Myths about teaching can hold you back
- Year 11•
- Higher
- Year 11•
- Higher
Constructing a cumulative frequency graph
I can construct a cumulative frequency graph.
Lesson details
Key learning points
- 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
Keywords
Cumulative frequency - Cumulative frequency is the total of all frequencies up to a defined class. It is the 'running total' of frequencies.
Common misconception
Plotting the midpoint of the class against the cumulative frequency.
Ensure that the pupils are clear that each cumulative frequency includes all values up to the upper boundary of each group.
To help you plan your year 11 maths lesson on: Constructing a cumulative frequency graph, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Constructing a cumulative frequency graph, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Graphical representations of data: cumulative frequency and histograms unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.This is a table showing the colours of some cars in a car park. Which of the following could be a title for the third column?

Q2.This table shows the colours of 100 cars in a car park. How many are white?

Q3.What is the upper boundary of this group? $$20 < x \leq40$$
Q4.Which two numbers are covered in this table?

Q5.What are the coordinates of point A? (Remember to write your answer using brackets.)

Q6.What are the coordinates of point B? (Remember to write your answer using brackets.)

Assessment exit quiz
6 Questions
Q1. frequency is the total of all frequencies up to a defined class. It is the 'running total' of frequencies.
Q2.What is the next cumulative frequency?

Q3.What is the missing cumulative frequency?

Q4.When plotting the points on a cumulative frequency graph you plot the cumulative frequency against what?
Q5.After the points have been plotted what should you do next?
Q6.What coordinates should be plotted for the third point?
