This collection features six resources on the topic of averages and spread.

The resources feature:

  • Concept development lessons that focus on developing conceptual understanding of significant mathematical ideas.
  • Problem solving lessons that focus on the application of previously learned mathematics to non-routine unstructured problems.
  • Tasks that provide mathematically rich problems that come with work for students to peer assess.

The Mathematics Assessment Resource Service (MARS) is a collaboration between the University of California at Berkeley and the Shell Centre team at the University of Nottingham, with support from the Bill and Melinda Gates Foundation. The team is known around the world for its innovative work in maths education.

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Comparing data using statistical measures

This is a concept development lesson, designed to help students make meaningful comparisons between data sets. There is a particular focus on central tendency and variability. Topics covered include:

  • Mean
  • Median
  • Outliers
  • Standard deviation
  • Mean absolute deviation...

Statistics and probability (MARS)

This task is designed to assess how well students understand assigning probabilities and working with statistical measures.

There are a series of five short tasks for students to complete. Each comes with a detailed rubric.

This task is from the Mathematics Assessment Resource Service, a collaboration...

Suzi’s company: frequency tables

This task is designed to assess how well students understand:

  • Calculating the mean from a frequency table
  • Working out the mode from a frequency table
  • Using statistical measures to justify a statement

The task looks at salaries in a small company. Information on salaries...

Interpreting data: muddying the waters

This is a problem solving lesson, designed to assess how well students are able to:

  • Interpret data and evaluate statistical summaries
  • Critique someone else’s interpretations of data and evaluations of statistical summaries

In addition, the lesson highlights some of the common...

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