Who has the best results?

This task will help students understand how standardisation can be used to make comparisons. The students are provided with a list of pupils and their marks in different subjects. They are also given the mean and standard deviation scores for each subject. By standardising the scores the students can then find the mean standardised score for each pupil and rank them.

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Overview of task

This task will help students understand how standardisation can be used to make comparisons. The students are provided with a list of pupils and their marks in different subjects. They are also given the mean and standard deviation scores for each subject. By standardising the scores the students can then find the mean standardised score for each pupil and rank them.

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Strand

Statistics

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Prior knowledge

The mean and standard deviation.

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Relevance to Core Maths qualifications

•AQA

•C&G

•Eduqas

•Pearson / Edexcel

•OCR

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Suggested approaches

The best way for students to tackle this problem would be to use a spreadsheet. They could work in pairs.

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Resources/documentation

In addition to this teacher guidance there is:

  • a PowerPoint presentation
  • Excel spreadsheets (one blank for the students and a suggested answer sheet).

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Relevant digital technologies

Use of spreadsheet.

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Possible extensions

Whilst the problem does not require a sophisticated approach, it could be extended to include normal distribution tables.

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Acknowledgement

Based on a resource originally developed by Peter Pawlik (MMU) and suggested for Core Maths by Alan Thompson (Haven High Academy, Boston).