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Two sets of data are represented by the boxplots graphed below. Compare the distributions.

a. The data in A has a higher median.
b. The data in B has a larger range.
c. The data in A is more skewed.
d. The data in B has a smaller interquartile range.

User Bergey
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1 Answer

1 vote

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.

User Dirn
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7.6k points
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