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 than the median wait time for the taco truck. the iqr for both food trucks is minutes. wait times for food trucks taco truck pizza truck time (min)

Explanation:

Step1: Find the median of each box - plot

The median of a box - plot is represented by the line inside the box.
For the pizza truck, the median is at \(2\). For the taco truck, the median is at \(5\). So \(2<5\), the median wait time for the pizza truck is less than the median wait time for the taco truck.

Step2: Calculate the IQR

The inter - quartile range (IQR) is \(Q3 - Q1\).
For the pizza truck: \(Q1 = 1.5\), \(Q3=3.5\), \(IQR = 3.5 - 1.5=2\)
For the taco truck: \(Q1 = 4.5\), \(Q3 = 6.5\), \(IQR=6.5 - 4.5 = 2\)

Answer:

The median wait time for the pizza truck is less than the median wait time for the taco truck. The IQR for both food trucks is \(2\) minutes.