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AQA GCSE · Question 04 · Data Visualization and Representation

Which of these diagrams could be suitable for displaying raw discrete data?

Answer options:

A.

frequency polygon

B.

cumulative frequency curve

C.

equal width histogram

D.

stem-and-leaf diagram

How to approach this question

Consider the properties of each diagram type. "Raw discrete data" means individual, countable data points (like number of siblings, shoe size). Which of the listed diagrams is designed to show every single one of these individual data points?

Full Answer

D.stem-and-leaf diagram✓ Correct
stem-and-leaf diagram
Let's review the options:\n- **Frequency polygon:** Joins the midpoints of the tops of bars in a histogram. Used for grouped or continuous data.\n- **Cumulative frequency curve:** Shows the running total of frequencies. Used for grouped continuous data.\n- **Equal width histogram:** Uses bars to show frequency of continuous data within specific intervals. There are no gaps between bars.\n- **Stem-and-leaf diagram:** Organises numerical data by splitting each value into a "stem" (the first digit or digits) and a "leaf" (the last digit). It displays the raw data values in a compact, ordered form. This makes it ideal for raw discrete data.

Common mistakes

✗ Confusing histograms with bar charts (bar charts are for discrete data, but stem-and-leaf is better for raw data).\n✗ Not understanding the difference between discrete and continuous data.

Practice the full AQA GCSE Statistics Foundation Tier Paper 2

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