Question

question 10 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 15 20 25 30 58
0 5 10 15 20 25 30 35 40 45 50 55 60
degrees (f)
text description for graph
compare the shapes of the box plots.
a. the distribution for town a is symmetric, but the
distribution for town b is positively skewed.
b. the distributions for both towns are positively skewed.
c. the distribution for town a is symmetric, but the
distribution for town b is negatively skewed.
d. the distributions for both towns are symmetric.

Explanation:

Step1: Analyze Town A's Box Plot

A symmetric box plot has the median (middle line of the box) in the center of the box, and the whiskers are roughly equal in length. For Town A, the box is centered, so its distribution is symmetric.

Step2: Analyze Town B's Box Plot

A positively skewed (right - skewed) distribution has a longer whisker on the right side. In Town B's box plot, the right whisker (extending to 58) is much longer than the left whisker. So, Town B's distribution is positively skewed.

Step3: Evaluate the Options

• Option A: Matches our analysis (Town A is symmetric, Town B is positively skewed).
• Option B: Town A is not positively skewed, so this is incorrect.
• Option C: Town B is positively skewed, not negatively skewed, so this is incorrect.
• Option D: Town B is not symmetric, so this is incorrect.

Answer:

A. The distribution for town A is symmetric, but the distribution for town B is positively skewed.