The given data represent the number of people from a​ town, aged​ 25-64, who subscribe to a print magazine. Construct a frequency polygon. Applying a loose interpretation of the requirements for a normal​ distribution, does the data appear to be normally​ distributed? Why or why​ not? . . . Question content area top right Part 1 Age People   ​25-34 ​35-44 ​45-54 ​55-64   104 716 307 113     Question content area bottom Part 1 Construct a frequency polygon using the data. Choose the correct graph below. A. 19.5 69.5 0 1000 Age Frequency   A graph has a horizontal axis labeled "Age" from 19.5 to 69.5 in intervals of 5 and a vertical axis labeled "Frequency" from 0 to 1000 in intervals of 100. The following six approximate points are plotted and are connected from left to right by line segments: (20, 0); (30, 100); (40, 720); (50, 300); (60, 120); (70, 0). B. 19.5 69.5 0 1000 Age Frequency   A graph has a horizontal axis labeled "Age" from 19.5 to 69.5 in intervals of 5 and a vertical axis labeled "Frequency" from 0 to 1000 in intervals of 100. The following six approximate points are plotted and are connected from left to right by line segments: (20, 0); (30, 100); (40, 300); (50, 720); (60, 80); (70, 0). C. 25 64 0 1000 Age Frequency   A graph has a horizontal axis labeled "Age" from 25 to 64 in intervals of 5 and a vertical axis labeled "Frequency" from 0 to 1000 in intervals of 100. The following four approximate points are plotted and are connected from left to right by line segments: (30, 80); (40, 580); (50, 280); (60, 160). D. 25 64 0 1000 Age Frequency   A graph has a horizontal axis labeled "Age" from 25 to 64 in intervals of 5 and a vertical axis labeled "Frequency" from 0 to 1000 in intervals of 100. The following six approximate points are plotted and are connected from left to right by line segments: (25, 0); (30, 80); (40, 580); (50, 280); (60, 160); (65, 0). Part 2 Applying a loose interpretation of the requirements for a normal​ distribution, does the data appear to be normally​ distributed? Why or why​ not? A. The frequency polygon does not appear to roughly approximate a normal distribution because the frequencies increase to a​ maximum, then​ decrease, and the graph is not symmetric. B. The frequency polygon does not appear to roughly approximate a normal distribution because the frequencies continually​ increase, and the graph is roughly symmetric. C. The frequency polygon appears to roughly approximate a normal distribution because the frequencies continually​ decrease, and the graph is not symmetric. D. The frequency polygon appears to roughly approximate a normal distribution because the frequencies increase to a​ maximum, then​ decrease, and the graph is roughly symmetric.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 27SGR
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Question

The given data represent the number of people from a​ town, aged​ 25-64, who subscribe to a print magazine. Construct a frequency polygon. Applying a loose interpretation of the requirements for a normal​ distribution, does the data appear to be normally​ distributed? Why or why​ not?
.
.
.
Question content area top right
Part 1
Age
People
 
​25-34
​35-44
​45-54
​55-64
 
104
716
307
113
 
 
Question content area bottom
Part 1
Construct a frequency polygon using the data. Choose the correct graph below.
A.
19.5
69.5
0
1000
Age
Frequency
 


A graph has a horizontal axis labeled "Age" from 19.5 to 69.5 in intervals of 5 and a vertical axis labeled "Frequency" from 0 to 1000 in intervals of 100. The following six approximate points are plotted and are connected from left to right by line segments: (20, 0); (30, 100); (40, 720); (50, 300); (60, 120); (70, 0).
B.
19.5
69.5
0
1000
Age
Frequency
 


A graph has a horizontal axis labeled "Age" from 19.5 to 69.5 in intervals of 5 and a vertical axis labeled "Frequency" from 0 to 1000 in intervals of 100. The following six approximate points are plotted and are connected from left to right by line segments: (20, 0); (30, 100); (40, 300); (50, 720); (60, 80); (70, 0).
C.
25
64
0
1000
Age
Frequency
 


A graph has a horizontal axis labeled "Age" from 25 to 64 in intervals of 5 and a vertical axis labeled "Frequency" from 0 to 1000 in intervals of 100. The following four approximate points are plotted and are connected from left to right by line segments: (30, 80); (40, 580); (50, 280); (60, 160).
D.
25
64
0
1000
Age
Frequency
 


A graph has a horizontal axis labeled "Age" from 25 to 64 in intervals of 5 and a vertical axis labeled "Frequency" from 0 to 1000 in intervals of 100. The following six approximate points are plotted and are connected from left to right by line segments: (25, 0); (30, 80); (40, 580); (50, 280); (60, 160); (65, 0).
Part 2
Applying a loose interpretation of the requirements for a normal​ distribution, does the data appear to be normally​ distributed? Why or why​ not?
A.
The frequency polygon does not appear to roughly approximate a normal distribution because the frequencies increase to a​ maximum, then​ decrease, and the graph is not symmetric.
B.
The frequency polygon does not appear to roughly approximate a normal distribution because the frequencies continually​ increase, and the graph is roughly symmetric.
C.
The frequency polygon appears to roughly approximate a normal distribution because the frequencies continually​ decrease, and the graph is not symmetric.
D.
The frequency polygon appears to roughly approximate a normal distribution because the frequencies increase to a​ maximum, then​ decrease, and the graph is roughly symmetric. 

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