Question

compare the wait times in the box plots.
the median wait time for the pizza truck is
than the median wait
the iqr for both
minutes.
options:
4 minutes shorter
4 minutes longer
5 minutes shorter
5 minutes longer
wait times for food trucks
taco truck
pizza truck
time (min)

Explanation:

Step1: Find pizza truck median

Locate median line: Pizza truck median = $3$ min

Step2: Find taco truck median

Locate median line: Taco truck median = $7$ min

Step3: Calculate median difference

Subtract pizza median from taco median: $7 - 3 = 4$ min

Step4: Find IQR for both trucks

IQR = Q3 - Q1. For pizza: $5 - 2 = 3$ min. For taco: $8 - 5 = 3$ min.

Answer:

The median wait time for the pizza truck is 4 minutes shorter than the median wait time for the taco truck.
The IQR for both is 3 minutes.