Data Analysis and Presentation

WALT: We Are Learning To analyse collected data using mean, median and mode and present findings with clear visualisations.

Success criteria: Calculate mean, median and mode; choose an appropriate graph; describe patterns with evidence.

Differentiation: Use step-by-step scaffolds or a calculator if needed. Pair for peer support.

Extension: Investigate how an outlier changes the mean, median and your chosen graph.

Name:

Date:

📊 Part 1: Calculations & Choice

1. Calculate the mean (average) height of these students (cm): 150, 155, 148, 152, 160. Show your working.

2. Find the median number of books read this term: 2, 5, 3, 4, 8.

3. Which is the mode of these shoe sizes? 5, 6, 6, 7, 5, 6

4. For survey data about favourite sports (counts per sport), which visualisation is usually best? Pick one and explain why in one sentence.

Bar graph

Dot plot

Line graph

✏️ Part 2: Representing & Interpreting Data

5. Draw a dot plot for these daily step counts (hundreds): 6, 7, 5, 7, 8, 6, 7. Use the drawing box below (label your axis and scale).

6. Compare these two groups' quiz scores. Group A: 12, 14, 15, 13, 16. Group B: 10, 12, 18, 14, 20. a) Calculate the mean and median for each group. b) Which group performed better overall? Give one reason using your calculations.

7. Explain in 1–2 sentences how adding an outlier (e.g. a very high value) would affect the mean and the median. Which is more affected?

8. Write a short conclusion (2–3 sentences) that answers an investigative question such as "Which lunchtime activity gets the most participation?" Use evidence from your calculations or graph.