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

A TV company surveyed 88 of its employees to find out how much time they spend travelling to work on a given day. The results of the survey are shown in the following cumulative frequency diagram.

(a) Find the median number of minutes spent travelling to work.

(b) Find the interquartile range.

(c) Find the number of employees whose travelling time is within 20 minutes of the median.

(d) Only 10% of the employees spent less than k minutes travelling to work. Find the value of k.

The results of the survey can also be displayed on the following box-and-whisker diagram.

(e) Write down the value of a.

(f) Find the value of b.

(g) Travelling times of less than p minutes are considered outliers. Find the value of p .

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If you need more practice try the self-checking interactive exercises called Cumulative Frequency.

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