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A national chain of department stores ranks its 750,000 salespeople by the monetary value of their sales. Reuben's sales are at the \( 73^{\text {rd }} \) percentile. Amanda's sales are at the \( 38^{\text {th }} \) percentile. (If necessary, consult a list of formulas.) (a) Which of the following must be true about Reuben's sales? O About \( 73 \% \) of the salespeople had sales lower in value than Reuben. The value of Reuben's sales were about \( 73 \% \) of the chain's total. The value of Reuben's sales was in the bottom half of all of the salespeople. Reuben sold \( \$ 7300 \) in merchandise. Both Reuben and Amanda had sales higher in value than the median. Both Reuben and Amanda had sales lower in value than the median. Reuben's sales were higher in value than Amanda's sales. (b) Which of the following must be true about Reuben's and Amanda's sales? Ams sales were higher in value than Reuben's sales.

Ask by Warren Johnston. in the United States
Mar 15,2025

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(a) About 73% of the salespeople had sales lower than Reuben, and Reuben's sales were higher than Amanda's. (b) Amanda’s sales were not higher than Reuben’s.

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About \( 73 \% \) of the salespeople had sales lower in value than Reuben. Being in the \( 73^{\text {rd }} \) percentile, Reuben's sales place him above a significant majority of his peers, indicating that he is quite a star in the sales department! Reuben's sales were higher in value than Amanda's sales. Since Reuben is in the \( 73^{\text {rd }} \) percentile and Amanda is at the \( 38^{\text {th }} \) percentile, it means that Reuben's performance outpaces Amanda's by a considerable margin, making him a competitive force in the department store chain!

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