Problem

Website A reports a middle-half interval from \(42~\text{to}~58~\text{deliveries}\), median \(50~\text{deliveries}\), and full range \(24~\text{deliveries}\). Website B data are \(38,~42,~46,~49,~51,~56,~58,~\text{and}~62\). For Website B'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 websites?

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Website A: median = 50 deliveries, range = 24 deliveries, IQR = 16 deliveries. Website B: median = 50 deliveries, range = 24 deliveries, IQR = 13 deliveries. They have the same median, but not the same IQR, so no, the two websites could not be describing data sets with the same median and the same interquartile range.

Website A: median = 50 deliveries, range = 24 deliveries, IQR = 16 deliveries. Website B: median = 50 deliveries, range = 24 deliveries, IQR = 16 deliveries. Yes, the two websites could be describing data sets with the same median and the same interquartile range.

Website A: median = 50 deliveries, range = 24 deliveries, IQR = 24 deliveries. Website B: median = 50 deliveries, range = 24 deliveries, IQR = 13 deliveries. They do not match, so no.

Website A: median = 50 deliveries, range = 24 deliveries, IQR = 16 deliveries. Website B: median = 50 deliveries, range = 24 deliveries, IQR = 15 deliveries. They have the same median, but not the same IQR, so no.

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