Representing data
Term 1 starting in week 10 :: Estimated time: 2 weeks
- Draw and interpret scatter graphs
- Understand and describe linear correlation
- Draw and use line of best fit
- Identify non linear relationships
- Identify different types of data
- Read and interpret ungrouped frequency tables
- Read and interpret grouped frequency tables
- Represent grouped discrete data
- Represent continuous data grouped into equal classes
- Represent data in two way tables
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Activities for pupils
Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. 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.
Bar Charts Practise constructing and interpreting bar charts for everyday situations.
Pie Charts Develop the skills to construct and interpret pie charts in this self-marking set of exercises.
Pie Chart Creator A quick and convenient tool for rapidly creating simple pie charts.
Averages Test your understanding of averages with this self marking quiz about mean, median and range.
Histograms Practise drawing and reading information from histograms displaying grouped data
Tally Charts Read and draw simple tally charts to record and count different types of data.
Tally Charts Video A guided tour through the levels of the Tally Charts online exercise.
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.
Cartoon Scatter Graph Place the cartoon characters on the scatter graph according to their height and age.
Correlation Arrange the given statements in groups to show the type of correlation they have.
Reading Graphs and Charts Answer real-life problems from different types of graphs and charts including piece-wise linear graphs.
Human Scatter Graphs Pupils move to positions in the room according to their data relative to the walls as axes.
Mixed Medians Find the medians of sets of different types of numbers in these self-marking exercises.
StatGrid Challenge Arrange the numbers one to nine in a three by three grid to obtain the given means, medians and ranges.
Comparing Graphs Would you recognise a misleading graph if you saw one? Try this comparative judgement exercise to rate statistical graphs.
Plotting Scatter Graphs Plot scatter graphs from data representing a number of different everyday situations.
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.
First Impressions This activity will collect data about your first impressions of some optical illusions. You can then analyse the data to come to your own conclusions.
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.
- Data Handling Data is talked about more this decade than ever before. Whether it be how social media companies deal with your personal data or how analysing data can improve algorithms for systems that make everyday life easier or more profitable. Pupils are first introduced to small, familiar data sets and learn to visualise them in many different ways. They may produce their own data from experiments, observations or games and will then describe their data in different ways. Pupils will calculate averages and other summary measures (mean, median, mode range) and produce bar charts, pie charts and box plots. Older pupils will use technology to help analyse larger data sets and will be introduced to inter-quartile range and standard deviation. They will draw conclusions from scatter diagrams, and have a basic understanding of correlation. They will learn how to apply statistical information to calculate probabilities. See also the topics called Statistics, Averages and Probability.
- Live Data One of the big differences between Maths from a textbook and Maths from the web is the possibility of using live data. This possibility gives problem solving real context and allows investigating statistical connections to be far more meaningful.
- 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.
Lesson Starters
Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.
1st Lesson
Choc Bar Chart
Interpret data given in the form of a bar chart then create a new bar chart showing the given statistics.
2nd Lesson
Shunting Problem
Allow two trains to pass by using the limited amount of siding space.
3rd Lesson
Hot Estimates
Estimate the number of chillies in the photograph.
4th Lesson
Hotel Sumview
Can you work out what rooms at the hotel the family booked to produce the given bill?
5th Lesson
Hold 'Em Up!
Everyone in the class holds up an item to show which is the correct answer to the multiple choice question.
6th Lesson
Boxing Day
Work out the contents and the cost of the Christmas boxes from the given clues.
Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.
