets (1). Write down the mode.
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2026
On a box plot, the box runs from 12 to 30. Write down the interquartile range.
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2026
The number of goals in 25 matches: 0 → 6, 1 → 9, 2 → 7, 3 → 3. Find the mean number of goals.
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2026
The lower quartile of a set of marks is 42 and the interquartile range is 19.
Write down the value of the upper quartile.
Write down the value of the upper quartile.
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2025
The times t, in minutes, that 30 people spent in a shop are grouped: 0 ≤ t < 10 (5 people), 10 ≤ t < 20 (12), 20 ≤ t < 30 (8) and 30 ≤ t < 40 (5). Estimate the mean and the standard deviation of t.
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2026
The number of goals scored by a hockey team in each of 40 matches is shown in the table.
Write down the mode.
| Value | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| Frequency | 5 | 9 | 13 | 8 | 3 | 2 |
Write down the mode.
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