Question

these box plots show daily low temperatures for a sample of days in two different towns. town a 15 20 30 40 45 town b 15 20 25 30 58 0 5 10 15 20 25 30 35 40 45 50 55 60 degrees (f) text description for graph which statement is the most appropriate comparison of the spreads? a. the interquartile ranges (iqrs) for towns a and b are both 30°. b. the interquartile range (iqr) for town a, 30°, is less than the iqr for town b, 43°. c. the standard deviation for town a, 20°, is greater than the standard deviation for town b, 10°. d. the interquartile range (iqr) for town a, 20°, is greater than the iqr for town b, 10°.

Explanation:

Step1: Recall IQR formula

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

Step2: Find IQR for Town A

For Town A, Q1 = 20 and Q3 = 40. So, IQR(A)=40 - 20=20.

Step3: Find IQR for Town B

For Town B, Q1 = 20 and Q3 = 30. So, IQR(B)=30 - 20 = 10.

Answer:

D. The interquartile range (IQR) for town A, 20°, is greater than the IQR for town B, 10°.