Averages and measures of spread: past paper questions

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• Question 4May/June 2026, paper 23Structured3 marks

  These are the wages of 8 office workers. $$\mathrm{\$}220\mathrm{\$}210\mathrm{\$}850\mathrm{\$}265\mathrm{\$}245\mathrm{\$}230\mathrm{\$}245\mathrm{\$}235$$ Work out the median.

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• Question 13Oct/Nov 2025, paper 21Structured4 marks

  These are Rahul's 10 test scores. 9 8 9 10 7 $x$ 9 9 $x$ 7 The mean of these scores is 8. Find the interquartile range.

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• Question 15Oct/Nov 2024, paper 21Structured5 marks

  Students in class $P$ take a test. These statistics show information about their marks.

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• Question 2Oct/Nov 2023, paper 21Structured3 marks

  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 2May/June 2026, paper 42Structured5 marks

  A librarian records the number of books borrowed by each of 40 students. The frequency table shows the results.

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• Question 16Oct/Nov 2025, paper 41Structured4 marks

  The table shows some information about the heights of 50 plants. Calculate an estimate of the mean height.

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• Question 5Oct/Nov 2024, paper 23Structured4 marksHas a diagram

  Each student in a class of 20 students records the number of coins in their pockets. The table shows the results.

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• Question 3Oct/Nov 2023, paper 23Structured3 marks

  The stem-and-leaf diagram shows the heights, in centimetres, of some plants. $$\begin{array}{rll}10& 4& 8\\ 11& 1& 3& 4& 6\\ 12& 2& 3& 6& 9\\ 13& 2& 6& 9\end{array}$$ Key: $10\mid 4$ represents $10.4\text{ cm}$ Find the median height.

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• Question 19May/June 2026, paper 42Structured7 marks

  The time spent in a shop by each of 40 customers is recorded. The table shows the results.

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• Question 6Oct/Nov 2025, paper 42Structured4 marks

  One morning, a dentist has appointments for 10 patients. The stem-and-leaf diagram shows the waiting time for 8 of these patients.

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• Question 15Oct/Nov 2024, paper 23Structured2 marks

  The box-and-whisker diagram shows information about the heights of some plants. Find the median height.

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• Question 14Oct/Nov 2023, paper 23Structured2 marks

  The box-and-whisker plot shows information about the mass, in kg, of some parcels.

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• Question 9May/June 2026, paper 43Structured5 marks

  The table shows the marks of 100 students in a test.

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• Question 16Oct/Nov 2025, paper 42Structured8 marksHas a diagram

  The histogram shows information about the masses of some coconuts. The masses are classified into four categories $A$, $B$, $C$ and $D$. Show that there are 10 coconuts in category $D$.

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• Question 3Oct/Nov 2024, paper 41Structured8 marksHas a diagram

  The table shows the waiting times for 120 patients at a medical centre.

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• Question 7Oct/Nov 2023, paper 41Structured7 marks

  The frequency table shows the time of each of 42 athletes in a race.

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• Question 2Oct/Nov 2025, paper 43Structured4 marks

  The stem-and-leaf diagram shows the age of each of 16 adults. $$\begin{array}{clccccc}3& 2& 3& 3& 5& 6& 7\\ 4& 0& 1& 5& 5& 6& 8& 9\\ 5& 1& 1& 1& & & \end{array}$$ Key: $3\mid 2$ represents age 32 years Find the mode.

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• Question 8Oct/Nov 2024, paper 43Structured9 marks

  Guillaume measures the speed of each of 100 cars. The results are shown in the table.

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• Question 2Oct/Nov 2023, paper 42Structured11 marks

  Daisy records her 50 homework marks. The table shows the results.

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• Question 23Oct/Nov 2025, paper 43Structured7 marks

  The table shows some information about the mass of each of 200 oranges.

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• Question 3May/June 2024, paper 22Structured3 marks

  A delivery driver records the number of pizzas she delivers each month for one year. 48 44 39 28 57 22 36 41 54 57 49 52 Complete the stem-and-leaf diagram.

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• Question 5Oct/Nov 2023, paper 43Structured14 marksHas a diagram

  Indira records the time taken for workers in her company to travel to work. The table and the histogram each show part of this information.

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• Question 9May/June 2025, paper 21Structured3 marks

  The table shows some information about the marks scored by a group of students in a test. | Test mark | 4 | 5 | 8 | | :--- | :---: | :---: | :---: | | Frequency | 2 | 4 | $n$ | The mean mark is 6. Work out the value of $n$.

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• Question 15May/June 2024, paper 23Structured4 marksHas a diagram

  The time taken for each of 200 students to complete a calculation is measured.

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• Question 3May/June 2023, paper 22Structured3 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 13May/June 2025, paper 22Structured11 marks

  100 students solve a puzzle.

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• Question 4May/June 2024, paper 41Structured18 marks

  Jianyu records the time, in seconds, that some cars take to travel $195\mathrm{m}$. The box and whisker plot shows this information.

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• Question 3May/June 2023, paper 41Structured13 marks

  The table shows information about the mass of each of 1000 eggs.

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• Question 6May/June 2025, paper 23Structured3 marks

  There are 15 giraffes in a group. The table gives information about the heights of the 15 giraffes.

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• Question 3May/June 2024, paper 42Structured15 marks

  The table shows the time that each of 40 students takes to travel to school.

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