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Exploring Data Outliers

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Exploring Data Outliers

Data analysis illustration

📊 Part 1: Identifying Outliers

1. Here are the daily temperatures (°C) in Auckland for one week: 18, 19, 17, 31, 20, 18, 19

Which temperature is an outlier? Circle your answer:

18°C

31°C

17°C

19°C

2. Basketball scores from last weekend's games: 65, 72, 68, 15, 71, 69, 66

The outlier in this data set is: ___________

Explain why this value is an outlier:

3. Heights of Year 8 students (cm): 155, 162, 158, 160, 159, 161, 157, 200, 156

Circle all the statistical terms that help us identify outliers:

Range

Median

Cluster

Mode

4. Create a dot plot for the basketball scores from question 2. Mark the outlier clearly.

✏️ Part 2: Explaining and Reasoning

5. Look at this rainfall data (mm) for Christchurch in January: 2, 3, 0, 1, 2, 45, 1, 0, 3

a) The outlier is: _____ mm

b) Give two possible real-world reasons why this outlier might have occurred:

Reason 1: ________________________________________________
Reason 2: ________________________________________________
6. A class collected data on how many books students read over the holidays: 3, 5, 4, 2, 6, 4, 25, 3, 5, 4

Explain how the outlier (25) might affect the average number of books read. Use mathematical vocabulary in your explanation.

7. You are helping the school choose a new uniform supplier. The delivery times (days) from different companies are: 5, 7, 6, 8, 45, 6, 7

Should you include the outlier (45 days) when making your recommendation? Explain your reasoning.

🤔 Part 3: Reflection

8. Complete this definition:

An outlier is a data point that _________________________________

_____________________________________________________________

9. Think about a real situation where identifying an outlier would be important (e.g., sports, weather, school results). Describe the situation and explain why the outlier matters.
10. Reflection: How can outliers change the way we interpret data? Give one example.

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