Download Chapter 10

Chapter 10
Statistics and handling data
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
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.
The Data Handling Cycle
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?
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.
Representing Data
•
•
•
•
•
Pictograms
Bar and line charts
Line graphs
Venn Diagrams
Carroll Diagrams
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
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.
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
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?
If the world was a village of 100
people