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Exploring Data Together
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Exploring Data Together
A Year 7 class in Aotearoa New Zealand surveyed 20 students about how they usually travel to school. Use the results table to investigate what the data can tell you. Show working where useful.
Travel mode
Tally
Frequency
Walk
||||/ ||||
9
Car
||||/
5
Bus
||||
4
Bike or scooter
||
2
Total
20
Read and reason about the data
Use the survey table above for Questions 1–5.
1.How many students were surveyed? Explain how the table confirms your answer.
2.Which travel mode was most common, and how many students chose it?
3.How many more students walked than travelled by bus?
4.What fraction of the surveyed students travelled by car? Give your answer in simplest form.
5.A student says, “Most students travel by car because cars are common on the road.” Is that conclusion supported by this survey? Use the results to justify your response.
Display and evaluate
Use the survey results to make and assess a data display.
6.Draw a bar graph of the four travel-mode frequencies. Include a title, labelled axes, evenly spaced categories, and a sensible scale.
7.What is the range of the frequencies? Show how you found it.
8.The class wants to use this survey to describe how all students in the area travel to school. Give one reason why the results may not represent all those students.
9.Propose one change that would make a follow-up survey more representative of students across the area.
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