Specimen Paper SPEC/5/TZ0 P1 Q7

A large company surveyed \(160\) 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 Sin the following cumulative frequency diagram.

1. Find the median number of minutes spent traveling to work.

   [2]

2. Find the number of employees whose traveling time is within \(15\) minutes of the median.

   [3]

Only \(10\%\) of the employees spent more than \(k\) minutes traveling to work.

3. Find the value of \(k\).

   [3]

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

4. Write down the value of \(b\).

   [1]

5. 1. Find the value of \(a\).

   2. Hence, find the interquartile range.

      [4]

Traveling times of less than \(p\) minutes are considered outliers.

6. Find the value of \(p\).

   [2]