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Find the Correlation on Different Scatter Graphs

In this worksheet, children will interpret information shown on a scatter graph and understand the term correlation.

'Find the Correlation on Different Scatter Graphs ' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Statistics

Curriculum subtopic:   Understand the Relationship Between Two Variables

Difficulty level:  

Worksheet Overview

A scatter graph is used to display the results of two variables.  

There may or may not be a connection (correlation) between the two variables.



The weights and heights of 10 children are plotted on a scatter graph.  The results are shown below.


scatter graph of children's heights and weights


This shows that the heavier a child is, the taller he/she is.

There is a definite connection between weight and height.

This is known as a positive correlation.


We can draw a line that best fits this data.  It goes in the direction of the plotted points and has roughly the same number of points above it as below.

It is known as the line of best fit.


three children of differing heights


The following scatter graphs show negative correlation and no correlation.


negative correlation scatter graph             no correlation scatter graph

    negative correlation                     no correlation


It would be possible to draw a line of best fit on the graph with negative correlation, but not on the one with no correlation.


Shall we move on to the questions now?


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