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Real-World Statistics Applications

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Real-World Statistics Applications

Statistics in real world contexts

📊 Part 1: Identifying Statistical Applications

1. Which of the following best describes how statistics are used in healthcare?

Only for counting patients

To track disease patterns and treatment effectiveness

To set hospital prices

To schedule appointments

2. In sports statistics, which variables would be most useful for analysing team performance? (Select all that apply)

Goals scored per game

Player jersey colours

Win/loss ratio

Team mascot

Average possession time

3. The unemployment rate in New Zealand decreased from 4.2% to 3.8% over six months. This is an example of:

Categorical data

Time series data

Qualitative data

Experimental data

🔍 Part 2: Case Study Analysis

Case Study: A health researcher claims "80% of teenagers prefer energy drinks over water based on our survey." The survey was conducted outside a convenience store on a Saturday afternoon with 50 participants.

4. Identify two potential problems with this data collection method:
5. What type of sampling bias might be present in this study?
6. Suggest how the researcher could improve their data collection to get more reliable results:
7. A newspaper headline reads: "Study proves energy drinks cause poor academic performance." The study found students who drink energy drinks have lower test scores on average. Explain why this headline is misleading:

💡 Part 3: Real-World Applications

8. Choose one field (health, economics, or sports) and describe a real-world problem that could be investigated using statistics. Include:

• The investigative question

• What data you would collect

• How the results might be used

9. Extension Activity: Design a brief statistical enquiry using the PPDAC cycle for a current issue in your community. Outline each step:

Problem: ________________________________

Plan: ___________________________________

Data: ____________________________________

Analysis: ________________________________

Conclusion: ______________________________

10. Reflection: Why is it important to critically evaluate statistics presented in everyday life (media, advertisements, reports)?

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