Collecting, representing and interpreting data
Term 3 starting in week 1 :: Estimated time: 6 weeks
- Understand populations and samples
- Primary and secondary data
- Construct and interpret frequency tables and frequency polygons
- Construct and interpret two-way tables (review)
- Construct and interpret line and bar charts (including composite bar charts)
- Construct and interpret pie charts (review)
- Criticise charts and graphs
- Find and interpret averages from a list (review)
- Find and interpret averages from a table (review)
- Construct and interpret time series graphs (review)
- Construct and interpret stem-and-leaf diagrams
- Compare distributions using charts and measures
- Construct and interpret scatter graphs (review)
- Draw and use a line of best fit (review)
- Understand extrapolation
For higher-attaining pupils:
- Construct a stratified sample
- Construct histograms
- Interpret histograms
- Construct and interpret cumulative frequency diagrams
- Use cumulative frequency diagrams to find measures
- Construct and interpret box plots
- Compare distributions using complex charts and measures
This page should remember your ticks from one visit to the next for a period of time. It does this by using Local Storage so the information is saved only on the computer you are working on right now.
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.
Pin Drop Estimate the probability of a drawing pin landing point up from experimental data.
Graph Paper Flexible graph paper which can be printed or projected onto a white board as an effective visual aid.
Histograms Practise drawing and reading information from histograms displaying grouped data
Cartoon Scatter Graph Place the cartoon characters on the scatter graph according to their height and age.
Estimating Correlation Practise the skill of estimating the correlation of data on a scatter graph in this self marking exercise.
Correlation Arrange the given statements in groups to show the type of correlation they have.
Human Scatter Graphs Pupils move to positions in the room according to their data relative to the walls as axes.
The Beauty of Data Visualization Complex data sets (like military spending, media buzz, Facebook updates) are turned into beautiful, simple diagrams.
Helicopter View An animated introduction to distance-time graphs. Arial photographs of vehicles moving along a road placed side to side form a graph.
Travel Graphs Video Learn about distance-time graphs, speed-time graphs and how to interpret them.
Visualising Data Hans Rosling's famous lectures combine enormous quantities of public data with a sport's commentator's style to reveal the story of the world's past, present and future development.
Hurdles Race An animated distance time graph to be viewed while a student interprets the graph and comments on the race that produced the graph.
Travel Graphs Test your understanding of distance-time and speed-time graphs with this self-marking exercise.
Cumulative Frequency Online exercises on cumulative frequency for discrete and grouped data with exam-style questions.
Code Cracking Presentation A slide presentation showing techniques for cracking simple codes and ciphers.
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.
Here are some exam-style questions on this topic:
- "This Cumulative Frequency graph shows the heights of 58 Scouts. Work out an estimate for the number of these Scouts with a height greater than 160cm." ... more
- "Ben measured the length and the width of each of 10 sea shells of the same type. The results are shown below." ... more
- "The number of visitors to a cycle track and the number of drinks sold by a café at the location are recorded in the table below." ... more
- "A survey is carried out by asking people questions as they come out of a coffee bar." ... more
- "The grouped frequency table gives information about the times, in minutes, that 90 commuters take to get home from work." ... more
- "The table shows information about the heights of 85 stalagmites." ... more
- "Lyana has drawn a time series graph to show the number of minutes she spent doing homework on some of the days in June 2021." ... more
- "The scatter graph shows the maximum temperature (oC) and the number of bowls of soup sold at a sandwich shop on twelve randomly selected days last year." ... more
- "In the Bubbleless Bandits free-diving club, members practice breath-holding techniques as part of their routine." ... more
- "(a) The list shows 18 temperatures, in degrees Celsius, at 2pm on different days in Honeyville." ... more
- "The box plot shows information about the distribution of the times (in minutes) groups of customers spend in a open-air restaurant." ... more
- "Kevin recorded the heights, in centimetres, of some cows." ... more
- "The following diagram shows a distance-time graph of the movement of a fish." ... more
- "The distance walked by each of 68 hikers was recorded. The results are shown in the cumulative frequency curve." ... more
- "Marilou and Sam had a skiing race. Here is Marilou’s speed-time graph from the start of the race." ... more
- "Jimmy is ordering the t-shirts for the community choir which has 240 members." ... more
- "The scatter graph gives information about the marks earned in a Statistic exam and a Mathematics exam by each of 13 students." ... more
- "Here is some information about the length of time children spent in a swimming pool at a holiday resort during a heat wave." ... more
- "The table shows the marks earned by 200 students taking a Maths exam." ... more
- "The following table shows the time taken by fifty people to answer their emails one day." ... more
- "A model train is placed on a length of straight track." ... more
- "One day a theme park monitored the time spent by guests at six different areas of the park. The times are recorded in the box plots below." ... more
- "The table shows the amount of time, in months, taken to sell houses on the Happyland housing estate." ... more
- "The following table show data collected by a researcher about the length of monitor lizards living in a park in Bangkok." ... more
- "This histogram shows information about the ages of 317 people attending a charity concert. The cost of tickets for children under 15 years of age are half price. If a full price ticket was £18, estimate the total income of all 317 ticket sales." ... more
- "The distribution of daily average wind speed on an island over a period of 120 days is displayed on this box-and-whisker diagram." ... more
- "The histogram gives information about the times 475 kittens took to get over an obstacle." ... more
- "Derek has put together a fantasy football squad and has recorded the heights of all the players in the squad rounded to the nearest centimetre. The data is illustrated in the following box and whisker diagram." ... more
- "Donna is in a class of 25 students, 5 of whom have a pet dog." ... more
- "The charts below show the results of pupils in a Year Group answering twenty mental arithmetic questions." ... more
- "Here is a speed-time graph for a go kart." ... more
- "Poppy Pringle recorded the heights in centimetres of the sunflowers growing in her brother's and sister's gardens." ... more
- "The following table shows the number of times people in a sample group visited the cinema in a six month period." ... more
- "The table shows the test marks for 31 students." ... more
- "In a survey of insect life near a stream, a student collected data about the number of different insect species \((y)\) that were found at different distances \((x)\) in metres from the stream." ... more
- "A TV company surveyed 88 of its employees to find out how much time they spend travelling to work on a given day. The results of the survey are shown in the following cumulative frequency diagram." ... more
- "This cumulative frequency graph shows the speeds in kmh-1 of cyclists passing a certain point on a race track." ... more
- "The table below shows the scores for 12 students on two Mathematic exam papers. For the first paper calculators were allowed and for the second paper they were not." ... more
- "Gringe Hull Secondary School has students from Year 7 to Year 13. A group of 138 students in Year 9 were randomly selected and surveyed to find out how long it takes them to travel to school each morning. Their results are represented by the following cumulative frequency graph." ... more
- "A number of organically-grown carrots were measured (in centimetres) and the results recorded. The following box and whisker diagram shows a summary of the results where L and U are the lower and upper quartiles respectively. The diagram is not drawn to scale." ... more
Click on a topic below for suggested lesson Starters, resources and activities from Transum.
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
Average Smile
Calculate the mean, median and range of the given scores.
2nd Lesson
Chin-Ups
Work out the number of chin ups the characters do on the last day of the week give information about averages.
3rd Lesson
Five Digits
Five digits have the same mean, median, mode and range.
4th Lesson
Choc Bar Chart
Interpret data given in the form of a bar chart then create a new bar chart showing the given statistics.
5th Lesson
Pie Chart
An exercise in estimating what the sectors of a pie chart represent.
6th Lesson
Weather Maths
Eight mathematical questions about the current weather and times in four cities around the world.
7th Lesson
Product Practice
Work out the answers to the given calculations then add the answers together. There are three different levels of difficulty.
8th Lesson
Roundabout
Go around the roundabout performing each of the operations. Which starting point gives the largest answer?
9th Lesson
Rounding 2dp
Round off the given numbers to 2 decimal places then add the answers together.
10th Lesson
Second Holiday
Estimate then work out the period of time equal to the given number of seconds.
11th Lesson
Separated Twins
Can you find a 14 digit number containing two each of the digits one to seven which obeys the rules given?
12th Lesson
Square Pairs
Arrange the numbered trees so that adjacent sums are square numbers.
13th Lesson
Subtract Quickulations
Calculations appear on the screen every few seconds.
14th Lesson
Take Sides
Put up your right hand or left hand depending on the expressions that appears.
15th Lesson
Triple Totals
Complete the sums using only the given numbers then check your calculations are correct.
16th Lesson
Route to Las Vegas
Work out the cheapest way from Los Angeles to Las Vegas by choosing the best route and adding up the given numbers.
17th Lesson
Seeing Squares
How many square numbers can be found in the grid of digits.
18th Lesson
Refreshing Revision
It is called Refreshing Revision because every time you refresh the page you get different revision questions.
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.
