Statistics Relationships Quiz

Name:

Date:

Statistics and data analysis illustration

📋 Instructions

WALT (We Are Learning To): Analyse and interpret statistical relationships and make comparisons between data sets.

Success Criteria:

• Identify different types of statistical relationships

• Compare data sets using appropriate measures

• Interpret correlation and causation correctly

• Draw valid conclusions from statistical evidence

Instructions: Read each question carefully. Choose the best answer for multiple choice questions. Write clear, complete sentences for short answer questions. You have 45 minutes to complete this quiz.

📊 Part 1: Multiple Choice & True/False

1. Which statement best describes a positive correlation?

As one variable increases, the other decreases

As one variable increases, the other also increases

There is no relationship between the variables

The variables are perfectly equal

2. True or False: Correlation always implies causation.

True

False

3. Which measure is most appropriate for comparing the spread of two data sets?

Mean

Median

Standard deviation

Mode

4. A correlation coefficient of -0.85 indicates:

A weak positive relationship

A strong negative relationship

No relationship

A perfect positive relationship

5. True or False: When comparing two data sets, the one with the larger mean always has the larger median.

True

False

✏️ Part 2: Data Interpretation & Short Answers

6. Two cricket teams have the following batting averages over 10 matches:

Team A: 45, 52, 38, 41, 49, 55, 43, 47, 51, 44

Team B: 48, 48, 48, 49, 47, 48, 49, 48, 47, 48

Which team is more consistent? Explain your reasoning.

7. A study finds that students who eat breakfast score higher on maths tests. Does this prove that eating breakfast causes better maths performance? Explain your answer.

8. The heights (in cm) and shoe sizes of 8 students are recorded:

Height: 165, 170, 158, 175, 162, 180, 155, 168

Shoe Size: 8, 9, 6, 10, 7, 11, 5, 8

Describe the type of relationship you would expect between these variables and explain why.

9. Two classes sat the same test. Class A had a mean of 72% and standard deviation of 15. Class B had a mean of 68% and standard deviation of 8. Compare the performance of these two classes.

10. A scatter plot shows the relationship between hours of study and test scores. The correlation coefficient is 0.65. Interpret this value and explain what it tells us about the relationship.

🎯 Extension Activity (For Advanced Learners)

Challenge: Design a brief investigation to explore the relationship between two variables of your choice (e.g., temperature and ice cream sales, study time and sleep hours). Describe:

• Your hypothesis

• How you would collect data

• What type of relationship you might expect

• Potential confounding variables