Question

lorenzos two uncles each have a food truck. georges gyros sells greek food, while paulies paninis sells grilled sandwiches. lorenzo uses a computer to track the amount of each individual sale for both trucks. these box plots show the results for a one - week period.
food truck sales ($)
george
paulie
$0 $4 $8 $12 $16 $20
which food truck has a larger interquartile range?
georges gyros paulies paninis
how much larger is that food trucks interquartile range?
$

Explanation:

Step1: Recall IQR formula

Inter - quartile range (IQR) = Q3 - Q1, where Q1 is the first quartile and Q3 is the third quartile.

Step2: Find George's IQR

For George's Gyros, assume Q1 is at $8$ and Q3 is at $16$. Then IQR_George = $16 - 8=8$.

Step3: Find Paulie's IQR

For Paulie's Paninis, assume Q1 is at $8$ and Q3 is at $12$. Then IQR_Paulie = $12 - 8 = 4$.

Step4: Compare IQRs

Since $8>4$, George's Gyros has a larger IQR.

Step5: Calculate difference

The difference in IQRs is $8 - 4=4$.

Answer:

George's Gyros
$4$