Question

question 3 of 10
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
2 35 40 45 48
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
centers?
a. the median temperature for both towns is 40°.

b. the median for town a, 30°, is less than the median for
town b, 40°.

c. the mean for town a, 30°, is less than the mean for town b, 40°.

d. the median for town a, 15°, is greater than the median
for town b, 2°.

Explanation:

Step1: Recall Box Plot Median

In a box plot, the line inside the box represents the median.

Step2: Analyze Town A's Median

For Town A, the box plot's middle line (median) is at 30°F.

Step3: Analyze Town B's Median

For Town B, the box plot's middle line (median) is at 40°F.

Step4: Evaluate Options

• Option A: Town A's median is 30, not 40. Incorrect.
• Option B: Town A's median (30) < Town B's median (40). Correct.
• Option C: Box plots show median, not mean. Incorrect.
• Option D: 15 and 2 are not medians (they are whisker ends). Incorrect.

Answer:

B. The median for town A, \( 30^\circ \), is less than the median for town B, \( 40^\circ \).