Given:
The box plots show daily low temperatures for a sample of days in two different towns.
We need to determine the most appropriate comparison of the spreads.
Interquartile range of town A:
The interquartile range can be determined by subtracting the end values of the boxes.
Thus, we have;
Interquartile range = 40 - 20
Interquartile range = 20
Thus, the interquartile range for town A is 20.
Interquartile range for town B:
The interquartile range for town B is given by
Interquartile range = 45 - 35
Interquartile range = 10
Thus, the interquartile range for town B is 10.
Hence, the interquartile range (IQR) for town A, 20° is greater than the IQR for town B, 10°
Hence, Option A is the correct answer.