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      Problem solving with graphical representations of data

      Lesson details

      Learning outcome

      I can use my understanding of various graphical representations to solve problems.

      Key learning points

      1. Data can be presented in various formats.
      2. A fuller picture can be obtained when considering more data.
      3. Multiple representations may be unnecessary.

      Keywords

      • Bar chart - A bar chart (bar graph) is a graph consisting of bars visually representing the frequency of objects or groups.

      • Pie chart - A pie chart (pie graph) is a circular graph where sectors represent different groups proportionally.

      • Scatter graph - A scatter graph is a visual representation for bivariate data. It can help determine the nature of the relationship between the variables.

      Common misconception

      Pupils may think that data is only presented using the types of graphs that they learn in school.

      Data can presented visually in anyway that helps people to understand it. Explore other types of graphs and infographics used in the media.

      Teacher tip

      More large data sets can be found online. Pupils can be encouraged to explore these. The MEI CODAP project allows pupils to analyse different large data sets.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      Which type of graph uses pictures of objects to visually represent the frequency of objects or groups.

      bar chart
      Correct answer: pictogram
      pie chart
      scatter graph

      Q2.
      Which is a circular graph where sectors represent different groups proportionally?

      bar chart
      pictogram
      Correct answer: pie chart
      scatter graph

      Q3.
      The is the number of times an event occurs or the number of individuals (people, animals etc.) with some specific property.

      Correct Answer: frequency

      Q4.
      Look at the bar chart. How many countries has Laura visited?

      An image in a quiz
      Correct Answer: 7, seven

      Q5.
      Look at the bar chart. Which is the most common mode of travel for pupils in Year 10?

      An image in a quiz
      Walk
      Correct answer: Bus
      Car
      Cycle
      Train

      Q6.
      Look at the line graph. What is the distance at 20 seconds?

      An image in a quiz
      Correct Answer: 2, 2m, 2 m, two, two metres

      6 Questions

      Q1.
      Which two population pyramids show cases where the number of male and female residents is approximately equal?

      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz

      Q2.
      Which population pyramid shows the population whose largest age group is 30 to 34 year-olds?

      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz

      Q3.
      The graphs show average temperature in three towns for each month of the year. Which town is the warmest?

      Correct answer: Town A
      Town B
      Town C

      Q4.
      The graph show the maximum temperature of a town for each month of the year. What was the maximum temperature in April?

      An image in a quiz
      3
      4
      6
      Correct answer: 14
      16

      Q5.
      The graph show the maximum temperature of a town for each month of the year. Which town has a mean temperature of 16 degrees Celsius in July?

      An image in a quiz
      Town A
      Correct answer: Town B
      Town C

      Q6.
      The graph show the maximum temperature of a town for each month of the year. The mean temperature for Town A in September is degrees Celsius.

      An image in a quiz
      Correct Answer: 10, ten

      To help you plan your 8 maths lesson on: Problem solving with graphical representations of data, download all teaching resources for free and adapt to suit your pupils' needs...