# 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: 419. This question is similar to one that appeared on an IB AI Standard paper (specimen) for 2021. The use of a calculator is allowed.

Derek has put together a fantasy football squad and has recorded the heights of all the players in the squad rounded to the nearest centimetre. The data is illustrated in the following box and whisker diagram.

(a) Write down the median height of the players.

(b) Write down the upper quartile height.

(c) Find the interquartile range of the heights.

The height of these players are normally distributed.

(d) Find the height of the tallest possible player that is not an outlier. Give your answer to the nearest centimetre.

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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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