Cambridge IGCSE Maths (0580) · Topic 9: Statistics · 9.1, 9.2
Classifying and Interpreting Data questions with worked answers for Cambridge IGCSE Mathematics (0580). Each question says whether it is Core or Extended and whether it is for a calculator or non-calculator paper. Try each one before you open the answer.
Summarised in our own words: check the exact wording in the official 0580 syllabus.
For everyone: Core students (Papers 1 and 3) and Extended students (Papers 2 and 4).
Say whether each type of data is categorical, discrete or continuous.
(a) eye colour (b) number of brothers and sisters (c) height (d) shoe size
Answer: (a) categorical (b) discrete (c) continuous (d) discrete
Ten students said how many pets they have: \(2, 3, 3, 1, 4, 2, 3, 2, 3, 5\)
(a) How many students have \(3\) pets?
(b) Which number of pets is the most common?
Answer: (a) \(4\) (b) \(3\) pets
Is each type of data categorical, discrete or continuous?
(a) the height of a tree (b) the number of cars in a car park
Answer: (a) continuous (b) discrete
The table shows the rainfall, in mm, in a town.
\[\begin{array}{c|ccccc} \text{Month} & \text{Jan} & \text{Feb} & \text{Mar} & \text{Apr} & \text{May} \\ \hline \text{Rainfall (mm)} & 42 & 35 & 58 & 61 & 47 \end{array}\]
(a) Which month was the wettest?
(b) How much more rain fell in the wettest month than in the driest month?
Answer: (a) April (b) 26 mm
The two-way table shows how \(90\) students travel to school. Some numbers are missing.
Find the four missing numbers: Year 11 walk, Year 10 bus, Year 10 total and Year 11 total.
| Walk | Bus | Car | Total | |
|---|---|---|---|---|
| Year 10 | 14 | 9 | ||
| Year 11 | 22 | 11 | ||
| Total | 30 | 40 | 20 | 90 |
Answer: Year 11 walk \(16\), Year 10 bus \(18\), Year 10 total \(41\), Year 11 total \(49\)
Class A's test marks have mean \(62\) and range \(30\). Class B's have mean \(58\) and range \(12\).
Make two comparisons between the classes.
Answer: Class A did better on average (higher mean); Class B was more consistent (smaller range)
In a pictogram, one symbol stands for \(8\) cars. On Monday the row shows \(3\) whole symbols and half a symbol.
How many cars does Monday's row show?
Answer: \(28\)
The table shows the number of goals a team scored in \(20\) matches.
(a) Find \(x\).
(b) In how many matches did the team score at least \(2\) goals?
| Goals | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| Frequency | 4 | 7 | 5 | x | 1 |
Answer: (a) \(x = 3\) (b) \(9\)
The times taken to solve a puzzle are recorded to the nearest second. Explain why time is continuous data, even though the recorded values are whole numbers.
Answer: time is measured and can take any value; it is only rounded for recording
Every question on this page is original, written for IGCSE Math Revision rather than taken from Cambridge papers, and each answer was re-solved independently before publishing. Questions with a mark scheme come from our 0580 practice bank (M method, A accuracy, B independent marks).
Classifying and Interpreting Data is on both tiers (syllabus 9.1, 9.2), so it can come up on Core Papers 1 (non-calculator) and 3 (calculator), and Extended Papers 2 (non-calculator) and 4 (calculator). Extended candidates also need the Extended parts listed on this page. Half of each tier's marks are on a non-calculator paper, so practise the non-calculator questions without one.
No. Every question here was written for IGCSE Math Revision in the style of the 0580 papers, and each answer was checked independently before publishing. For real exam practice, use the Cambridge past papers linked from our 0580 past papers page.
In the 0580 practice for topic 9 (Statistics), where every question is marked and tagged Core or Extended. Practice is part of the IGCSE plan, with a free preview; the questions on this page are free.
IGCSE Math Revision