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      Interpreting scatter graphs

      Lesson details

      Learning outcome

      I can interpret scatter graphs using the data points shown.

      Key learning points

      1. Scatter graphs can be used to find a second value when the first value is known.
      2. A general trend may be observed from a scatter graph.
      3. Extrapolation may not be valid as this is outside the data set.

      Keywords

      • Interpolation - Interpolation is the process of estimating unknown values that are inside the range of existing data.

      • Extrapolation - Extrapolation is the process of estimating unknown values that are outside the range of existing data.

      Common misconception

      Pupils may assume that all there is always a connection between variables in scatter graphs.

      Emphasise examples showing no/weak connections, but explain that the tasks use data containing stronger connections for purpose of practice.

      Teacher tip

      Correlation and lines of best fit are covered in a later unit. This lesson focuses more broadly on seeing general trends and connections between variables based on the shape of scatter graphs.

      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 point on the graph has the coordinates (3, 8)?

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

      Q2.
      What are the coordinates of Point C in this graph?

      An image in a quiz
      Correct Answer: (3, 2), (3,2), (3 , 2)

      Q3.
      Which is another term to describe the independent variable in bivariate data?

      dependent variable
      Correct answer: explanatory variable
      response variable
      series

      Q4.
      A graph is a visual representation for bivariate data, which can be useful when determining the nature of the relationship between the variables.

      Correct Answer: scatter

      Q5.
      A set of bivariate data measures the length of an obstacle course and the time it takes for people to complete it. Which variable is most likely to be the dependent variable?

      length of obstacle course
      Correct answer: time taken to complete the course

      Q6.
      A set of bivariate data measures the length of an obstacle course and the time it takes for people to complete it. Which variable should go on the horizontal axis of a scatter graph?

      Correct answer: length of obstacle course
      time taken to complete the course

      6 Questions

      Q1.
      The scatter graph show minimum and maximum temperatures for different months in a town. Which statement best describes the trend in the data?

      An image in a quiz
      Correct answer: Months with higher minimum temperature have higher maximum temperatures.
      Months with higher minimum temperature have lower maximum temperatures.
      There is no connection between the variables.

      Q2.
      Which scatter graphs shows a case where as one variable increases the other variable tends to decrease?

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

      Q3.
      Look at the scatter graph. A new month records a minimum temperature of 10 degrees Celsius. Which range could we expect the maximum temperature to be in?

      An image in a quiz
      4 to 6 degrees Celsius
      8 to 11 degrees Celsius
      Correct answer: 14 to 17 degrees Celsius
      19 to 21 degrees Celsius

      Q4.
      Look at the scatter graph. A new month records a maximum temperature of 10 degrees Celsius. Which range could we expect the minimum temperature to be in?

      An image in a quiz
      Correct answer: 4 to 6 degrees Celsius
      8 to 11 degrees Celsius
      14 to 17 degrees Celsius
      19 to 21 degrees Celsius

      Q5.
      is the process of estimating unknown values that are inside the range of existing data.

      Correct Answer: interpolation

      Q6.
      Which statement is true?

      Extrapolation is more reliable than interpolation for estimating data.
      Correct answer: Interpolation is more reliable than extrapolation for estimating data.
      Extrapolation and interpolation are equally reliable for estimating data.

      To help you plan your 8 maths lesson on: Interpreting scatter graphs, download all teaching resources for free and adapt to suit your pupils' needs...