A national restaurant chain is composed of 6500​ restaurants, each of which is located in close proximity to an interstate highway. The​ restaurant's business strategy is to serve its core customer​ base: people traveling on the interstate highway system who are looking for a quality dining experience. Customers generally enjoy the restaurant​ chain's menu,​ atmosphere, and consistency from restaurant to restaurant. The​ company's leadership, located at corporate​ headquarters, is very interested in the relationship between the cost of a gallon of gasoline and the​ company's revenue.​ Specifically, the company is concerned that if gasoline prices rise in the near​ future, the​ company's revenue will decline dramatically. The​ company's research department recently collected data for analysis in order to support​ leadership's upcoming discussion of whether the company should expand and diversify to locations away from an interstate highway. Annual revenue figures from a random sample of 150 restaurants were collected. The research division also collected and calculated the average annual cost of gasoline at these 150 restaurants by randomly selecting three gasoline stations near each restaurant. Historical data was then used to calculate the average annual cost of gasoline. The Restaurant​ Number, Geographic​ Region, Annual​ Revenue, Average Cost of​ Gasoline, Miles from the​ Interstate, Square Footage, and Annual Increase in Revenue were collected for these 150 restaurants. What does the IQR represent in the context of the Average Cost of Gasoline​ data?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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A national restaurant chain is composed of 6500​ restaurants, each of which is located in close proximity to an interstate highway. The​ restaurant's business strategy is to serve its core customer​ base: people traveling on the interstate highway system who are looking for a quality dining experience. Customers generally enjoy the restaurant​ chain's menu,​ atmosphere, and consistency from restaurant to restaurant. The​ company's leadership, located at corporate​ headquarters, is very interested in the relationship between the cost of a gallon of gasoline and the​ company's revenue.​ Specifically, the company is concerned that if gasoline prices rise in the near​ future, the​ company's revenue will decline dramatically. The​ company's research department recently collected data for analysis in order to support​ leadership's upcoming discussion of whether the company should expand and diversify to locations away from an interstate highway. Annual revenue figures from a random sample of 150 restaurants were collected. The research division also collected and calculated the average annual cost of gasoline at these 150 restaurants by randomly selecting three gasoline stations near each restaurant. Historical data was then used to calculate the average annual cost of gasoline. The Restaurant​ Number, Geographic​ Region, Annual​ Revenue, Average Cost of​ Gasoline, Miles from the​ Interstate, Square Footage, and Annual Increase in Revenue were collected for these 150 restaurants.

What does the IQR represent in the context of the Average Cost of Gasoline​ data?
 
A.The IQR is the range between the maximum average gasoline cost and the minimum average gasoline cost.
 
B.The IQR is the average range of each sample of gasoline costs for each of the locations.
 
C.The IQR is a range within which the middle half of average gasoline costs fall.
 
D.The IQR is the average of the ranges of the second and third quarters of the average gasoline costs.
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