The parallel boxplots below display the weights of bags of two different brands, A and B, of granola. Which statement is a correct comparison of the distribution of granola bag weights for brands A and B?
A. The bag weights for brand A have less variability than the bag weights for brand B.
B. The bag weights for brand A have more variability than the bag weights for brand B. C. Brand B bags typically weigh more than brand A bags because there is a high outlier at 52.5.
D. Brand B bags typically weigh more because the range of weights is higher than that of brand A.

A. The bag weights for brand A have less variability than the bag weights for brand B.

Step-by-step explanation:

In a box plot display, measure of variability can be determined by the length of the rectangular box or/and by the length of the whiskers.

The longer or greater the length, the more the variability the data set has. The shorter or smaller the length, the lesser the variability.

The box plot display of Brand A has shorter rectangular box and a shorter whisker length compared to the box plot display of Brand B. Therefore, it can be concluded that: bag weights for Brand A have less variability compared to bag weights for Brand B.

The correct statement of comparison is:

"A. The bag weights for brand A have less variability than the bag weights for brand B."

Option B is incorrect. Bag weights for Brand A do not have more variability than those of Brand B.

Option C and option D are both incorrect. Neither an outlier nor range can be used to represent or describe "typical value" for a given data set.

Typical bag weights can be well represented or described by average bag weights or median weight of the data set.

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