Interpolation versus extrapolation
I can state the difference between interpolation and extrapolation and the limitations of each.
Interpolation versus extrapolation
I can state the difference between interpolation and extrapolation and the limitations of each.
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Lesson details
Key learning points
- 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.
Keywords
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 misconception
Interpolation and extrapolation always produce accurate predictions.
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.
To help you plan your year 10 maths lesson on: Interpolation versus extrapolation, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Interpolation versus extrapolation, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
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Prior knowledge starter quiz
6 Questions
Q1.A is a line where the distance between each data point and the line is minimised.
Q2.Aisha says the line of best fit must always go through the point (0, 0). Is Aisha correct?
Q3.Which of these graphs do not have appropriate line of best fit?
Q4.The scatter graph shows data taken from the ONS, where each point represents a region in the UK. Use the line of best fit to estimate emissions of a population of 400 000
Q5.The scatter graph shows data taken from the ONS about regions in the UK. An estimate for the median house price in a region where the median income is £35 000 is £ to the nearest thousand.
Q6.The scatter graph shows data taken from the ONS about regions in the UK. The population of a region is predicted to change from 200 000 to 500 000. Estimate how many more cell towers the region needs.
Assessment exit quiz
6 Questions
Q1.Interpolation is when you estimate values that are the range of available data.
Q2.Which values are obtained by extrapolation on this scatter diagram?
Q3.Select the regions where interpolation can be used to make estimations on this scatter graph.
Q4.Alex says, “I can always use extrapolation to make a valid prediction when my bivariate data has correlation.” Is Alex correct?
Q5.The scatter graph shows data taken from the ONS, where each point represents a region in England and Wales in 2023. Select which of these Oak pupils can use this graph to make an accurate prediction.
Q6.The scatter graphs shows information about house prices and income in different regions. Estimate the difference between the house prices in the North and South for a median income of £30 000
