What are the means? The standard deviations? Compare the mean with the standard deviation for each variable. Does there appear to be more variability in the crimes or in police expenditures per capita in these states? Which states contribute more to this greater variability?
What are the means? The standard deviations? Compare the mean with the standard deviation for each variable. Does there appear to be more variability in the crimes or in police expenditures per capita in these states? Which states contribute more to this greater variability?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
Related questions
Question
What are the means? The standard deviations? Compare the mean with the standard deviation for each variable. Does there appear to be more variability in the crimes or in police expenditures per capita in these states? Which states contribute more to this greater variability?
![nz
zie
Hon
ilton
The SPSS output showing the mean and the standard deviation for both variables is presented
below.
Number of Crimes per
100,000 Population
Police Protection
Expenditures (in millions
of dollars)
Valid N (listwise)
N
Descriptive Statistics
21
21
21
Minimum
2181
120
Maximum Mean Std. Deviation
4188
3038.90
583.004
8164 1703.95
1895.214
a. What are the means? The standard deviations?
b. Compare the mean with the standard deviation for each variable. Does there appear to
be more variability in the number of crimes or in police expenditures per capita in these
states? Which states contribute more to this greater variability?
il diffams
c. Suggest why one variable has more variability than the other. In other words, what social
forces would cause one variable to have a relatively large standard deviation?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8d37e0d-e4ba-4824-8046-15a7cedd1259%2F01736cb4-d83e-4f47-bb50-74583a1a9a07%2F0jn0uzi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:nz
zie
Hon
ilton
The SPSS output showing the mean and the standard deviation for both variables is presented
below.
Number of Crimes per
100,000 Population
Police Protection
Expenditures (in millions
of dollars)
Valid N (listwise)
N
Descriptive Statistics
21
21
21
Minimum
2181
120
Maximum Mean Std. Deviation
4188
3038.90
583.004
8164 1703.95
1895.214
a. What are the means? The standard deviations?
b. Compare the mean with the standard deviation for each variable. Does there appear to
be more variability in the number of crimes or in police expenditures per capita in these
states? Which states contribute more to this greater variability?
il diffams
c. Suggest why one variable has more variability than the other. In other words, what social
forces would cause one variable to have a relatively large standard deviation?
![es of
ution
ith a
the
12-
w.
five categories (DEGREE).
for respondent's age when first child was born (AGEKDBRN) is reported for
Identify the level of measurement for DEGREE and AGEKDBRN.
a.
b. Describe the relationship between respondent degree and age when first child was born.
Mean
Standard deviation
Variance
State
Maine
New Hampshire
Vermont
Massachusetts
Rhode Island
Connecticut
New York
New Jersey
Pennsylvania
Less Than
High School
Ohio
Indiana
Illinois
Michigan
Wisconsin
Minnesota
20.72
lowa
Missouri
North Dakota
South Dakota
Nebraska
Kansas
4.745
22.512
High
School
23.34
5.542
30,709
Some
College
23.46
9. You are interested in studying the variability of crimes committed (including violent and
property crimes) and police expenditures in the eastern and Midwestern United States. The
U.S. Census Bureau collected the following statistics on these two variables for 21 states in
the East and Midwest in 2008.
Number of Crimes per
100,000 Population
5.575
31.082
Police Protection Expenditures
(in Millions of Dollars)
2,583
233
2,384
317
2,761
141
2,860
1,843
3,098
317
2,798
996
2,407
8,164
2,618
3,087
2,842
2,840
3,982
3,157
3,947
1,223
3,498
4,242
3,492
2,425
3,047
1,552
2,893
1,527
2,820
614
4,188
1,632
2,343
120
2,181
141
528
3,275
684
3,800
Source: U.S. Census Bureau, Statistical Abstract of the United States: 2012, Tables 308 and 443.
Notes:
Bachelor's
Degree
27.98
a. Limited data for Illinois during 2008 were available.
b. Limited data for Minnesota during 2008 were available.
6.185
38.259
Graduate
Degree
28.99
6.205
38.496
CHAPTER 4 Measures of Variability](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8d37e0d-e4ba-4824-8046-15a7cedd1259%2F01736cb4-d83e-4f47-bb50-74583a1a9a07%2Flp7sqqc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:es of
ution
ith a
the
12-
w.
five categories (DEGREE).
for respondent's age when first child was born (AGEKDBRN) is reported for
Identify the level of measurement for DEGREE and AGEKDBRN.
a.
b. Describe the relationship between respondent degree and age when first child was born.
Mean
Standard deviation
Variance
State
Maine
New Hampshire
Vermont
Massachusetts
Rhode Island
Connecticut
New York
New Jersey
Pennsylvania
Less Than
High School
Ohio
Indiana
Illinois
Michigan
Wisconsin
Minnesota
20.72
lowa
Missouri
North Dakota
South Dakota
Nebraska
Kansas
4.745
22.512
High
School
23.34
5.542
30,709
Some
College
23.46
9. You are interested in studying the variability of crimes committed (including violent and
property crimes) and police expenditures in the eastern and Midwestern United States. The
U.S. Census Bureau collected the following statistics on these two variables for 21 states in
the East and Midwest in 2008.
Number of Crimes per
100,000 Population
5.575
31.082
Police Protection Expenditures
(in Millions of Dollars)
2,583
233
2,384
317
2,761
141
2,860
1,843
3,098
317
2,798
996
2,407
8,164
2,618
3,087
2,842
2,840
3,982
3,157
3,947
1,223
3,498
4,242
3,492
2,425
3,047
1,552
2,893
1,527
2,820
614
4,188
1,632
2,343
120
2,181
141
528
3,275
684
3,800
Source: U.S. Census Bureau, Statistical Abstract of the United States: 2012, Tables 308 and 443.
Notes:
Bachelor's
Degree
27.98
a. Limited data for Illinois during 2008 were available.
b. Limited data for Minnesota during 2008 were available.
6.185
38.259
Graduate
Degree
28.99
6.205
38.496
CHAPTER 4 Measures of Variability
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