1. Chapter 10 Statistics and handling data

2. Chapter Summary
This chapter focuses on the data handling cycle and emphasises the importance of treating the cycle holistically
The chapter introduces a range of ways that data can be represented and revisits measures of ‘spread’.
The chapter also introduces probability

3. Starting point
Look at this column graph. Write down three different sets of data that the graph could be illustrating. You can define for yourself what the numbers 1-6 along the x-axis (the horizontal axis) stand for. If you work with friends on this describe how you decided on your answers.

4. The Data Handling Cycle

5. Conservation of area
Make as many different rectilinear shapes as you can with an area of 36 square units.
Write down the perimeters of these shapes.
What do you notice?

6. Discrete and Continuous Data
Discrete data can be counted. For example the different ways that pupils travel to school; the months in which your pupils have birthdays.
Continuous data has to be grouped in order to represent it. For example the heights of pupils or the time taken for your pupils to run 50m.

7. Representing Data Pictograms Bar and line charts Line graphs
Venn Diagrams
Carroll Diagrams

8. Probability It is very likely that … There is a 50/50 chance that ...
It is unlikely that …
It is certain that ...
It is impossible for ...
It is usual for ...
Complete these sentences and write them on a probability scale

9. Probability: Equally likely items
Explain why these statements are not true:
Tomorrow it will either rain or not rain, so the probability it will rain tomorrow is 0.5.
I roll two dice and add the results. The probability of getting a total of 6 is 1/12 because there are 12 different possibilities and 6 is one of them.
Tony needs to have an operation. 90% of people who have this operation make a complete recovery. There is a 90% chance he will make a complete recovery.
Karen buys two raffle tickets. If she chooses two tickets from different places in the book he is more likely to win than if he chooses two consecutive tickets.

10. Mean, median and mode
Mean: The total of all the items of data divided by the number of items of data
Median: The middle item of data when they are all arranged in order
Mode: The data value that occurs most frequently

11. Observing the teaching of statistics and handling data
Watch the two examples of teaching the data on the companion website:
What are the advantages of using the pupils to create bar charts?
How else could you involve learners directly in representing data?
How can you safeguard pupils’ self esteem when using athletics activities to collect data?
How can you make sure that all pupils are involved and active?

12. If the world was a village of 100 people