Watch that caff eine! Th e U.S. Food and Drug

Chapter 2, Problem 2.12

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Watch that caff eine! Th e U.S. Food and Drug Administration limits the amount of caff eine in a 12-ounce can of carbonated beverage to 72 milligrams. Th at translates to a maximum of 48 milligrams of caff eine per 8-ounce serving. Data on the caff eine content of popular soft drinks is provided in Table 2.6. How does the caff eine content of these drinks compare to the USFDAs limit? Table 2.6 Caffeine Content (in Milligrams) for an 8-Ounce Serving of Popular Soft Drinks (a) You could construct a dotplot of the caff eine content data, but a stemplot might be preferable. Explain why. (b) Construct a stemplot of the data using the fi rst digit as the stem and the second digit as the leaf. What problem do you see with this display? (c) Figure 2.7 shows a stemplot with split stems for the caff eine content data. Th is time, values having leaves 0 through 4 are placed on one stem, while values ending in 5 through 9 are placed on another stem. Describe the shape, center, and spread of the distribution. Figure 2.7 Stemplot showing the caff eine content (in milligrams per 8-ounce serving) of various soft drinks.