Statistics — IGCSE Mathematics - International (0607) questions by topic

Grouped and ungrouped data both appear: finding a mean from raw exam marks, estimating from grouped speed data for cars passing a school gate, and completing frequency-table calculations for pumpkin masses or temperature ranges all test handling data correctly.

Find, complete, work out, estimate and show are the top command words, worth from 1 to 11 marks, across 21 questions set in 2025 papers. Because estimate signals that grouped data only allows an approximate answer using midpoints, practise distinguishing when a mean can be calculated exactly against when it must be estimated, then use instant marking to check whether your method matched what the command word actually required.

May–June 2025, Paper 11

Question 21 · 3 marks

120 students are each asked the time it takes them to complete an online game. Circle the word that describes the type of data collected. continuous discrete random

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May–June 2025, Paper 12

Question 1 · 5 marks

Luigi asked 30 males (M) and 30 females (F) to choose a pizza. They choose from cheese, meat, tuna or mushroom. The results are shown in the bar chart. Write down the pizza that…

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May–June 2025, Paper 13

Question 3 · 4 marks

Sophie records the lowest temperature, in degrees C, each day during one week. 4 6 6 7 9 11 13 Work out the range.

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May–June 2025, Paper 21

Question 8 · 2 marks

The mean of 9 numbers is 8. When an extra number is included, the mean is 7.7. Find the extra number.

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Question 17 · 4 marks

The cumulative frequency diagram shows the heights of 120 plants. Use the cumulative frequency diagram to estimate the interquartile range.

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May–June 2025, Paper 22

Question 7 · 3 marks

At a school, 50 students are asked their favourite car colour. The table shows the results. Colour Red Blue White Silver Black --- --- --- --- --- --- Frequency 7 x 15 16 x Find…

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Question 9 · 3 marks

The table shows the marks scored by each of 60 students in a science test. Mark 0 1 2 3 4 5 6 7 8 9 10 --- --- --- --- --- --- --- --- --- --- --- --- Frequency 2 14 5 3 7 6 5 1 7…

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May–June 2025, Paper 31

Question 4 · 5 marks

These are the numbers of students entered for an examination from each of 15 schools. 81 87 61 68 73 76 95 62 62 73 84 78 92 74 60 Complete an ordered stem-and-leaf diagram,…

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Question 6 · 1 mark

Ella climbs a mountain. The greater the height she climbs the lower the temperature. What is the type of correlation between height and temperature?

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May–June 2025, Paper 32

Question 14 · 7 marks

8 people train for a charity run. The number of hours that they train and the distance they run is shown in the table. Number of hours 2 3 5 5 6 7 8 10 Distance (km) 3 7 7 9 12 13…

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May–June 2025, Paper 33

Question 15 · 2 marks

The table shows scores grouped into class intervals, with mid-values and frequencies. Score (x) Mid-value Frequency --- --- --- 0 < x ≤ 10 5 24 10 < x ≤ 20 81 20 < x ≤ 30 195…

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May–June 2025, Paper 41

Question 1 · 5 marks

150 students are each asked how many texts they sent the previous day. The results are shown in the table. Number of texts 0 1 2 3 4 5 6 --- --- --- --- --- --- --- --- Frequency…

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Question 14 · 5 marks

Ahmed records the mass of each of 50 pumpkins. The results are shown in the table. Mass (m kg) 0 < m ≤ 2 2 < m ≤ 5 5 < m ≤ 10 10 < m ≤ 15 15 < m ≤ 25 --- --- --- --- --- ---…

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May–June 2025, Paper 42

Question 10 · 7 marks

The table shows the marks of each of 10 students in a physics exam (x) and in a chemistry exam (y). The physics marks are 9, 21, 33, 41, 55, 68, 75, 83, 89, 96. Find the mean…

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May–June 2025, Paper 43

Question 7 · 4 marks

Write down the type of correlation between the time Omar spent revising and his test score.

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Question 10 · 2 marks

The speed of each of 155 cars passing a school gate is recorded. The results are shown in the table. Speed (v km/h) 10 < v <= 20 20 < v <= 30 30 < v <= 35 35 < v <= 40 40 < v <=…

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May–June 2025, Paper 61

Question 3 · 11 marks

The poles are 10 m long. Each pole touches one post on the ground and the other post a metres above the ground. Q is the midpoint of ZY. Complete the statement. Triangle…

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Question 4 · 4 marks

Two poles are each 15 m long. Change the model in Question 3(c)(i) for poles of length 15 m.

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Question 5 · 10 marks

Use similar triangles to complete these statements. In triangles RSG and EFG: x / d = h / [ ] In triangles RSF and KGF: (d - x) / d = [ ] / [ ]

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May–June 2025, Paper 63

Question 4 · 5 marks

Matteo finds some data about the average length of kingfish at different ages (Age x years, Length L cm): (1, 28), (2, 39), (3, 48), (4, 57), (5, 64), (6, 71), (7, 78), (8, 84),…

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Question 5 · 1 mark

Irene finds this data about older kingfish (Age x years, Length L cm): (11, 98), (12, 102), (13, 105), (14, 109), (15, 112), (16, 114), (17, 117), (18, 119), (19, 121), (20, 122).…

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