Averages Problems: Missing Values & Combined Means

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About Course

Many exam and real-life questions give you an average and ask you to work backwards: find a missing value, work out what score is needed, or combine the means of two groups. This course teaches one key idea – total = mean × number of values – and applies it to every type of “reverse mean” problem.

Tutwoo is an independent learning provider. This course supports maths learning and revision and is not produced or endorsed by any exam board. It is not an accredited qualification.

What Will You Learn?

  • Use total = mean × number of values to work backwards from a mean
  • Find a missing value or a target score needed to reach a given mean
  • Combine the means of two or more groups correctly (and avoid averaging the averages)
  • Solve problems where a value is added, removed or changed

Course Content

Course Lessons

  • The key idea: total = mean × number
  • Finding a missing value or target
  • Combining groups
  • Mixed problems and checks

Sources & Further Reading
The official guidance this course is based on.

Final Assessment

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