To help travelers know what to​ expect, researchers collected the prices of commodities in 449 cities throughout the world. The accompanying boxplots compare the average prices of a bottle of​ water, a dozen​ eggs, and a loaf of bread in the 449 cities​ (prices are all in​ US$ as of June​ 2020). Complete parts a through c below.     ​a) In​ general, which commodity is the most​ expensive

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 52E
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To help travelers know what to​ expect, researchers collected the prices of commodities in 449 cities throughout the world. The accompanying boxplots compare the average prices of a bottle of​ water, a dozen​ eggs, and a loaf of bread in the 449 cities​ (prices are all in​ US$ as of June​ 2020). Complete parts a through c below.
 
 
​a) In​ general, which commodity is the most​ expensive?
 
 
A.
A boxplot cannot be used to judge which commodity is the most expensive. The boxplot does not show how many of each commodity is in each quartile.
 
B.
On​ average, a bottle of water is the most expensive of the three. The maximum water price is above the median prices of the other two commodities.
 
C.
On​ average, a loaf of bread is the most expensive of the three. The median of bread prices is approximately equal to the third quartile of the water prices.
 
D.
On​ average, a dozen eggs is the most expensive of the three. The median price of eggs is higher than the third quartile of both water and bread prices.
Part 2
​b) Is a carton of eggs always more expensive than a bottle of​ water? Explain.
 
 
A.
It is not possible to tell. The boxplot does not show how many of each commodity is in each quartile.
 
B.
​Yes, the third quartile of egg prices is above all but the high outliers for water​ prices, so eggs are more expensive in all 449 cities.
 
C.
It is not possible to tell. It is possible to pair up the data so that this is true or untrue.
 
D.
​No, some of the water prices are above the minimum price of a carton of eggs.
Part 3
​c) Is a carton of eggs ever more expensive than a loaf of​ bread? Explain.
 
 
A.
​No, the high outliers of bread prices are above the median egg price.
 
B.
​No, none of the egg prices are above all of the bread prices.
 
C.
​Yes, there are several egg prices that are above all of the bread prices.
 
D.
​Yes, all of the egg prices are above all of the bread prices.
 
 
Water
Eggs
Price in US$
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HO+
ז
Transcribed Image Text:Water Eggs Price in US$ HØ---- HO+ ז
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Step 1: Given Information:

Given:

The boxplots of commodities are provided with some information.

 The commodities are water, eggs, and bread.

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