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

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

Interpreting scatter graphs

Maths

In this unit, pupils explore different graphs and charts as a way of presenting data visually. Pupils are introduced to scatter graphs and learn how to construct them in this unit. In the future unit, this understanding is extended to using a line of best fit to allow interpolation

In this unit, pupils interpreted and constructed pie charts based on their understanding of fractions and proportion

Graphical representations of data

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.

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

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

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?

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?

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

Extrapolation is more reliable than interpolation for estimating data.

Interpolation is more reliable than extrapolation for estimating data.

Extrapolation and interpolation are equally reliable for estimating data.

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

What are the coordinates of Point C in this graph?

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

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

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?

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?

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Interpreting scatter graphs

Lesson outcome