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Visualising Data Worksheet
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Visualising Data Worksheet
A group of 20 students was asked how they travelled to school. Use the data display to choose, create and interpret useful visualisations. Show your thinking where needed.
The survey data
The survey recorded each student's main way of travelling to school.
Walk
6 students
Car
5 students
Bus
4 students
Bike
3 students
Scooter
2 students
Choose a clear display
1.The travel survey has categories rather than measurements. Which display is most suitable for comparing the number of students in each category?
- A bar graph
- A time-series graph
- A line graph joining students in survey order
- A map
2.Check the survey total: add the number of students in all five travel categories. Does it match the stated total of 20 students?
3.Which travel method was most common, and how many students chose it?
4.How many more students walked than rode a scooter? Use the survey frequencies to work it out.
5.What fraction of the surveyed students travelled by bus? Give your answer in simplest form.
6.Draw a bar graph of the travel survey. Include a clear title, category labels, a labelled vertical axis and an even scale. Use the blank graphing space below.
7.A student starts the vertical axis of their bar graph at 4 instead of 0, so the bars begin at 4. Explain why this could make the differences between travel methods look misleading.
8.True or false: Joining the tops of the five travel-method bars with a line would be a sensible way to show how travel changed over time.
- True
- False
9.A friend says, “Most students travel by car,” after looking at this survey. Use the data to decide whether that statement is accurate, and explain your decision.
10.The survey asked only 20 students. Give one sensible reason not to assume that these results represent every student in New Zealand.
11.Suggest one ethical step to take before asking students about their travel to school, and one way to protect their privacy when recording answers.
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