📊 Part 1: Central Tendency

1. A netball team's scores over 8 games were: 45, 52, 48, 45, 60, 47, 45, 53. What is the mode?

45

49.4

47.5

48

2. For the same netball scores, calculate the mean:

3. When might the median be more useful than the mean for describing data?

When there are outliers present

When the data is perfectly symmetrical

When you want the highest value

When calculating is too difficult

4. A class has test scores with a mean of 75% and a median of 78%. What does this suggest about the distribution?

📈 Part 2: Variability and Spread

5. Two rugby teams have the same average score of 24 points per game. Team A has a range of 6 points, Team B has a range of 18 points. Which statement is most accurate?

Team A is more consistent in their performance

Team B is more consistent in their performance

Both teams perform exactly the same

Team B scores higher on average

6. For the data set: 12, 15, 18, 22, 25, 28, 35, calculate the interquartile range (IQR):

7. Why is it important to consider both central tendency AND variability when describing data? Give a real-world example.

🔍 Part 3: Data Interpretation

8. Two coffee shops track daily customer numbers. Shop A: mean = 85, range = 20. Shop B: mean = 85, range = 60. Which features would you investigate further and why?

9. A weather station reports: "Average temperature this month was 18°C with a standard deviation of 2°C." In your own words, explain what this tells us about the weather patterns.

10. Complete this statement: "When describing a data set, I should always include measures of _____________ and _____________ because..."

When describing a data set, I should always include measures of _____________ and _____________ because ________________________________________________.