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Data Distributions SAC

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Data Distributions SAC worksheet preview

Data Distributions SAC

Data analysis graphs and charts

📊 Part A: Multiple Choice (8 marks)

Instructions: Choose the best answer for each question. Circle the letter of your choice.

1. In the 2023 Super Bowl, which team scored the most points?

A) Kansas City Chiefs

B) Philadelphia Eagles

C) San Francisco 49ers

D) Cincinnati Bengals

2. What was the total number of touchdowns scored in the 2023 Super Bowl?

A) 5

B) 6

C) 7

D) 8

3. Which player was awarded the MVP of the 2023 Super Bowl?

A) Patrick Mahomes

B) Jalen Hurts

C) Travis Kelce

D) A.J. Brown

4. What was the final score of the 2023 Super Bowl?

A) 31-28

B) 35-24

C) 27-24

D) 30-27

📈 Part B: Data Analysis (20 marks)

Data Set: The following data represents the points scored by the Kansas City Chiefs and Philadelphia Eagles in the 2023 Super Bowl:

38, 35, 24, 27, 31, 28, 21, 30, 26, 29

5. Calculate the following measures of central tendency: (6 marks)

a) Mean: ________________ points

b) Median: ________________ points

c) Mode: ________________ points

6. Calculate the following measures of spread: (4 marks)

a) Range: ________________ points

b) Interquartile Range (IQR): ________________ points

7. Create a box plot for the points data in the space below: (4 marks)
8. Describe the shape of this distribution and justify your answer: (3 marks)
9. Are there any outliers in this data set? Show your working and explain your conclusion: (3 marks)

🔍 Part C: Comparison and Interpretation (12 marks)

Scenario: The Kansas City Chiefs and Philadelphia Eagles had the following statistics:

Kansas City Chiefs: Mean = 31.5, Median = 30, IQR = 7, Range = 17

Philadelphia Eagles: Mean = 28.5, Median = 28, IQR = 6, Range = 17

10. Compare the central tendency of both teams. Which team performed better overall? Justify your answer: (4 marks)
11. Compare the variability of both teams. Which team has more consistent results? Explain your reasoning: (4 marks)
12. Based on the relationship between the mean and median for each team, comment on the likely shape of each distribution: (4 marks)

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