📊 Part A: Multiple Choice Questions (10 marks)

Instructions: Circle the letter of the correct answer. Each question is worth 1 mark.

📈 Part B: Calculations and Data Interpretation (20 marks)

Books Read: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Frequency: 2, 4, 6, 8, 5, 3, 4, 2, 1, 1, 1

a) Calculate the mean number of books read. Show your working. (2 marks)

b) Find the median number of books read. (1 mark)

c) Determine the mode. (1 mark)

d) Calculate the range. (1 mark)

a) What percentage of students chose Football as their favourite sport? (2 marks)

b) Draw a bar graph to represent this data in the space below. (2 marks)

Note: Imagine a box plot showing Class A with Q1=65, Median=75, Q3=85, Min=50, Max=95 and Class B with Q1=70, Median=78, Q3=88, Min=60, Max=90

a) Which class has the higher median score? (1 mark)

b) Calculate the interquartile range (IQR) for Class A. (2 marks)

c) Which class shows more variability in scores? Explain your answer. (3 marks)

a) Calculate the range. (1 mark)

b) Calculate the interquartile range. (1 mark)

c) Draw a box plot for this data in the space below. (3 marks)

🔍 Part C: Data Collection and Analysis (12 marks)

a) Identify the population for this investigation. (1 mark)

b) Suggest an appropriate sample size and explain why this size would be suitable. (2 marks)

c) Describe one potential source of bias in this investigation and suggest how it could be avoided. (3 marks)

a) Design a data collection method to test this claim. Include details about sampling method, sample size, and data collection technique. (4 marks)

b) Identify two potential limitations of your proposed method. (2 marks)

🎯 Part D: Advanced Analysis and Critical Thinking (8 marks)

Critically evaluate this survey method and results. In your response, discuss potential biases, limitations, and suggest improvements to make the survey more reliable.

Note: Imagine a scatter plot showing a positive correlation between study hours (x-axis, 0-20 hours) and test scores (y-axis, 40-100%)

Analyse this graph and provide evidence-based conclusions about the relationship between study time and test performance. Discuss any limitations in drawing conclusions from this data.

📋 Instructions and Mark Allocation Summary

Part A (Multiple Choice): 10 marks - Basic statistical concepts and definitions

Part B (Calculations): 20 marks - Statistical calculations and data interpretation

Part C (Data Collection): 12 marks - Planning investigations and identifying bias

Part D (Advanced Analysis): 8 marks - Critical evaluation and evidence-based conclusions

Total: 50 marks

Grade Distribution:

• C Grade Questions (70%): Questions 1-10, 11-14 - Focus on basic understanding and application

• B Grade Questions (20%): Questions 15-16 - Intermediate skills in planning and analysis

• A Grade Questions (10%): Questions 17-18 - Advanced reasoning and critical evaluation