GCSERevise
AQASpec S1-S3Foundation & Higher~25 min

Collecting & Representing Data

Mathematics · Topic revision workspace

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Read the notes, score 80% and know 75% of the cards.

Topic overview

What you need to know

Collecting & Representing Data is a key part of GCSE Mathematics. Build fluency with the method, then apply it to unfamiliar and multi-step problems. Data that can only take specific values, usually counted in whole numbers. E.g. number of siblings. Data that can take any value within a range, usually measured. E.g. height, weight, time. A chart using rectangular bars to represent discrete data. Bars are separated by gaps.

Exam tip

Write every stage of your method. Method marks can still be earned when the final answer is wrong.

Revision notes

Core ideas

Secure these ideas first. Say each definition in your own words, then connect it to the topic overview.

  • Discrete Data: Data that can only take specific values, usually counted in whole numbers. E.g. number of siblings.
  • Continuous Data: Data that can take any value within a range, usually measured. E.g. height, weight, time.
  • Bar Chart: A chart using rectangular bars to represent discrete data. Bars are separated by gaps.
  • Histogram: A chart for continuous grouped data where frequency density is plotted on the y-axis. Bars have no gaps. Frequency = frequency density × class width.

Revision notes

Apply it in the exam

The exam will rarely ask for an isolated definition. Practise selecting the right idea and using it as part of a complete explanation or method.

  • Pie Chart: A circular chart divided into sectors where each sector angle represents the proportion of each category. Angle = (frequency ÷ total) × 360°.
  • Scatter Diagram: A graph plotting pairs of values to show the relationship (correlation) between two variables.
  • Correlation: The relationship between two variables. Positive: both increase together. Negative: one increases as the other decreases. None: no pattern.
  • Line of Best Fit: A straight line drawn through a scatter diagram that best represents the trend of the data.

Core knowledge

Key facts for Collecting & Representing Data

1

Discrete Data

Data that can only take specific values, usually counted in whole numbers. E.g. number of siblings.

2

Continuous Data

Data that can take any value within a range, usually measured. E.g. height, weight, time.

3

Bar Chart

A chart using rectangular bars to represent discrete data. Bars are separated by gaps.

4

Histogram

A chart for continuous grouped data where frequency density is plotted on the y-axis. Bars have no gaps. Frequency = frequency density × class width.

5

Pie Chart

A circular chart divided into sectors where each sector angle represents the proportion of each category. Angle = (frequency ÷ total) × 360°.

6

Scatter Diagram

A graph plotting pairs of values to show the relationship (correlation) between two variables.

7

Correlation

The relationship between two variables. Positive: both increase together. Negative: one increases as the other decreases. None: no pattern.

8

Line of Best Fit

A straight line drawn through a scatter diagram that best represents the trend of the data.

Active recall

Close the notes and answer these

  1. 1.Without looking, explain discrete data and give one example or consequence.
  2. 2.Without looking, explain continuous data and give one example or consequence.
  3. 3.Without looking, explain bar chart and give one example or consequence.
  4. 4.Without looking, explain histogram and give one example or consequence.

Content reviewed 23 July 2026 against the current linked specification.

Finished learning?

Mark the notes complete, then test what you can recall.

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