# 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: 555. This question is similar to one that appeared on an IB AA Standard paper in 2021. The use of a calculator is not allowed.

A number of organically-grown carrots were measured (in centimetres) and the results recorded. The following box and whisker diagram shows a summary of the results where L and U are the lower and upper quartiles respectively. The diagram is not drawn to scale.

The interquartile range is 8cm and there are no outliers in the results.

Find the maximum possible value of L.

Hence, find the maximum possible value of U.

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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.

The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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