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Year 8 - Maths

Statistical problems - data presentations

Numerical summaries of data

Unit Summary

In this unit pupils explore the concept of measures of central tendancy, developing understanding of different types of average and their relative benefits and drawbacks. We then investigate other summaries of data such as the range and data comparison techniques.

Lesson Summary

You will learn to choose appropriate representations to explore a statistical problem.

Key Notes

  • Graphical representations should effectively represent the data.
  • Some graphical representations are easier to understand than others.
  • Graphical representations may be chosen to emphasise a particular conclusion.

Vocabulary To Learn

  • pictogram: A pictogram (pictograph) is a graph consisting of pictures to visually represent the frequency of objects or groups.
  • bar chart: A bar chart (bar graph) is a graph consisting of bars visually representing the frequency of objects or groups.
  • scatter graph: A visual representation for bivariate data. It can be useful when determining the nature of the relationship between two variables
  • pie chart: A bar chart (bar graph) is a graph consisting of bars visually representing the frequency of objects or groups

Common Mistakes To Avoid

  • You always need to start the axis of a scatter graph at (0,0).

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

Graphical representations should effectively represent the data. Some graphical representations are easier to understand than others.

2. Use this key word in a maths sentence and explain it clearly. 'pictogram'

A pictogram (pictograph) is a graph consisting of pictures to visually represent the frequency of objects or groups. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: You always need to start the axis of a scatter graph at (0,0). Correction: The axis of a scatter graph should use a scale that makes the points as clear to see as possible, without distorting the shape of the data.

More Lessons In This Unit

Browse all guides in the Year 8 Maths guide library.