Year 11 - Maths
Constructing a cumulative frequency graph
Graphical representations of data: cumulative frequency and histograms
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit, pupils consider cumulative frequency graphs and histograms, and compare these with other known graphical representations.
Lesson Summary
You will learn to construct a cumulative frequency graph.
Key Notes
- A cumulative frequency graph can be drawn from a frequency table
- It can be easier to create another column to sum the frequencies
- Cumulative frequency graphs are drawn as smooth curves
Vocabulary To Learn
- Cumulative frequency: Cumulative frequency is the total of all frequencies up to a defined class. It is the 'running total' of frequencies.
Common Mistakes To Avoid
- Plotting the midpoint of the class against the cumulative frequency.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A cumulative frequency graph can be drawn from a frequency table. It can be easier to create another column to sum the frequencies.
2. Use this key word in a maths sentence and explain it clearly. 'Cumulative frequency'
Cumulative frequency is the total of all frequencies up to a defined class. It is the 'running total' of frequencies. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Plotting the midpoint of the class against the cumulative frequency. Correction: Ensure that the pupils are clear that each cumulative frequency includes all values up to the upper boundary of each group.
More Lessons In This Unit
- Comparing box plots Study Guide
- Constructing box plots Study Guide
- Constructing histograms and box plots using technology Study Guide
- Histograms with equal bar width Study Guide
- Histograms with unequal bar width Study Guide
- Interpreting a cumulative frequency graph Study Guide
- Interquartile range Study Guide
- Moving between tables and histograms Study Guide
- Problem solving with cumulative frequency and histograms Study Guide
- Summary statistics from histograms Study Guide
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