Year 11 - Maths
Constructing box plots
Graphical representations of data: cumulative frequency and histograms
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Study Guides
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 box plot.
Key Notes
- A box plot requires 5 pieces of information
- These are lowest value, lower quartile, median, upper quartile and highest value
- Outliers should be included in the range for now
- At A level, there are suggested ways to identify outliers and indicate these
Vocabulary To Learn
- Box plot: A box plot is a diagram that clearly shows the minimum and maximum value of a data set along with the three quartiles.
Common Mistakes To Avoid
- Forgetting to order the list of data before finding the 5 key pieces of information.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A box plot requires 5 pieces of information. These are lowest value, lower quartile, median, upper quartile and highest value.
2. Use this key word in a maths sentence and explain it clearly. 'Box plot'
A box plot is a diagram that clearly shows the minimum and maximum value of a data set along with the three quartiles. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Forgetting to order the list of data before finding the 5 key pieces of information. Correction: Ask some pupils to stand at the front of the classroom. Find the person in the middle, and pose the question "is they the median sized person?" Repeat with quartiles. This should highlight the importance of putting the numbers in order first.
More Lessons In This Unit
- Comparing box plots Study Guide
- Constructing a cumulative frequency graph 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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