Averages and range: past paper questions

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• Question 12May/June 2026, paper 11Structured5 marks

  The stem-and-leaf diagram shows the lengths, in centimetres, of 32 wooden planks. key : 23 | 3 represents 233 cm Find the range.

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• Question 10Oct/Nov 2025, paper 11Structured3 marksHas a diagram

  The bar chart shows the number of books sold in a shop in each of five months. 4 books were sold in August. Complete the bar chart.

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• Question 6Oct/Nov 2024, paper 11Structured2 marks

  The stem-and-leaf diagram shows the number of cars sold each day by a company.

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• Question 6Oct/Nov 2023, paper 11Structured6 marks

  Mei writes down five integers. • The lowest integer is 8. • The range is 9.

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• Question 24May/June 2026, paper 12Structured3 marks

  A group of 4 children have a mean age of 11. A fifth child joins the group, and the mean age is now 10. Calculate the age of the fifth child.

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• Question 14Oct/Nov 2025, paper 11Structured4 marks

  These are the ages, in months, of each of 12 children. 11 27 8 10 26 17 28 12 9 13 22 12 Complete the stem-and-leaf diagram to show this information.

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• Question 15Oct/Nov 2024, paper 11Structured3 marksHas a diagram

  A bus stops 25 times on a journey. The table shows the number of people who get on the bus at each stop.

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

  The stem-and-leaf diagram shows the time, in minutes, it takes each of 15 people to complete a race.

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• Question 7May/June 2026, paper 13Structured6 marks

  Raj records the temperature, in °C, at midday for each of 8 days. These are the results. $$1,10,8,-3,-2,10,7,9$$ Calculate the mean.

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• Question 11Oct/Nov 2025, paper 12Structured6 marksHas a diagram

  The stem-and-leaf diagram shows the number of customers entering a shop each day for 20 days.

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• Question 4Oct/Nov 2024, paper 13Structured1 mark

  7 19 8 12 3 12 9 7 12 Find the mode of these numbers.

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• Question 7Oct/Nov 2023, paper 12Structured4 marks

  For 16 days, Safia records the number of dresses she sells. $$\begin{array}{cccccccc}24& 6& 18& 14& 27& 37& 9& 16\\ 22& 17& 16& 16& 24& 20& 15& 32\end{array}$$ Complete the stem-and-leaf diagram.

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• Question 5May/June 2026, paper 32Structured4 marks

  There are 4 adults and 3 children in a room. The height of the shortest adult is 1.59 m. The range of the adults' heights is 0.25 m. The height of the tallest child is 1.43 m. The range of the children's heights is 0.38 m. Work out the range of the heights of the 7 people.

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• Question 8Oct/Nov 2025, paper 13Structured3 marks

  These are the masses, in kg, of each of 11 bags. 23 16 8 10 27 19 4 17 13 4 14 Complete the stem-and-leaf diagram to show this information.

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• Question 13Oct/Nov 2024, paper 13Structured4 marks

  Each student in a class of 20 students records the number of coins in their pockets. The table shows the results. | Number of coins | 0 | 1 | 2 | 3 | 4 | 5 | 6 | | Frequency | 3 | 1 | 7 | 8 | 0 | 0 | 1 | Find the median.

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• Question 6Oct/Nov 2023, paper 13Structured3 marks

  Jamie records the masses of two samples of oranges, type A and type B. The stem-and-leaf diagram shows the mass, in grams, of each of 30 oranges of type A. Key: 17 | 6 represents 176 grams Complete the table to show the range for type A oranges.

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• Question 6Oct/Nov 2025, paper 31Structured2 marks

  17 4 25 18 14 6 3 18 12 Find the mode

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• Question 5Oct/Nov 2024, paper 32Structured11 marksHas a diagram

  Students solve a puzzle by making guesses.

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• Question 5Oct/Nov 2023, paper 32Structured11 marksHas a diagram

  Heidi records the colour of each of 500 cars crossing a bridge. The pie chart shows some of this information. How many cars are red?

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• Question 10Oct/Nov 2025, paper 32Structured3 marks

  The bar chart shows the frequency of each score on a spinner. Calculate the mean score.

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• Question 9May/June 2024, paper 12Structured3 marks

  A delivery driver records the number of pizzas she delivers each month for one year. $$\begin{array}{cccccc}48& 44& 39& 28& 57& 22\\ 36& 41& 54& 57& 49& 52\end{array}$$ Complete the stem-and-leaf diagram.

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• Question 5Oct/Nov 2023, paper 33Structured12 marksHas a diagram

  Zena records the number of letters she posts on each of 12 days. $$373871065172$$ Write down the mode.

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• Question 20Oct/Nov 2025, paper 32Structured2 marks

  A town has two cinemas, Movie Scene and Flix. The table shows the mean and range of the audience numbers. Which cinema has higher audience numbers on average?

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• Question 4May/June 2024, paper 31Structured11 marks

  The stem-and-leaf diagram shows the ages of the 16 workers in a shop on 1st January 2022.

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• Question 5May/June 2023, paper 11Structured2 marks

  21 8 15 32 3 29 19 45 8 Calculate the mean of these numbers.

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• Question 10Oct/Nov 2025, paper 33Structured4 marks

  Jason records his score in each of 10 games of cricket. 16 7 21 8 20 9 11 7 14 3 Find the mode.

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• Question 4May/June 2024, paper 32Structured14 marksHas a diagram

  Anton records the number of pets owned by each of 50 families. The table shows some of his results.

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• Question 8May/June 2023, paper 12Structured3 marks

  On ten days, Stefan records the number of minutes he has to wait for a train. 1 3 12 5 4 23 5 24 11 8 Complete the stem-and-leaf diagram to show this information.

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• Question 11May/June 2025, paper 12Structured5 marks

  0 2 2 3 4 7 For these six numbers write down the mode

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• Question 1May/June 2024, paper 33Structured9 marksHas a diagram

  40 football players vote on the colour of new shirts. The results for red, yellow and green are shown in the bar chart. Twice as many football players vote blue than vote orange.

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