From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students demonstrates that the efficiency of a river can be measured using the hydraulic radius; this depends on the cross-sectional area of the river and the wetted perimeter of the...

This activity from the Nuffield Foundation introduces the use of moving averages and weighted moving averages to smooth out seasonal fluctuations in UK house prices, enabling the yearly trend to be identified. The data provided is adapted from The Halifax House Price Index spreadsheet and although the arithmetic...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students shows how regular sampling of a variety of prices is used to get a measure of inflation. There is more than one possible way to do this. A measure of inflation is used to...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows that income is not equally distributed among all the inhabitants of a country. This can be shown visually using a graph and also measured. The mathematical ideas covered are:
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In this activity from the Nuffield Foundation, students match descriptions of a variety of real scenarios involving motion with the corresponding velocity–time and displacement–time graphs. Several issues will be discussed while completing this task and students will also have to consider how realistic or...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows that derivatives can help to manage risk. The market in derivatives has grown enormously in recent years. On average, speculators break even. The mathematical ideas covered are:
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From the Integrating Mathematical Problem Solving project by Mathematics for Education and Industry (MEI), this activity for post-16 students shows how money which circulates has a greater effect than could be expected. The activity starts by students predicting on what they will spend their wages when they get a...

The Nuffield Foundation provides this activity where students suggest types of function to model ozone hole data, before using a graphic calculator or spreadsheet to find at least two particular models. They then consider how well their functions model the data and what they predict for the future. The slideshow...

In this activity from the Nuffield Foundation, which uses a scenario of parking permits at a college to introduce the topic, students learn about collecting data by stratified sampling and designing a questionnaire. A full review of relevant statistical terms is provided, together with instructions of how to select...

From the Integrating Mathematical Problem Solving project by Mathematics for Education and Industry (MEI), this activity for post-16 students demonstrates that coffee cools gradually because it is hotter than room temperature and heat is lost to the room. Mixing the coffee with milk also cools it but this effect is...

This resource contains seven activities related to population statistics.

Data Assessment...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students shows that correlation can be used to measure the strength of a linear relationship.

Statistical Inference looks for evidence of what is happening in the population by...

In this activity from the Nuffield Foundation, students carry out an experiment to collect data about a trolley rolling down a slope. They then use this data to simulate the motion of a train by fitting a quadratic curve to their data, using a graphic calculator or spreadsheet. The slideshow provides an...

Artificial intelligence (AI) is a disruptive technology, meaning that it is significantly changing the way that people, businesses, and industry interact. To put it in context, the invention of the wheel, electricity, TV, and GPS are all disruptive technologies that changed the way in which society worked.

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This activity allows students to investigate how images are produced from data streams by using first a spreadsheet and then an image-processing program. They then go on to see how the usefulness of such a monochromatic image may be enhanced by using lookup tables and calibration. The materials used focus on the...