Question

the box plots show a random sample of wait times for two food trucks at a street fair. compare the wait times in the box plots. the median wait time for the pizza truck is 5 minutes shorter than the median wait time for the taco truck. the iqr for both food trucks is 2 minutes. if you eat at both food trucks, can you be confident that your wait time for the pizza truck will be shorter than your wait time for the taco truck? no. there is a lot of overlap in the two data sets. yes. every wait time for the pizza truck is less than every wait time for the taco truck.

Explanation:

Box - plots show the distribution of data. The median is the middle value of the data set. The inter - quartile range (IQR) is the range of the middle 50% of the data. Just because the median of one data set (pizza truck) is less than the median of another (taco truck) does not mean that every value in the first data set is less than every value in the second. There is an overlap in the ranges of the two data sets (as seen from the box - plots), so we cannot be sure that the wait time for the pizza truck will always be shorter.

Answer:

No. There is a lot of overlap in the two data sets.