# Exam-Style Question on Box Plots

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

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Question id: 282. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is allowed.

The box plot shows information about the distribution of the times (in minutes) groups of customers spend in a open-air restaurant.

(a) Calculate the interquartile range for the amount of time groups spend in this open-air restaurant.

The table below shows information about the distribution of the times (in minutes) groups of customers spend in an indoor restaurant.

 Minimum Lower Quartile Median Upper quartile Maximum Time in minutes 30 45 62 82 94

(b) On the lower half of the grid above, draw a box plot for the information in the table.

(c) Hunter thinks that the total amount of time spend by all of the customers visiting the indoor restaurant is greater than the total amount of time spend by all of the customers visiting the open-air restaurant. Is Hunter correct? Explain your decision.

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If you need more practice try the self-checking interactive exercises called Box Plots. If you are using a TI-Nspire CX calculator did you know that it can draw a box plot for you? See GDC Essentials.

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