Karen Morrison and Nick Hamshaw Solutions for Exercise 6: Exercise 12.6

The following box-and whisker plot shows the distances in kilometers that various teachers travel to get school each day.

What is the median distance travelled ? What is the furthest that a teacher has to travel?

The following box-and whisker plot shows the distances in kilometres that various teachers travel to get school each day.

What percentage of the teachers travel $30$ or fewer kilometres to work ? What percentage of the teachers travel between $15$ and $25$ kilometre to work?

The following box-and whisker plot shows the distances in kilometres that various teachers travel to get school each day.

What is the $IQR$ of this data set?. What does the position of the median in the box tell you about the distribution of the data?

Two teams of friends have recorded their scores on a game and created a pair of box-and-whisker plots . What is the interquartile range for team $A \& B$

Two teams of friends have recorded their scores on a game and created a pair of box-and-whisker plots . Which team has the most consistent scores? To stay in the game , you must score at least $120$. Which team seems most likely to stay in?

Two teams of friends have recorded their scores on a game and created a pair of box-and-whisker plots . Which team gets the highest scores ? Give reasons for your answer.

This diagram shows the time (in minutes) that two students spend doing homework each day for a term. What does this diagram tell you about the two students?

An engineering firm has three machines that produce specialised bolts for airplanes. The bolts must have a diameter of $16.85$ mm ( with tolerance of $+/- 0.1 mm$). During a quality inspection, a sample of $50$ bolts produced by each machine is tested and the following box-and-whisker plot is produced using test data.. Write a quality inspection report comparing the performance of the three machines.