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Interpreting Statistical Information

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Interpreting Statistical Information worksheet preview

Interpreting Statistical Information

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Part 1: Interpreting a Media-Style Infographic

Classroom-created infographic: How Year 12 students travel to school

A 2024 online survey of 600 New Zealand students aged 15–17 asked for their main way of travelling to school.

2024 results: Bus 34%   Car 29%   Walking 18%   Cycling 11%   Other 8%

Change since 2022: Bus increased from 29% to 34%; car decreased from 35% to 29%; walking increased from 17% to 18%; cycling increased from 10% to 11%; other decreased from 9% to 8%.

Purpose of the infographic: to inform school leaders about students’ travel patterns when planning transport options.

1. Who is the likely audience for this infographic, and what is its purpose?
2. Compare bus travel with cycling in 2024. Include both a difference in percentage points and a suitable statement about the relative sizes.
3. Describe one important trend between 2022 and 2024. Support your answer with numerical evidence.

Part 2: Comparing Two Groups and Writing a Response

A school surveyed 160 students about sleep and regular exercise. Students were asked how many hours they usually slept on a school night.

Regular exercise group: 80 students; mean 8.1 hours; median 8.0 hours; range 6.2–10.2 hours.

No regular exercise group: 80 students; mean 7.3 hours; median 7.2 hours; range 5.1–9.5 hours.

The survey was voluntary and self-reported. It shows an association between the variables, not necessarily a cause-and-effect relationship.

4. Compare the typical sleep of the two groups using the means. State the difference and explain what it suggests.
5. Compare the spread of the two groups using their ranges. Which group has the greater range, and by how much?
6. Identify two limitations of this survey. Explain why each limitation matters when interpreting the results.
7. Specified purpose: Write a coherent response for a school newsletter advising students whether regular exercise appears to be linked with getting more sleep. Refer to the context, at least three pieces of evidence, a comparison, a limitation, and a justified conclusion.

Achievement checklist

Before submitting, check that your response includes:

□ The purpose and intended audience

□ Relevant context about the survey

□ Accurate statistical evidence

□ Clear comparisons between the groups

□ A relevant trend or relationship

□ At least one meaningful limitation

□ A justified conclusion that answers the specified purpose

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