Averages and measures of spread: past paper questions

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• 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 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 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 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 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 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 17Oct/Nov 2025, paper 21Structured7 marks

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

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• Question 3May/June 2024, paper 12Structured3 marks

  Olga writes a list of five numbers. The median of the numbers is 12. The mode of the numbers is 11.

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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 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 1May/June 2024, paper 21Structured10 marks

  The cost of a ticket to watch a basketball match is $67.60 . The total money received from ticket sales for one match is $1 183 000. Find the number of tickets sold for this match.

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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 24Oct/Nov 2025, paper 22Structured6 marksHas a diagram

  Owen records the mass of each of 250 onions. The histogram shows the results. Show that there are 28 onions with a mass of $200\text{ g}$ or less.

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• Question 2May/June 2024, paper 21Structured9 marksHas a diagram

  The temperature at midday was recorded at ten different heights on a mountain. The results are shown in the table.

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• Question 4May/June 2023, paper 12Structured3 marks

  At midday the temperature is 8°C. At midnight the temperature is 12°C lower. Find the temperature at midnight.

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• Question 16May/June 2025, paper 12Structured6 marksHas a diagram

  A group of 80 people each record their journey time from home to work one day. The cumulative frequency diagram shows the results. Use the cumulative frequency diagram to find an estimate of the median

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• Question 9May/June 2024, paper 22Structured13 marksHas a diagram

  A shop sells two varieties of apple tree. The cumulative frequency diagram shows the heights, in metres, of 80 Variety $A$ trees. Use the diagram to estimate the median

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• Question 4May/June 2023, paper 21Structured8 marksHas a diagram

  The cumulative frequency diagram shows the amount of fuel, $f$ litres, bought by 100 customers at a service station one day. Use the diagram to estimate the median

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• Question 18May/June 2025, paper 22Structured7 marks

  300 students take part in a competition. The table shows information about their scores.

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• Question 10May/June 2023, paper 21Structured10 marks

  Bags of sweets are packed into boxes. A box is opened and the number of sweets in each bag is counted. The results are shown in the table.

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• Question 7May/June 2023, paper 22Structured9 marks

  On Monday, the amount of money spent on a website by each customer was recorded. The table shows the results.

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