Data Analysis and Interpretation

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Date:

📊 Part 1: Reading Data Visualisations

WALT: We are learning to interpret and analyse data sets using various data visualisations.

1. Look at this box plot showing heights (cm) of Year 10 students. Which statement is correct?

The median height is approximately 165cm

There are no outliers in the data

The range is about 30cm

Most students are taller than 170cm

2. A scatter plot shows the relationship between hours of study and test scores. Which features would you look for? (Check all that apply)

Clusters of data points

Overall trend or pattern

Outliers or unusual points

The colour of the dots

3. When comparing two groups using dot plots, what should you examine?

Only the highest values

Centre, spread, and shape of distributions

Only the number of data points

The gaps between dots

🔍 Part 2: Critical Analysis

4. A bar graph shows "Students love mathematics!" with a y-axis starting at 85% instead of 0%. What makes this misleading?

5. You survey 20 students about their favourite sport and find 60% prefer rugby. Can you conclude that 60% of all New Zealand teenagers prefer rugby? Explain why or why not.

6. A scatter plot shows temperature (°C) vs ice cream sales ($). Describe what you would expect to see and explain one conclusion you could draw.

⭐ Part 3: Extension Challenge

7. Advanced: A study claims "People who eat more vegetables live longer" based on a survey. List three questions you would ask to evaluate this claim critically.

8. Extension Activity: Design a brief survey question about student transport to school. Explain what type of graph would best display your results and why.

9. Reflection: Complete this sentence: "When I see data in the news or online, I should always check for _________________ because _________________."