# Exam-Style Question on Statistics

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 258. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

Ben measured the length and the width of each of 10 sea shells of the same type. The results are shown below.

(a) Construct a scatter graph with this data.

 Sea Shell Dimensions Length(cm) Width(cm) 7.3 2.7 9.7 3.2 7.5 2.6 6.1 2.9 9.0 2.9 8.7 3.0 7.5 2.5 10.3 3.5 9.5 3.3

The point representing the results for one of the shells is an outlier.

(b) Explain how the results for this shell differ from the results for the other shells.

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If you need more practice try the self-checking interactive exercises called Plotting Scatter Graphs.

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