Population Data - Lesson 6

This is the sixth of seven linked lessons that provide the basis for an extended piece of statistical work based on population data. All seven lessons make use of population data sets available from the Population Research Bureau. This lesson focuses on the use of cumulative frequency diagrams and box plots.

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Overview of task

This is the sixth of seven linked lessons that provide the basis for an extended piece of statistical work based on population data. All seven lessons make use of population data sets available from the Population Research Bureau. This lesson focuses on the use of cumulative frequency diagrams and box plots.

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Mathematical strand

Statistics

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Prior knowledge

This sequence of lessons should be accessible by all Core Maths students. Students need a good knowledge of summary statistics and graphical representations, as covered at GCSE level, and should have completed the previous five lessons in the sequence.

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Relevance to Core Maths qualifications

•AQA

•C&G

•Eduqas

•Pearson / Edexcel

•OCR

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Suggested approaches

Full teacher guidance is provided in the notes to the accompanying PowerPoint presentation. This activity provides a good starting point for paired or group work, including classroom discussion of the relationship between cumulative frequency diagrams and the corresponding box plots.

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Resources/documentation

The annual World Population Data Sheet provides a wealth of useful data, which is referred to throughout this lesson. The Student resource sheet includes answer sheets for the presentation questions in all of the seven lessons; if students are using spreadsheets they can manage without the resource sheet; otherwise, it will definitely be needed. An assessment activity is also supplied as a separate worksheet.

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Relevant digital technologies

Students will need access to a spreadsheet, and would benefit from using some of the powerful data visualisation tools available on the internet, comparing these to the more ‘traditional’ static formats used here. Geogebra is a powerful free software package that will draw cumulative frequency diagrams and boxplots.

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Possible extensions

Suggestions for extensions are provided in the PowerPoint presentation.

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Acknowledgement

Developed by Tom Carpenter.