1. A histogram shows the heights of 60 Year 8 students with class intervals of 5cm. The tallest bar represents heights 155-160cm with a frequency of 18 students. What percentage of students fall into this height range?

2. Compare the advantages and disadvantages of using a histogram versus a frequency polygon to display the same data set. Which would be more appropriate for showing temperature variations over a week?

3. A frequency polygon shows test scores with peaks at 65 marks and 85 marks. What does this bimodal distribution suggest about the class performance? Justify your interpretation.

4. If you were asked to present rainfall data for Sydney over 12 months to the school principal, would you choose a histogram or frequency polygon? Explain your choice considering your audience.

5. A histogram shows mobile phone battery life with the following data: 0-2 hours (5 phones), 2-4 hours (12 phones), 4-6 hours (25 phones), 6-8 hours (18 phones), 8-10 hours (8 phones). Calculate the modal class and explain why this information would be valuable to a phone manufacturer.

6. Two students create different visualisations of the same data about weekly pocket money. Student A uses class intervals of $5 ($0-5, $5-10, etc.) while Student B uses intervals of $10 ($0-10, $10-20, etc.). How might this affect the interpretation of the data? Which approach is better and why?

7. A frequency polygon showing daily temperatures in Melbourne appears to have gaps or missing data points. What could cause this, and how might it affect conclusions drawn from the graph?

8. Evaluate this statement: "Histograms are always more accurate than frequency polygons for displaying continuous data." Provide evidence to support or refute this claim.

9. You've collected data on the time students spend on homework each night. Design a data collection method and explain whether you would present your findings as a histogram or frequency polygon. Justify your choice considering your target audience (parents, teachers, or students).

10. Create a scenario where overlaying two frequency polygons on the same graph would provide valuable insights. Describe the data sets and explain what conclusions could be drawn from the comparison.

11. A sports coach wants to analyse player performance data to make team selections. The data includes sprint times, with most players clustering around 12-13 seconds, but a few outliers at 9-10 seconds and 16-17 seconds. How would you advise the coach to visualise this data, and what insights might they gain?

12. Design a study to compare the effectiveness of histograms versus frequency polygons for helping Year 7 students understand data patterns. What would you measure, and how would you ensure your results are reliable?