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Multivariate Data Context

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Multivariate Data Context

A youth group is planning a free Saturday activity. Use the survey information to investigate how two variables may be connected. Show calculations where needed, and explain conclusions in context.

The survey

A volunteer surveyed 40 young people at one community event. Each person chose one usual weekend activity and reported how they usually travelled to the event. The results are shown below. The survey was voluntary and did not collect names.

Usual weekend activity

Walk or cycle

Car

Bus

Total

Sport

Creative activity

Gaming

Other

Total

Read the data

Treat each number as the count of people in that category combination. Remember: an overall pattern does not necessarily describe every individual.

1.What are the two variables recorded for each person? State whether each variable is categorical or numerical.

2.How many surveyed people usually do a creative activity and travel by car?

3.Among the people who usually play sport, which travel method was most common? Give the count.

4.Which weekend activity was most common overall? Show how you used the totals.

5.Of the 11 people who travelled by bus, what fraction usually played gaming? Simplify the fraction.

6.Compare the proportion who travelled by car among people choosing creative activities with the proportion among people choosing sport. Which group had the higher car-travel proportion?

7.A volunteer says, “People who play gaming usually take the bus.” Is this a fair description of the table? Use the gaming row to support your answer.

8.Can this survey show that travelling by bus causes people to choose gaming? Explain why or why not.

9.Give one reason these results might not represent all young people in the community.

10.The youth group wants to run a follow-up survey. Suggest one respectful, ethical way to collect responses, and name one piece of personal information they should avoid collecting unless it is essential.