The cumulative frequency graph (ogive) shows the time taken (in minutes) for 60 employees to travel to work each morning. Estimate the median travel time.

Reading from the graph, a cumulative frequency of 30 corresponds to a travel time of 60 minutes.
The estimated median travel time is $\boxed{\text{60 minutes}}$.

Reading from the graph, a cumulative frequency of 15 corresponds to a travel time of 40 minutes.
The estimated lower quartile is $\boxed{\text{40 minutes}}$.

Reading from the graph, a cumulative frequency of 45 corresponds to a travel time of 80 minutes.

The estimated interquartile range is $\boxed{\text{40 minutes}}$.

• Minimum time = 5 minutes (given)
• Lower Quartile (Q1) = 40 minutes (from 2.2)
• Median (Q2) = 60 minutes (from 2.1)
• Upper Quartile (Q3) = 80 minutes (from 2.3)
• Maximum time = 120 minutes (given)

To construct the box-whisker plot:

• Draw a number line (scaled line) that covers the range from 0 to 120 minutes.
• Mark the minimum value (5) and the maximum value (120) with whiskers.
• Draw a box from the first quartile (Q1 = 40) to the third quartile (Q3 = 80).
• Draw a vertical line inside the box at the median (Q2 = 60).

Employees who travel for an hour or more (60 minutes or more) are allowed to work from home.

From the ogive, at 60 minutes on the x-axis, the cumulative frequency is 30. This means 30 employees travel 60 minutes or less.

Total employees = 60.
Number of employees travelling more than 60 minutes = Total employees - (Cumulative frequency at 60 minutes)

The percentage of employees who will be allowed to work from home is $\boxed{\text{50\%}}$.