Practise 30 real questions on Statistics from 2021 to 2026. See the answer and explanation as soon as you answer.
Statistics is one of the 5 main topics in our O Level Mathematics (Cambridge (CAIE) 4024) question bank, and about 8% of its real questions come from it. Tayyari Karo has 30 real questions on this topic from 2021 to 2026, from Paper 1, Paper 2. By difficulty: 18 medium, 8 easy, 4 hard.
Work through the questions below, then open the explanation for each one. Redo the ones you missed a few days later.
These are real past-paper questions. Think of your answer first, then open the explanation.
These are the scores for each of 10 children in a spelling test.
7 10 10 15 7 5 11 7 13 5
(a) Work out the median. [2]
(b) Work out the mean. [2]
(a) Ordered: 5 5 7 7 7 10 10 11 13 15, median = (7 + 10) ÷ 2 = 8.5
(b) Total = 90, mean = 90 ÷ 10 = 9
Order the data for the median (middle two values); add all values and divide by 10 for the mean.
Some children record the number of hours they each spend watching television one day. These are the results.
1 2 2 2 6 7 7 8 10
(a) Write down the mode.
(b) One of the 9 children is chosen at random.
Find the probability that this child spends more than 6 hours watching television on this day.
(a) 2 occurs three times, more often than any other value.
Mode = 2
(b) Values greater than 6: 7, 7, 8, 10 — that is 4 out of 9 children.
P(more than 6 hours) = 4/9
The mode is the most frequent value; count the favourable outcomes out of the total for the probability.
A bag contains 10 plums. The mean mass of 6 of the plums is 50 g. The mean mass of the remaining 4 plums is 40 g.
Calculate the mean mass of all 10 plums in the bag.
Total mass of the 6 plums = 6 × 50 = 300 g
Total mass of the 4 plums = 4 × 40 = 160 g
Total mass of all 10 plums = 300 + 160 = 460 g
Mean mass = 460 ÷ 10
= 46 g
Convert each mean back into a total mass, add the totals, then divide by the combined number of items.
Here are eight integers.
−1 −5 −1 −3 −3 2 −1 −7
Find
(a) the mode
(b) the median.
(a) −1 occurs three times, more than any other value.
Mode = −1
(b) Order the integers: −7, −5, −3, −3, −1, −1, −1, 2
There are 8 values, so the median is the mean of the 4th and 5th values.
Median = (−3 + (−1)) ÷ 2 = −4 ÷ 2
Median = −2
Find the most frequent value for the mode; order the data and average the two middle values for the median.
| Session | Paper 1 | Paper 2 |
|---|---|---|
| May/June 2026 | 2 | 3 |
| May/June 2025 | – | 2 |
| Oct/Nov 2025 | 3 | 2 |
| May/June 2024 | 3 | 1 |
| Oct/Nov 2024 | 2 | 1 |
| May/June 2023 | 1 | – |
| Oct/Nov 2023 | 1 | 1 |
| May/June 2022 | 3 | – |
| Oct/Nov 2022 | 1 | 1 |
| May/June 2021 | – | 1 |
| Oct/Nov 2021 | 1 | 1 |
30 real O Level Mathematics (4024) questions on Statistics from 2021 to 2026, from Paper 1, Paper 2. Each one shows the year, session and paper it came from.
Yes. Every question shows the correct answer and a short explanation the moment you answer.
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