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Data Detective Conclusions

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Data Detective Conclusions

Analyse the class survey below. Use the data as evidence, check what it can and cannot tell you, and write careful conclusions. The survey asked 24 Year 6 students: “How did you travel to school today?”

Survey results

Each symbol represents one student. Count the symbols in each row before answering.

Travel method

Students

Number

Walk

🚶 🚶 🚶 🚶 🚶 🚶 🚶

7

Car

🚗 🚗 🚗 🚗 🚗 🚗 🚗 🚗 🚗

9

Bus

🚌 🚌 🚌 🚌 🚌

5

Bike

🚲 🚲 🚲

3

Investigate the evidence

Show your thinking. A conclusion should say what the data supports, not claim more than the survey can prove.

1.How many students were surveyed altogether? Add the four category totals.
2.Which travel method was most common, and how many students chose it?
3.How many more students walked than rode a bike? Show a subtraction or other clear method.
4.What fraction of the students travelled by bus? Give the fraction in simplest form.
5.A student concludes, “Most students travelled by car.” Is this conclusion supported by the survey? Explain using the numbers.
  • Yes, because 9 is the largest category.
  • Yes, because more than half travelled by car.
  • No, because 9 is fewer than half of 24; it is the largest single group, but not most of all students.
  • No, because walking was more common than travelling by car.
6.Write one accurate conclusion about the survey. Include at least two figures from the table.
7.Can this survey prove that most Year 6 students in all of New Zealand travel by car? Choose the best answer and explain why.
  • Yes, because 24 students is enough to represent every Year 6 student in New Zealand.
  • No, because the survey only includes 24 students, so it may not represent all Year 6 students across New Zealand.
  • Yes, because car is the largest category in this survey.
  • No, because travel methods cannot be counted.
8.What additional information would help someone interpret these results fairly? Give one useful example.
9.Suggest one question to ask before accepting another group's conclusion from a survey. Make it specific to the quality or limits of their data.

2 printable pages

  • Data Detective Conclusions, page 1 of 2: Survey results, Investigate the evidence

    Page 1

  • Data Detective Conclusions, page 2 of 2: 4. What fraction of the students travelled by bus? Give the fraction in simplest form.

    Page 2

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