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These are the Transum resources related to the statement: "Pupils should be taught to describe, interpret and compare observed distributions of a single variable through: appropriate graphical representation involving discrete, continuous and grouped data; and appropriate measures of central tendency (mean, mode, median) and spread (range, consideration of outliers)".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Averages Video Revise how to calculate the mean, median, mode and range from lists and frequency tables.
- Averages Test your understanding of averages with this self marking quiz about mean, median and range.
- Choose Your Average This is a game for two players. You should know how to find the mean, median and range of a set of numbers.
- Box Plots Video Box plots, sometimes called box and whisker diagrams, are a useful way of visualising data.
- Box Plots An exercise on reading and drawing box-and-whisker diagrams which represent statistical data.

Here are some exam-style questions on this statement:

- "
*The following table shows the time taken by fifty people to answer their emails one day.*" ... more - "
*A basket contains apples and oranges. The mean weight of the 9 apples in the basket is 265g. The mean weight of all 21 items of fruit in the basket is 290g.*" ... more - "
*The following table show data collected by a researcher about the length of monitor lizards living in a park in Bangkok.*" ... more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

- Averages "Average" is a very general term that is used commonly in everyday English and most people have an idea what it means. Mathematicians like to be a little more precise however and have come up with a number of different ways of finding a measure of central tendency. Pupils at school should develop their understanding of averages so that they can more precisely communicate information to others and are not misled by statistics presented in a way to distort the facts. Pupils should understand and use the mean of discrete data. They should be able to compare two simple distributions using the range and one of the mode, median or mean. See also the topics called Data Handling and Statistics.
- Statistics Statistics is the study of the collection, organisation, analysis, interpretation and presentation of data. It deals with all aspects of data, including the planning of data collection in terms of the design of surveys and experiments. It also includes describing mathematical relationships between variables and presenting these to an audience in a way that best conveys meaning. See also the topics called Data Handling, Probability and Averages.

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