Year 11 - Maths
Constructing histograms and box plots using technology
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 histograms and box plots utilising technology.
Key Notes
- Histograms can be drawn quickly using technology
- Using the raw data allows software to calculate equal bin widths easily
- Box plots can be drawn using the same data to allow comparison
- You can compare the shape of the histogram to its box plot
Vocabulary To Learn
- Histogram: A histogram is a diagram consisting of rectangles whose area is proportional to the frequency in each class and whose width is equal to the class interval.
- 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
- When using Desmos, incorrect brackets () are used to input raw data as elements.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Histograms can be drawn quickly using technology. Using the raw data allows software to calculate equal bin widths easily.
2. Use this key word in a maths sentence and explain it clearly. 'Histogram'
A histogram is a diagram consisting of rectangles whose area is proportional to the frequency in each class and whose width is equal to the class interval. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When using Desmos, incorrect brackets () are used to input raw data as elements. Correction: [] are used to denote a set of data elements or elements. Encourage pupils to think about set notation when using Venn diagrams. Desmos will reject the use of () as they do not denote a set of elements.
More Lessons In This Unit
- Comparing box plots Study Guide
- Constructing a cumulative frequency graph Study Guide
- Constructing box plots 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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