# Exam-Style Question on Averages

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

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Question id: 418. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is allowed.

The following table shows the time taken by fifty people to answer their emails one day.

 Time, t minutes Number of people 0 < t ≤ 10 5 10 < t ≤ 20 12 20 < t ≤ 30 13 30 < t ≤ 40 15 40 < t ≤ 50 5

(a) In which class interval is the median?

(b) How many people took more than 20 minutes?

(c) What is the modal class interval?

(d) Find an estimate for the mean time taken showing all of your working.

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If you need more practice try the self-checking interactive exercise called Averages from a frequency table.

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