Question

The double box-and-whisker plot represents the medians of $50$ random samples of $10$ wait times at two patient care facilities. Which facility should you choose? Explain your reasoning.

Answer 1

Step 1: Data of Facility $A=1015202530$
Median of Facility $A=20$
IQR of Facility $A=25-15=10$
Step 2: Data of Facility $B=515203545$
Median of Facility $B=20$
IQR of Facility $B=35-15=20$

The variation in the center of Facility A is similar to the measure of Facility B and the variation of Facility B is greater than the variation of Facility A.

Hence the Facility B should be chosen than the Facility A.