As part of a traffic safety campaign, a speed detector was used to record speed in the entrance driveway to the Jefferson High School parking lot. The box-and-whisker plot below shows the results.The speed limit for the entrance is 15 mph. The high school principal argues that speeds up to 20 mph are acceptable, so nothing needs to be done about students speeding into the entrance.However the vice principal thinks that there is a problem that needs to be addressed, probably by issuing speeding tickets. How could the vice principal use this box-and-whisker plot and the principal’s statement that “speeds up to 20 mph are acceptable” to argue her position? Use mathematics in your explanation.Show your steps, or in your own words tell how you got your answer(s): (Don't forget to write your answer too!)

From the box-and-whisker plot, we can see that first quartile which is 15 mph is the minimum speed limit. Also the median speed is 20 mph, which the principal argues is still Ok, but we can also see that from the box-and-whisker plot that some students still run above this median speed of 20 mph.

Now, the vice principal can use this plot to argue that any speed above this 20 mph should not be acceptable and should be considered as speeding, since from the box-and-whisker plot, we can still see that students run up to 28 mph which is the upper quartile.

So, the problem here that needs to be addressed is that students run above 20 mph and up to high speeds of 28 mph.

Hence, the answer is that speeding tickets should be issued to students that run above 20 mph