Final answer:
To compare the distributions of two sets of data represented by boxplots, analyze the position of the median, length of the whiskers, symmetry of the boxplots, and the interquartile range.
Step-by-step explanation:
The question is asking to compare the distributions of two sets of data represented by the given boxplots. Let's examine each option:
a. The data in A has a higher median: Look at the position of the median in both boxplots. If the median is higher in data set A, then option a is correct.
b. The data in B has a larger range: Compare the length of the whiskers in both boxplots. If the range is larger in data set B, then option b is correct.
c. The data in A is more skewed: Observe the symmetry of the boxplots. If one boxplot is more distorted or skewed than the other, then option c is correct.
d. The data in B has a smaller interquartile range: Calculate the difference between the first and third quartiles in both boxplots. If the interquartile range is smaller in data set B, then option d is correct.
By analyzing the given information and comparing the boxplots, you can determine which options accurately describe the distributions of the data.