Question

the box plots show race times for a sample of 10 runners who ran in the sandy shoes 5k shoreside race and a sample of 10 runners who ran in the madison center 5k road race. complete the table. road race shoreside race median 26 interquartile range 6

Explanation:

Step1: Find the median for Shoreside race

From the box - plot, the line inside the box represents the median. For the Shoreside race, the median is \(36\).

Step2: Find the inter - quartile range for Road race

The inter - quartile range (IQR) is the length of the box in the box - plot. For the Road race, the lower quartile \(Q_1 = 22\) and the upper quartile \(Q_3=34\). The formula for IQR is \(IQR = Q_3 - Q_1\). So, \(IQR=34 - 22=12\).

Answer:

Road race	Shoreside race