Question

the box plots show a random sample of wait times for two rides at a water park.
compare the wait times in the box plots.
the median wait time for speed slide is
?
than the median
wait time for wave machine. the iqr for
both rides is? minutes.

Explanation:

Step1: Find the median of each box - plot

The median is the line inside the box. For Speed Slide, the median is at \(11\). For Wave Machine, the median is at \(9\). So \(11>9\), the median of Speed Slide is greater than that of Wave Machine.

Step2: Calculate the IQR for each box - plot

The IQR (Inter - Quartile Range) is \(Q3 - Q1\).
For Speed Slide: \(Q1 = 7\), \(Q3=13\), \(IQR = 13 - 7=6\)
For Wave Machine: \(Q1 = 8\), \(Q3 = 14\), \(IQR=14 - 8 = 6\)

Answer:

The median wait time for Speed Slide is greater than the median wait time for Wave Machine. The IQR for both rides is \(6\) minutes.