Problem

Shelter X kitten weights are \(28,~30,~31,~33,~35,~36,~38,~\text{and}~41~\text{ounces}\). Shelter Y has mean \(34~\text{ounces}\), median \(34~\text{ounces}\), range \(13~\text{ounces}\), and interquartile range \(7.5~\text{ounces}\). For Shelter X's quartiles, split the ordered data into \(\text{two}~\text{groups}~\text{of}~\text{four}\) and take each half's median. Which complete response correctly compares the shelters?

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Shelter X: mean 34 oz, median 34 oz, range 13 oz, interquartile range 6.5 oz. Shelter Y: mean 34 oz, median 34 oz, range 13 oz, interquartile range 7.5 oz. Yes, the summaries are equivalent.

Shelter X: mean 34 oz, median 34 oz, range 13 oz, interquartile range 7.5 oz. Shelter Y: mean 34 oz, median 34 oz, range 13 oz, interquartile range 7.5 oz. Yes, the summaries are equivalent for all four statistics.

Shelter X: mean 34.5 oz, median 34 oz, range 13 oz, interquartile range 6.5 oz. Shelter Y: mean 34 oz, median 34 oz, range 13 oz, interquartile range 7.5 oz. No, the summaries are not equivalent for all four statistics.

Shelter X: mean 34 oz, median 34 oz, range 13 oz, interquartile range 6.5 oz. Shelter Y: mean 34 oz, median 34 oz, range 13 oz, interquartile range 7.5 oz. No, the summaries are not equivalent for all four statistics.

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