The boxplot required to answer the questions is attached below :
Answer:
The range for the Kentucky temperature :
(58.3 - 52.2) = 6.1
The range for the Illinois temperature :
(55 - 49.9) = 5.1
The IQR for the Kentucky temperature :
(57.3 - 54.5) = 2.8
The IQR for the Illinois temperature :
(53.3 - 50.9) = 2.4
Explanation:
Range = maximum - minimum
Maximum and minimum values are given by the values at the end and start of the whisker.
The range for the Kentucky temperature :
(58.3 - 52.2) = 6.1
The range for the Illinois temperature :
(55 - 49.9) = 5.1
IQR = Q3 - Q1
Q3 = Value at the end of the box
Q1 = value of start of box
The IQR for the Kentucky temperature :
(57.3 - 54.5) = 2.8
The IQR for the Illinois temperature :
(53.3 - 50.9) = 2.4