Statistics: past paper questions

Where the questions come from

• Question 5May/June 2026, paper 21Structured3 marksHas a diagram

  For four months, Hannah records the amount of time that she spends swimming, running and cycling. The composite bar chart shows this information. Complete the statement with the correct month.

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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 14May/June 2026, paper 21Structured5 marksHas a diagram

  The cumulative frequency diagram shows information about the amount of time 60 students spend watching television on one day. Find an estimate for the median

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• Question 5Oct/Nov 2025, paper 22Structured5 marksHas a diagram

  The pie chart shows some information about the way 600 students travel to school. Work out the number of students that walk to school.

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• Question 4Oct/Nov 2024, paper 22Structured5 marks

  The scatter diagram shows the number of rooms and the number of people in each of eight buildings. One of the buildings has 67 rooms. Write down the number of people in this building.

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• Question 6Oct/Nov 2023, paper 21Structured3 marksHas a diagram

  For each of 10 people working in an office, the scatter diagram shows their salary and the value of their car.

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• Question 22May/June 2026, paper 21Structured3 marks

  The table shows some information about the lengths of 145 pieces of wire.

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• Question 6Oct/Nov 2025, paper 23Structured4 marksHas a diagram

  The scatter diagram shows the value, in thousands of dollars, of ten paintings in 2005 and the value of the same paintings in 2025. The value of one of the paintings in 2025 is less than expected. Draw a circle around the point that represents this painting.

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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 23Oct/Nov 2023, paper 22Structured2 marks

  Some students record their reaction times. The table shows the results.

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• Question 1May/June 2026, paper 22Structured4 marks

  The scatter diagram shows the fuel consumption and CO2 emissions for 10 cars. Another car has a fuel consumption of 6.2 litres/100km and CO2 emissions of 162g/km. Plot a point on the scatter diagram to show this information.

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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 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 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 2May/June 2026, paper 23Structured4 marksHas a diagram

  The table shows information about the favourite drink of each of 60 students.

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• Question 25Oct/Nov 2025, paper 41Structured3 marks

  Kai sorts parcels into two types, light and heavy. The histogram shows some information about the number of parcels Kai sorts in one day. Find the number of light parcels.

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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 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 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 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 5Oct/Nov 2024, paper 42Structured15 marksHas a diagram

  The cumulative frequency diagram shows information about the distance travelled by each of 80 motorists in a month. Use the cumulative frequency diagram to find an estimate for the median

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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 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 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 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 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 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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