Statistics: past paper questions

Where the questions come from

• Question 3May/June 2026, paper 12Structured4 marks

  These are the scores for each of 10 children in a spelling test. $$\begin{array}{cccccccccc}7& 10& 10& 15& 7& 5& 11& 7& 13& 5\end{array}$$ Work out the median.

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• Question 2Oct/Nov 2025, paper 11Structured2 marks

  Some children record the number of hours they each spend watching television one day. These are the results. $$\begin{array}{ccccccccc}1& 2& 2& 2& 6& 7& 7& 8& 10\end{array}$$ Write down the mode.

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• Question 3Oct/Nov 2024, paper 11Structured3 marks

  Here are eight integers. $$-1-5-1-3-32-1-7$$ Find the mode

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• Question 5Oct/Nov 2023, paper 11Structured2 marksHas a diagram

  Yasmin asks 20 people how many pets they own. The results are shown in the bar chart. Find the range.

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• Question 4May/June 2026, paper 12Structured3 marks

  Ana has 60 cards. Each card is red or green. The ratio $\text{red cards}:\text{green cards}=2:1$.

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• Question 5Oct/Nov 2025, paper 11Structured4 marksHas a diagram

  The table shows how some people travel to work.

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• Question 6Oct/Nov 2024, paper 11Structured4 marksHas a diagram

  The table shows the time spent on a homework task and the number of errors made for some students in a class.

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• Question 9Oct/Nov 2023, paper 11Structured3 marksHas a diagram

  The scatter diagram shows the ages of ten people and the time they each take to complete a task.

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• Question 18May/June 2026, paper 12Structured5 marksHas a diagram

  The masses of 200 apples are summarised in the table.

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• Question 11Oct/Nov 2025, paper 11Structured3 marks

  A bag contains 10 plums. The mean mass of 6 of the plums is $50\text{ g}$. The mean mass of the remaining 4 plums is $40\text{ g}$.

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• Question 18Oct/Nov 2024, paper 11Structured6 marksHas a diagram

  50 adults each take part in a quiz. The cumulative frequency diagram shows their scores. Use the diagram to find an estimate of the interquartile range.

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• Question 4Oct/Nov 2023, paper 12Structured2 marks

  Sonu records the temperature, in °C, at midnight every day for 12 days. Here are the results in order, starting with the coldest. -6 -5 -3 -2 -1 -1 T 5 5 6 6 7 Find the range of the temperatures.

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• Question 2May/June 2026, paper 22Structured2 marksHas a diagram

  Maison records the colours of all the cars in a car park. The results are shown in the bar chart. Write down the colour of car that is recorded the least number of times.

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• Question 15Oct/Nov 2025, paper 11Structured3 marksHas a diagram

  The cumulative frequency diagram shows information about journey times. Use the cumulative frequency diagram to find an estimate for the median

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• Question 5Oct/Nov 2024, paper 12Structured4 marksHas a diagram

  A group of people are asked what type of holiday they prefer. The table gives information about the results.

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• Question 13Oct/Nov 2023, paper 12Structured2 marks

  A list of eight numbers has a mean of 12. The first five numbers have a mean of 9. Find the sum of the three remaining numbers.

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• Question 16May/June 2026, paper 22Structured4 marks

  The table gives information about the speeds of 60 cars travelling along a road.

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• Question 1Oct/Nov 2025, paper 12Structured5 marks

  Ruth records the colour of each of 24 cars. Red Blue Silver Blue Silver Silver White Silver Red Silver Silver Blue Grey Grey Silver Red White Red Blue Grey Blue Silver Red Red Complete the frequency table.

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• Question 18Oct/Nov 2024, paper 12Structured4 marksHas a diagram

  Lin records the masses, in grams, of 60 onions. The cumulative frequency diagram shows her results. Use the diagram to find an estimate for the interquartile range.

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• Question 17Oct/Nov 2023, paper 12Structured6 marks

  The heights of 80 plants are measured. The table shows the results.

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• Question 19May/June 2026, paper 22Structured3 marksHas a diagram

  The cumulative frequency diagram shows information about the test scores for a group of students. Use the diagram to find an estimate for the median score.

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• Question 4Oct/Nov 2025, paper 21Structured4 marksHas a diagram

  The table shows the examination marks for mathematics and physics for each of 9 students. Complete the scatter diagram.

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• Question 25Oct/Nov 2024, paper 12Structured3 marks

  The table shows the times each of 110 students take to travel to school one day.

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• Question 5Oct/Nov 2023, paper 21Structured11 marksHas a diagram

  This is part of a bus timetable.

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• Question 17Oct/Nov 2025, paper 21Structured7 marks

  The table shows the times taken by 80 people to complete a race.

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• Question 2Oct/Nov 2024, paper 21Structured7 marksHas a diagram

  In a traffic survey, information about the vehicles passing a checkpoint is recorded. 160 vehicles pass the checkpoint in the morning. The table shows the number of people in each of these vehicles.

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• Question 8Oct/Nov 2023, paper 21Structured11 marks

  A group of 40 children are each asked how many books they read last month. The table shows the results.

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• Question 2Oct/Nov 2025, paper 22Structured3 marks

  These are the scores for 12 students in a quiz. 16 27 20 15 25 21 10 24 35 16 32 22 Find the median.

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• Question 2Oct/Nov 2024, paper 22Structured10 marksHas a diagram

  The table shows the age and value of 10 cars of the same model.

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• Question 3Oct/Nov 2023, paper 22Structured9 marksHas a diagram

  Laila asks a group of people what type of exercise they prefer. The results are shown in the pie chart. 90 people prefer running.

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