AC9M4ST02 • Homework

Comparing Data Displays and Distributions worksheet

Use this printable homework sheet for written working, application and reflection alongside the online learning activities.

Open practice

Eight independent written and practical tasks

Keep source records, digital displays and written explanations. An adult checks practical evidence; unavailable source access remains pending.

  1. Make a table and dot plot for 0,1,1,2,2,2,5,5. Describe the concentration and gaps, then answer a question you write about the data.

  2. Compare data A 4, 5, 5, 6, 6, 7 and B 1, 2, 5, 6, 8, 10 using dot plots with the same scale. Explain which varies more with numerical evidence.

  3. Make a media-style pictograph for 18,24 and 30 visitors with one symbol for 12. Explain all partial symbols and the difference between largest and smallest.

  4. Represent votes Lemon 15, Orange 10, Apple 5 in both a table and a graph. Write which representation helps each of two different questions and why.

  5. Redraw counts 11 and 12 as a fair column graph from 0. Explain how an axis beginning at 10 could exaggerate the difference.

  6. Create a graph for an AI training collection with bicycles 18, buses 2, trains 0. Explain two data-preparation concerns and a sensible next step.

  7. Collect a small genuine whole-number dataset from at least five willing people. Ask a partner to represent it differently from you. Compare accuracy, shape, variation and which display helps answer your question.

  8. A published-style picture has four stars but no key. Explain why its count cannot be known. Add your own clearly labelled hypothetical key and give one possible total; distinguish your assumption from source evidence.

Answers and adult review guidance

  1. Frequencies 0:1,1:2,2:3,3:0,4:0,5:2; total 8. Most are 0–2; gaps 3,4. Check all 8 observations, gaps and correct original question/answer.

  2. B spans 1–10; A spans 4–7. B is more spread out. Check all 12 plotted observations and both endpoints.

  3. Use 1½,2,2½ symbols. Half is 6; difference 12 visitors. Inspect symbols, key and reasoning.

  4. Total 30; table gives exact values; graph aids comparisons. Accept supported choices rather than one universal best display. Inspect accurate representations and two answered questions.

  5. Difference 1; truncated visible lengths 1 and 2 look twofold, while full counts are close. Check equal scale and unchanged values.

  6. Uneven coverage and absent train examples; check labels/collection and seek suitable missing examples. Require accurate graph and no claim of guaranteed AI accuracy.

  7. Results vary; both displays must preserve every recorded value/frequency. Inspect actual records, both authored displays and evidence-based evaluation.

  8. If each star represented 5, total 20; this is a hypothetical interpretation, not a verified source count. Check explicit conditional language and distinction between assumption and evidence.