Problem 22E
A study is made by the recording industry in the United States of the number of music CDs owned by senior citizens and young adults. The information is reported below.
Seniors  
28 
35 
41 
48 
52 
81 
97 
98 
98 
99 
118 
132 
133 
140 
145 
147 
153 
158 
162 
174 
177 
180 
180 
187 
188 





Young Adults  
81 
107 
113 
147 
147 
175 
183 
192 
202 
209 
233 
251 
254 
266 
283 
284 
284 
316 
372 
401 
417 
423 
490 
500 
507 
518 
550 
557 
590 
594 
a. Find the median and the first and third quartiles for the number of CDs owned by senior citizens. Develop a box plot for the information.
b. Find the median and the first and third quartiles for the number of CDs owned by young adults. Develop a box plot for the information.
c. Compare the number of CDs owned by the two groups.
Solution 22E
Step1 of 4:
From the given problem we have a sample data and it is given below:
Seniors  
28 
35 
41 
48 
52 
81 
97 
98 
98 
99 
118 
132 
133 
140 
145 
147 
153 
158 
162 
174 
177 
180 
180 
187 
188 





Young Adults  
81 
107 
113 
147 
147 
175 
183 
192 
202 
209 
233 
251 
254 
266 
283 
284 
284 
316 
372 
401 
417 
423 
490 
500 
507 
518 
550 
557 
590 
594 
Here our goal is:
a). We need to find the median and the first and third quartiles for the number of CDs owned by senior citizens. Also, we have to draw a boxplot for the information.
b). We need to find the median and the first and third quartiles for the number of CDs owned by young adults. Also, we have to draw a boxplot for the information.
c). We need to compare the number of CDs owned by the two groups.
Step2 of 4:
a).
Consider,
Seniors  
28 
35 
41 
48 
52 
81 
97 
98 
98 
99 
118 
132 
133 
140 
145 
147 
153 
158 
162 
174 
177 