stat200 Assignment1
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University of Delaware *
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Course
200
Subject
Statistics
Date
Apr 3, 2024
Type
Pages
17
Uploaded by ChancellorElectron13709
2/13/24, 1:16 PM
Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
https://udel.instructure.com/courses/1766087/quizzes/3243057/take
1/17
Assignment 1: Types of variables; Stem and Leaf and
Box Plots; Measures of Central Tendency..
Started: Feb 13 at 12:21pm
Quiz Instructions
This assignment will be self-graded. You first do the work given in the Word file, and then you will
take a Quiz on your result. This may be new for you, so for the first one I will give you two chances for
the first one (but only the first one).
The focus of this assignment is on types of variables; and the Stem and Leaf and Box Plots; and
measures of central tendency.
Don't start this assignment until you are ready.
First you will work with the data in a Word file (you
can move it to Excel) and do some analysis. Then you will be ready to answer the questions. We will
give a generous amount of time to complete it - 3 hours - but you can't leave it open forever. And once
you open it, you must finish it. I will allow two chances for the first assignment so you can get used to this format. This is only
for the first assignment.
The file for this assignment is below, along with a Excel file for an optional problem.
STAT 200 ASS1 2023.docx
(https://udel.instructure.com/courses/1766087/files/131101409?wrap=1)
This file is an example for the Optional problem.
Rank of Thomas.xlsx
(https://udel.instructure.com/courses/1766087/files/131101315/download?wrap=1) (https://udel.instructure.com/courses/1766087/files/131101315/download?download_frd=1)
I will arrange that your answers will be shown to you by the time the exam is open
, but not before
then. That is because students tend to share answers too easily.
The Excel file might be useful: Basic STATS.xlsx
(https://udel.instructure.com/courses/1766087/files/131101455?wrap=1) (https://udel.instructure.com/courses/1766087/files/131101455/download?download_frd=1)
0.1 pts
Question 1
2/13/24, 1:16 PM
Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
https://udel.instructure.com/courses/1766087/quizzes/3243057/take
2/17
Each year the Academy of the Screen Actors Guild gives an award for the best
actor and actress in a motion picture.
We have recorded the name and age of
each since 1996. The data for males and females is given below (the sample size, n
=27). The sum of their age is also given.
YEAR
ACTOR
MALE
AGE
ACTRESS
FEMALE
AGE
1996
Geoffrey Rush
45
Frances McDormand
39
1997
Jack Nicholson
60
Helen Hunt
34
1998
Roberto Benigni
46
Gwyneth Paltrow
26
1999
Kevin Spacey
40
Hilary Swank
25
2000
Russell Crowe
36
Julia Roberts
33
2001
Denzel Washington
47
Halle Berry
35
2002
Adrien Brody
29
Nicole Kidman
35
2003
Sean Penn
43
Charlize Theron
28
2004
Jamie Foxx
37
Hilary Swank
30
2005
Philip Seymour
Hoffman
38
Reese Witherspoon
29
2006
Forest Whitiker
45
Helen Mirren
61
2007
Daniel Day-Lewis
50
Marion Cotillard
32
2008
Sean Penn
48
Kate Winslet
33
2009
Jeff Bridges
60
Sandra Bullock
45
2010
Colin Firth
50
Natalie Portman
29
2011
Jean Dujardin
39
Meryl Streep
62
2012
Daniel Day-Lewis
55
Jennifer Lawrence
22
2013
Matthew
McConaughey
44
Cate Blanchett
44
2014
Eddie Redmayne
32
Julianne Moore
54
2015
Leonardo DiCaprio
41
Brie Larson
26
2016
Casey Affleck
41
Emma Stone
28
2017
Gary Oldman
59
Frances McDormand
60
2018
Rami Malek
37
Olivia Colman
45
2019
Joaquin Phoenix
45
Renee Zellweger
50
2020
Anthony Hopkins
83
Frances McDormand
63
2021
Will Smith
53
Jessica Chastain
44
2/13/24, 1:16 PM
Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
https://udel.instructure.com/courses/1766087/quizzes/3243057/take
3/17
35
2022
Brandan Fraser
54
Michelle Yeoh
60
Sum X
1257
Sum X
1072
Sum X-squared 61635
Sum X-squared
47012
What is the Median Age for women? Use 3 decimal places and the proper rules of
rounding.
0.1 pts
Question 2
Each year the Academy of the Screen Actors Guild gives an award for the best
actor and actress in a motion picture.
We have recorded the name and age of
each since 1996. The data for males and females is given below (the sample size, n
=27). The sum of their age is also given.
YEAR
ACTOR
MALE
AGE
ACTRESS
FEMALE
AGE
1996
Geoffrey Rush
45
Frances McDormand
39
1997
Jack Nicholson
60
Helen Hunt
34
1998
Roberto Benigni
46
Gwyneth Paltrow
26
1999
Kevin Spacey
40
Hilary Swank
25
2000
Russell Crowe
36
Julia Roberts
33
2001
Denzel Washington
47
Halle Berry
35
2002
Adrien Brody
29
Nicole Kidman
35
2003
Sean Penn
43
Charlize Theron
28
2004
Jamie Foxx
37
Hilary Swank
30
2005
Philip Seymour
Hoffman
38
Reese Witherspoon
29
2006
Forest Whitiker
45
Helen Mirren
61
2007
Daniel Day-Lewis
50
Marion Cotillard
32
2008
Sean Penn
48
Kate Winslet
33
2009
Jeff Bridges
60
Sandra Bullock
45
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2/13/24, 1:16 PM
Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
https://udel.instructure.com/courses/1766087/quizzes/3243057/take
4/17
2010
Colin Firth
50
Natalie Portman
29
2011
Jean Dujardin
39
Meryl Streep
62
2012
Daniel Day-Lewis
55
Jennifer Lawrence
22
2013
Matthew
McConaughey
44
Cate Blanchett
44
2014
Eddie Redmayne
32
Julianne Moore
54
2015
Leonardo DiCaprio
41
Brie Larson
26
2016
Casey Affleck
41
Emma Stone
28
2017
Gary Oldman
59
Frances McDormand
60
2018
Rami Malek
37
Olivia Colman
45
2019
Joaquin Phoenix
45
Renee Zellweger
50
2020
Anthony Hopkins
83
Frances McDormand
63
2021
Will Smith
53
Jessica Chastain
44
2022
Brandan Fraser
54
Michelle Yeoh
60
Sum X
1257
Sum X
1072
Sum X-squared 61635
Sum X-squared
47012
For females, the median is pulled upward, toward the group of outliers.
True
False
0.1 pts
Question 3
Each year the Academy of the Screen Actors Guild gives an award for the best
actor and actress in a motion picture.
We have recorded the name and age of
each since 1996. The data for males and females is given below (the sample size, n
=27). The sum of their age is also given.
YEAR
ACTOR
MALE
AGE
ACTRESS
FEMALE
AGE
1996
Geoffrey Rush
45
Frances McDormand
39
1997
Jack Nicholson
60
Helen Hunt
34
1998
Roberto Benigni
46
Gwyneth Paltrow
26
2/13/24, 1:16 PM
Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
https://udel.instructure.com/courses/1766087/quizzes/3243057/take
5/17
1999
Kevin Spacey
40
Hilary Swank
25
2000
Russell Crowe
36
Julia Roberts
33
2001
Denzel Washington
47
Halle Berry
35
2002
Adrien Brody
29
Nicole Kidman
35
2003
Sean Penn
43
Charlize Theron
28
2004
Jamie Foxx
37
Hilary Swank
30
2005
Philip Seymour
Hoffman
38
Reese Witherspoon
29
2006
Forest Whitiker
45
Helen Mirren
61
2007
Daniel Day-Lewis
50
Marion Cotillard
32
2008
Sean Penn
48
Kate Winslet
33
2009
Jeff Bridges
60
Sandra Bullock
45
2010
Colin Firth
50
Natalie Portman
29
2011
Jean Dujardin
39
Meryl Streep
62
2012
Daniel Day-Lewis
55
Jennifer Lawrence
22
2013
Matthew
McConaughey
44
Cate Blanchett
44
2014
Eddie Redmayne
32
Julianne Moore
54
2015
Leonardo DiCaprio
41
Brie Larson
26
2016
Casey Affleck
41
Emma Stone
28
2017
Gary Oldman
59
Frances McDormand
60
2018
Rami Malek
37
Olivia Colman
45
2019
Joaquin Phoenix
45
Renee Zellweger
50
2020
Anthony Hopkins
83
Frances McDormand
63
2021
Will Smith
53
Jessica Chastain
44
2022
Brandan Fraser
54
Michelle Yeoh
60
Sum X
1257
Sum X
1072
Sum X-squared 61635
Sum X-squared
47012
There is a unique Mode for females.
True
False
2/13/24, 1:16 PM
Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
https://udel.instructure.com/courses/1766087/quizzes/3243057/take
6/17
0.1 pts
Question 4
Each year the Academy of the Screen Actors Guild gives an award for the best
actor and actress in a motion picture.
We have recorded the name and age of
each since 1996. The data for males and females is given below (the sample size, n
=27). The sum of their age is also given.
YEAR
ACTOR
MALE
AGE
ACTRESS
FEMALE
AGE
1996
Geoffrey Rush
45
Frances McDormand
39
1997
Jack Nicholson
60
Helen Hunt
34
1998
Roberto Benigni
46
Gwyneth Paltrow
26
1999
Kevin Spacey
40
Hilary Swank
25
2000
Russell Crowe
36
Julia Roberts
33
2001
Denzel Washington
47
Halle Berry
35
2002
Adrien Brody
29
Nicole Kidman
35
2003
Sean Penn
43
Charlize Theron
28
2004
Jamie Foxx
37
Hilary Swank
30
2005
Philip Seymour
Hoffman
38
Reese Witherspoon
29
2006
Forest Whitiker
45
Helen Mirren
61
2007
Daniel Day-Lewis
50
Marion Cotillard
32
2008
Sean Penn
48
Kate Winslet
33
2009
Jeff Bridges
60
Sandra Bullock
45
2010
Colin Firth
50
Natalie Portman
29
2011
Jean Dujardin
39
Meryl Streep
62
2012
Daniel Day-Lewis
55
Jennifer Lawrence
22
2013
Matthew
McConaughey
44
Cate Blanchett
44
2014
Eddie Redmayne
32
Julianne Moore
54
2015
Leonardo DiCaprio
41
Brie Larson
26
2016
Casey Affleck
41
Emma Stone
28
2017
Gary Oldman
59
Frances McDormand
60
2018
Rami Malek
37
Olivia Colman
45
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2/13/24, 1:16 PM
Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
https://udel.instructure.com/courses/1766087/quizzes/3243057/take
7/17
46.556
2019
Joaquin Phoenix
45
Renee Zellweger
50
2020
Anthony Hopkins
83
Frances McDormand
63
2021
Will Smith
53
Jessica Chastain
44
2022
Brandan Fraser
54
Michelle Yeoh
60
Sum X
1257
Sum X
1072
Sum X-squared 61635
Sum X-squared
47012
What is the Mean Age for men? Use 3 decimal places and the proper rules of
rounding.
0.1 pts
Question 5
Each year the Academy of the Screen Actors Guild gives an award for the best
actor and actress in a motion picture.
We have recorded the name and age of
each since 1996. The data for males and females is given below (the sample size, n
=27). The sum of their age is also given.
YEAR
ACTOR
MALE
AGE
ACTRESS
FEMALE
AGE
1996
Geoffrey Rush
45
Frances McDormand
39
1997
Jack Nicholson
60
Helen Hunt
34
1998
Roberto Benigni
46
Gwyneth Paltrow
26
1999
Kevin Spacey
40
Hilary Swank
25
2000
Russell Crowe
36
Julia Roberts
33
2001
Denzel Washington
47
Halle Berry
35
2002
Adrien Brody
29
Nicole Kidman
35
2003
Sean Penn
43
Charlize Theron
28
2004
Jamie Foxx
37
Hilary Swank
30
2005
Philip Seymour
Hoffman
38
Reese Witherspoon
29
2006
Forest Whitiker
45
Helen Mirren
61
2007
Daniel Day-Lewis
50
Marion Cotillard
32
2/13/24, 1:16 PM
Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
https://udel.instructure.com/courses/1766087/quizzes/3243057/take
8/17
45
2008
Sean Penn
48
Kate Winslet
33
2009
Jeff Bridges
60
Sandra Bullock
45
2010
Colin Firth
50
Natalie Portman
29
2011
Jean Dujardin
39
Meryl Streep
62
2012
Daniel Day-Lewis
55
Jennifer Lawrence
22
2013
Matthew
McConaughey
44
Cate Blanchett
44
2014
Eddie Redmayne
32
Julianne Moore
54
2015
Leonardo DiCaprio
41
Brie Larson
26
2016
Casey Affleck
41
Emma Stone
28
2017
Gary Oldman
59
Frances McDormand
60
2018
Rami Malek
37
Olivia Colman
45
2019
Joaquin Phoenix
45
Renee Zellweger
50
2020
Anthony Hopkins
83
Frances McDormand
63
2021
Will Smith
53
Jessica Chastain
44
2022
Brandan Fraser
54
Michelle Yeoh
60
Sum X
1257
Sum X
1072
Sum X-squared 61635
Sum X-squared
47012
What is the median age for men? Use 3 decimal places and the proper rules of
rounding.
0.1 pts
Question 6
Each year the Academy of the Screen Actors Guild gives an award for the best
actor and actress in a motion picture.
We have recorded the name and age of
each since 1996. The Stem and Leaf plots for males and females are given below
(the sample size, n =26). Male Actor Age
Female Actor Age
Stem
Leaf
Stem
Leaf
2/13/24, 1:16 PM
Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
https://udel.instructure.com/courses/1766087/quizzes/3243057/take
9/17
2|
2|
2
2|
9
2|
5 6 6 8 8 9 9
3|
2
3|
0 2 3 3 4
3|
6 7 7 8 9
3|
5 5 9
4|
0 1 1 3 4
4|
4 4
4|
5 5 5 6 7 8
4|
5 5
5|
0 0 3 4
5|
0 4
5|
5 9
5|
6|
0 0
6|
0 0 1 2 4
6|
6|
7|
7|
7|
7|
8|
3
8|
4|
5 is 45 years old 4|
5 is 45
years old Which single stem shows the most data points for females?
women 20 to 30
women 30 to 34
women 20 to 24
women 25 to 29
0.1 pts
Question 7
Each year the Academy of the Screen Actors Guild gives an award for the best
actor and actress in a motion picture.
We have recorded the name and age of
each since 1996. The Stem and Leaf plots for males and females are given below
(the sample size, n =26). Male Actor Age
Female Actor Age
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2/13/24, 1:16 PM
Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
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10/17
Stem
Leaf
Stem
Leaf
2|
2|
2
2|
9
2|
5 6 6 8 8 9 9
3|
2
3|
0 2 3 3 4
3|
6 7 7 8 9
3|
5 5 9
4|
0 1 1 3 4
4|
4 4
4|
5 5 5 6 7 8
4|
5 5
5|
0 0 3 4
5|
0 4
5|
5 9
5|
6|
0 0
6|
0 0 1 2 4
6|
6|
7|
7|
7|
7|
8|
3
8|
4|
5 is 45 years old 4|
5 is 45
years old Based on the Stem and Leaf Plot for women, the distribution is left skewed.
True
False
0.1 pts
Question 8
In 2023 the 57th Super Bowl was played in Glendale, Arizona between the
Kansas City Chefs and the Philadelphia Eagles. I started to make a data set on
the Super Bowl for each year and added a number of variables. For each variable,
tell me if the level of measurement is Nominal, Ordinal, or Continuous.
2/13/24, 1:16 PM
Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
https://udel.instructure.com/courses/1766087/quizzes/3243057/take
11/17
The quarter of the game when the winning team first took the lead (first quarter,
second quarter, third quarter, or fourth quarter).
Continuous
Ordinal
None of the answers are correct
Nominal
0.1 pts
Question 9
In 2023 the 57th Super Bowl was played in Glendale, Arizona between the
Kansas City Chefs and the Philadelphia Eagles. I started to make a data set on
the Super Bowl for each year and added a number of variables. For each variable,
tell me if the level of measurement is Nominal, Ordinal, or Continuous.
The winning margin between the winning score and the losing score (winning
score - losing score).
Ordinal
None of the answers are correct
Continuous
Nominal
0.1 pts
Question 10
In 2023 the 57th Super Bowl was played in Glendale, Arizona between the
Kansas City Chefs and the Philadelphia Eagles. I started to make a data set on
the Super Bowl for each year and added a number of variables. For each variable,
tell me if the level of measurement is Nominal, Ordinal, or Continuous.
2/13/24, 1:16 PM
Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
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12/17
The score of the game for the losing team.
None of the answers are correct
Continuos
Ordinal
Nominal
0.1 pts
Question 11
In 2023 the 57th Super Bowl was played in Glendale, Arizona between the
Kansas City Chefs and the Philadelphia Eagles. I started to make a data set on
the Super Bowl for each year and added a number of variables. This is a Stem and Leaf Plot of the Score of the Winning Team.
WINNER
STEM
LEAF
COUNT
0|
0
0|
0
1|
3 4 2
1|
6 6 6 7
4
2|
0 0 0 1 1 1 3 3 3 4 4 4 4 13
2|
6 7 7 7 7 7 8 9
8
3|
0 1 1 1 1 1 1 2 2 3 4 4 4 4 14
3|
5 5 5 7 8 8 8 9
8
4|
1 2 3 3
4|
6 8 9 3
5|
2
1
5|
5
1
3| 1 stands for 31 points
The Sum of X for the Winner's score is 1718. The sample size is 57.
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Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
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The mode is the most frequent value. With a Stem and Leaf plot you can see
whether or not there is a most frequent value. For the Score of the Winning
Team in the Super Bowl, the mode is 31.
True
False
0.1 pts
Question 12
In 2023 the 57th Super Bowl was played in Glendale, Arizona between the
Kansas City Chefs and the Philadelphia Eagles. I started to make a data set on
the Super Bowl for each year and added a number of variables. This is a Stem and Leaf Plot of the Score of the Winning Team.
WINNER
STEM
LEAF
COUNT
0|
0
0|
0
1|
3 4 2
1|
6 6 6 7
4
2|
0 0 0 1 1 1 3 3 3 4 4 4 4 13
2|
6 7 7 7 7 7 8 9
8
3|
0 1 1 1 1 1 1 2 2 3 4 4 4 4 14
3|
5 5 5 7 8 8 8 9
8
4|
1 2 3 3
4|
6 8 9 3
5|
2
1
5|
5
1
3| 1 stands for 31 points
The Sum of X for the Winner's score is 1718. The sample size is 57.
2/13/24, 1:16 PM
Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
https://udel.instructure.com/courses/1766087/quizzes/3243057/take
14/17
31
What is the median number of points scored by the winning team in the Super
Bowl. Use two decimal places for your answer and use the proper rules of rounding.
0.1 pts
Question 13
In 2023 the 57th Super Bowl was played in Glendale, Arizona between the
Kansas City Chefs and the Philadelphia Eagles. I started to make a data set on
the Super Bowl for each year and added a number of variables. This is a Stem and Leaf Plot of the Score of the Winning Team.
WINNER
STEM
LEAF
COUNT
0|
0
0|
0
1|
3 4 2
1|
6 6 6 7
4
2|
0 0 0 1 1 1 3 3 3 4 4 4 4 13
2|
6 7 7 7 7 7 8 9
8
3|
0 1 1 1 1 1 1 2 2 3 4 4 4 4 14
3|
5 5 5 7 8 8 8 9
8
4|
1 2 3 3
4|
6 8 9 3
5|
2
1
5|
5
1
3| 1 stands for 31 points
The Sum of X for the Winner's score is 1718. The sample size is 57.
The Mode value for the winning score is close to the mean.
True
2/13/24, 1:16 PM
Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
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15/17
False
0.1 pts
Question 14
In 2023 the 57th Super Bowl was played in Glendale, Arizona between the
Kansas City Chefs and the Philadelphia Eagles. I started to make a data set on
the Super Bowl for each year and added a number of variables. This is a Stem and Leaf Plot of the Score of the Winning Team.
WINNER
STEM
LEAF
COUNT
0|
0
0|
0
1|
3 4 2
1|
6 6 6 7
4
2|
0 0 0 1 1 1 3 3 3 4 4 4 4 13
2|
6 7 7 7 7 7 8 9
8
3|
0 1 1 1 1 1 1 2 2 3 4 4 4 4 14
3|
5 5 5 7 8 8 8 9
8
4|
1 2 3 3
4|
6 8 9 3
5|
2
1
5|
5
1
3| 1 stands for 31 points
The Sum of X for the Winner's score is 1718. The sample size is 57.
What is the median position for number of points scored by the winning team
in the Super Bowl. Use only a whole number for your answer and use the proper
rules of rounding.
The 29th value in a sorted list.
The average of the values of the 27th and the 28th observations in a sorted list.
The 27th value in a sorted list.
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Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
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The average of the values of the 28th and 29th observations in a sorted list.
0.1 pts
Question 15
In 2023 the 57th Super Bowl was played in Glendale, Arizona between the
Kansas City Chefs and the Philadelphia Eagles. I started to make a data set on
the Super Bowl for each year and added a number of variables. This is a Stem and Leaf Plot of the Score of the Winning Team.
WINNER
STEM
LEAF
COUNT
0|
0
0|
0
1|
3 4 2
1|
6 6 6 7
4
2|
0 0 0 1 1 1 3 3 3 4 4 4 4 13
2|
6 7 7 7 7 7 8 9
8
3|
0 1 1 1 1 1 1 2 2 3 4 4 4 4 14
3|
5 5 5 7 8 8 8 9
8
4|
1 2 3 3
4|
6 8 9 3
5|
2
1
5|
5
1
3| 1 stands for 31 points
The Sum of X for the Winner's score is 1718. The sample size is 57.
The largest number of values are in the high 30s (35 to 39).
True
False
2/13/24, 1:16 PM
Quiz: Assignment 1: Types of variables; Stem and Leaf and Box Plots; Measures of Central Tendency..
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17/17
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