Year 10 - Maths
Interpolation versus extrapolation
Graphical representations of data: scatter graphs and time series
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will learn how to interpret and extract data from scatter graphs and time series graphs.
Lesson Summary
You will learn to state the difference between interpolation and extrapolation and the limitations of each.
Key Notes
- Interpolation can be used to estimate a value within the data set.
- Extrapolation can be used to estimate a value outside of the data set.
- Extrapolation may not be valid as this is outside observed set of data values.
- Interpolation may not be valid due to the limitations of sampling.
Vocabulary To Learn
- Interpolation: Interpolation is the process of estimating unknown values that are inside the range of existing data.
- Extrapolations: Extrapolation is the process of estimating unknown values that are outside the range of existing data.
Common Mistakes To Avoid
- Interpolation and extrapolation always produce accurate predictions.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Interpolation can be used to estimate a value within the data set. Extrapolation can be used to estimate a value outside of the data set.
2. Use this key word in a maths sentence and explain it clearly. 'Interpolation'
Interpolation is the process of estimating unknown values that are inside the range of existing data. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Interpolation and extrapolation always produce accurate predictions. Correction: Extrapolation may not be valid as this is outside the observed set of data values (e.g. a linear trend might not continue indefinitely). Interpolation may not be valid due to the limitations of the data set.
More Lessons In This Unit
- Checking understanding of correlation Study Guide
- Checking understanding of scatter graphs Study Guide
- Constructing time series graphs Study Guide
- Estimating from scatter graphs Study Guide
- Interpreting time series graphs Study Guide
- Outliers in scatter graphs Study Guide
- Problem solving with scatter graphs and time series Study Guide
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