Question

brand b
47 47.5 48 48.5 49 49.5 50 50.5 51 51.5 52 52.5
weights (grams)
which brand of granola typically weighs more?
○ brand a bags typically weigh more because the median of brand a is higher than that of brand b.
○ brand b bags typically weigh more than brand a bags because there is a high outlier at 52.5.
○ brand a bags typically weigh more than brand b bags because there are no outliers in the distribution.
● brand b bags typically weigh more because the range of weights is higher than that of brand a.

Explanation:

Step1: Recall measure of central - tendency

Median is a better measure to compare typical values than range or presence/absence of outliers.

Step2: Analyze the options

The option "Brand A bags typically weigh more because the median of brand A is higher than that of brand B" is correct as median represents the middle - value and a higher median implies a higher typical value. The option about the outlier at 52.5 for brand B is incorrect because outliers don't represent typical values. The option about no outliers in brand A is incorrect as outliers are not relevant for typical values. The option about range is incorrect as range measures spread, not typical value.

Answer:

Brand A bags typically weigh more because the median of brand A is higher than that of brand B.