Transition Year Maths Scatter Graphs (Correlation) Scatter Graphs show the relationship between two sets of data.


Example 7: 20 Transition Year boys were weighed and their heights measured. Plot the results on a Scatter Graph putting weight on the x-axis. Comment on the result:


Height cm 151 154 155 156 156 158 158 163 165 169 169 170 171 172 174 175 177 179 180 182


Weight kg


45 47 60 51 54 50 62 59 60 61 56 63 60 58 72 63 68 66 70 77


Scatter Graph Plot of Weight vs. Height (for Transition Year Boys).


Comment: The mean weight can be calculated (like Example 2) to be 60·1 kg, and the mean height to be 166·7 cm. But when we draw a Scatter Graph, we are interested in the connection or relationship between the two sets of data. It is clear from the graph that there is a diagonal band of points across the graph, from the bottom left to the top right. This is called a Positive Correlation. Generally speaking, the taller boys are heavier, and the shorter boys are lighter. This is what we would have expected.


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