Question

brand b
47 47.5 48 48.5 49 49.5 50 50.5 51 51.5 52 52.5
weights (grams)
which statement is a correct comparison of the distribution of granola bag weights for brands a and b?
the bag weights for brand a have less variability than the bag weights for brand b.
the bag weights for brand a have more variability than the bag weights for brand b.
brand b bags typically weigh more than brand a bags because there is a high outlier at 52.5.
brand b bags typically weigh more because the range of weights is higher than that of brand a.

Explanation:

Variability in box plots is shown by the interquartile range (IQR, length of the box) and overall spread. Brand A’s box is shorter than Brand B’s, meaning Brand A has less variability. Brand B’s outlier does not represent typical weight, and range alone doesn’t indicate typical weight.

Answer:

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