The Normal Distribution – Using the Curve

This is an introductory activity on understanding the shape of a Normal distribution curve. Students are given a worksheet that contains an annotated diagram showing the proportions of the area under the standard Normal curve between various intervals. They use this to make qualitative statements about areas under other Normal curves.

+
Overview of task

This is an introductory activity on understanding the shape of a Normal distribution curve. Students are given a worksheet that contains an annotated diagram showing the proportions of the area under the standard Normal curve between various intervals. They use this to make qualitative statements about areas under other Normal curves.

+
Strand

Statistics

+
Prior knowledge

  • Appreciation of standard deviation as measure of spread.
  • Ability to represent data as a bar chart.

+
Relevance to Core Maths qualifications

  • AQA
  • C&G
  • OCR

+
Suggested approaches

Suitable for group work or independent learning, with opportunities afforded for class discussion at several points.

+
Resources/documentation

Worksheet for students.

+
Relevant digital technologies

Not required. The calculations have been designed so that mental calculations should reassure students of the reasonableness of their answers.

+
Possible extensions

Students could be asked to calculate the Standard Deviation of the data from the Housefly sample in the worksheet.

+
Acknowledgement

Developed by Martin Wilson at Harrogate Grammar School and Yorkshire Ridings Maths Hub.