[EX02-076] Consumers are frequently cautioned against eating too much food that is high in calories, fat, and sodium for numerous health and fitness reasons. Nutrition Action HealthLetter published a list of popular low-fat brands of hot dogs commonly labeled “fat-free,” “reduced fat,” “lowfat,”

“light,” and so on, together with their calories, fat content, and sodium. All quantities are for one hot dog:

Hot Dog Brand Calories Fat (g) Sodium (mg)

Ball Park Fat Free Beef Franks 50 0 460 Butterball Fat Free Franks 40 0 490

••• Remainder of data on Student’s Suite CD-ROM Source: Nutrition Action HealthLetter, “On the Links,” July/August 1998, pp. 12–13

a. Find the mean, median, mode, and midrange of the calories, fat, and sodium contents of all the frankfurters listed. Use a table to summarize your results.

b. Construct a dotplot of the fat contents. Locate the mean, median, mode, and midrange on the plot.

c. In the summer of 2005, the winner of Nathan’s Famous Fourth of July Hot Dog Eating Contest consumed 49 hot dogs in 12 minutes. If he had been served the median hot dog, how many calories, grams of fat, and milligrams of sodium did he consume in the single sitting? If the recommended daily allowance for sodium intake is 2400 mg, did he likely exceed it? Explain.