Download Active Learning Lecture Slides For use with

Active Learning Lecture Slides
For use with Classroom Response Systems
Exploring Data with Graphs and Numerical
Summaries
2.1 Identify the list which contains only
categorical variables?
a) Month of birth, age, favorite color
b) Month of birth, height, weight
c) Marital status, major in school, HIV status
d) Marital status, height, favorite color
e) HIV status, marital status, GPA
Copyright © 2013 Pearson Education, Inc.
2.1 Identify the list which contains only
categorical variables?
a) Month of birth, age, favorite color
b) Month of birth, height, weight
c) Marital status, major in school, HIV status
d) Marital status, height, favorite color
e) HIV status, marital status, GPA
Copyright © 2013 Pearson Education, Inc.
2.2 Identify the list which contains only
quantitative variables.
a) Favorite food, height, SAT score
b) Weight, zip code, height
c) GPA, height, SAT score
d) Time to run 15K, SAT score, HIV status
e) Time to run 15K, major in school, zip code
Copyright © 2013 Pearson Education, Inc.
2.2 Identify the list which contains only
quantitative variables.
a) Favorite food, height, SAT score
b) Weight, zip code, height
c) GPA, height, SAT score
d) Time to run 15K, SAT score, HIV status
e) Time to run 15K, major in school, zip code
Copyright © 2013 Pearson Education, Inc.
2.3 Identify the answer choice that is an
example of a discrete quantitative variable.
a) The number of people to complete a 5K run.
b) The time to complete a 5K run.
c) The weight of each participant in a 5K run.
d) The amount of each participants exertion (high,
medium, low) in a 5K run.
e) The types of running shoes worn in a 5K run.
Copyright © 2013 Pearson Education, Inc.
2.3 Identify the answer choice that is an
example of a discrete quantitative variable.
a) The number of people to complete a 5K run.
b) The time to complete a 5K run.
c) The weight of each participant in a 5K run.
d) The amount of each participants exertion (high,
medium, low) in a 5K run.
e) The types of running shoes worn in a 5K run.
Copyright © 2013 Pearson Education, Inc.
2.4 Identify the answer choice that is an
example of a continuous quantitative variable.
a) The year a car was manufactured.
b) The country in which the car was
manufactured.
c) The number of cylinders the cars engine has
(4,6,8…).
d) The time it takes the car to reach 60 mph from
a dead stop.
e) The color of the car.
Copyright © 2013 Pearson Education, Inc.
2.4 Identify the answer choice that is an
example of a continuous quantitative variable.
a) The year a car was manufactured.
b) The country in which the car was
manufactured.
c) The number of cylinders the cars engine has
(4,6,8…).
d) The time it takes the car to reach 60 mph from
a dead stop.
e) The color of the car.
Copyright © 2013 Pearson Education, Inc.
2.5 In 2006 the GSS asked, “How often do you
read a traditional newspaper?” (i.e. one that is
printed with ink on paper and NOT counting what
you read online). The answers are displayed in
the table below. What is the mode?
a) Every Day
b) A few times a week
c) Once a week
d) Less than once a week
e) Never
Copyright © 2013 Pearson Education, Inc.
2.5 In 2006 the GSS asked, “How often do you
read a traditional newspaper?” (i.e. one that is
printed with ink on paper and NOT counting what
you read online). The answers are displayed in
the table below. What is the mode?
a) Every Day
b) A few times a week
c) Once a week
d) Less than once a week
e) Never
Copyright © 2013 Pearson Education, Inc.
2.6 In 2002 the GSS asked, “How important is it
for a person to be considered an adult for them to
be no longer living in their parents’ household?”.
The responses are listed in the table below.
Approximately how many participants were asked
this question?
a) 5
b) 500
c) 1000
d) 1300
e) 1500
Copyright © 2013 Pearson Education, Inc.
2.6 In 2002 the GSS asked, “How important is it
for a person to be considered an adult for them to
be no longer living in their parents’ household?”.
The responses are listed in the table below.
Approximately how many participants were asked
this question?
a) 5
b) 500
c) 1000
d) 1300
e) 1500
Copyright © 2013 Pearson Education, Inc.
2.9 In 2005, the census bureau conducted a
survey to determine the median income per
household per state. What is the best description
of the histogram of the results?
a) Bi-modal
b) Perfectly bell shaped
c) Slightly left skewed
d) Slightly right skewed
Copyright © 2013 Pearson Education, Inc.
2.9 In 2005, the census bureau conducted a
survey to determine the median income per
household per state. What is the best description
of the histogram of the results?
a) Bi-modal
b) Perfectly bell shaped
c) Slightly left skewed
d) Slightly right skewed
Copyright © 2013 Pearson Education, Inc.
2.10 Which measure of center is most influenced
by outliers?
a) Mode
b) Median
c) Mean
d) Standard deviation
e) Variance
Copyright © 2013 Pearson Education, Inc.
2.10 Which measure of center is most influenced
by outliers?
a) Mode
b) Median
c) Mean
d) Standard deviation
e) Variance
Copyright © 2013 Pearson Education, Inc.
2.11 What can be said about the relationship
between the mean and median in the dotplot
below?
a) The mean is smaller
than the median.
b) The mean is bigger than
the median.
c) The mean is equal to the
median.
d) Nothing can be
determined based on the
graph.
Copyright © 2013 Pearson Education, Inc.
2.11 What can be said about the relationship
between the mean and median in the dotplot
below?
a) The mean is smaller
than the median.
b) The mean is bigger than
the median.
c) The mean is equal to the
median.
d) Nothing can be
determined based on the
graph.
Copyright © 2013 Pearson Education, Inc.
2.12 An investor was interested in determining
how much gain she had in her 401K plan in the
last 6 quarters. The data is listed below. Find the
median and the mean of the data.
-510 110 1230 1900 -680 1700
a) Mean = 1021.7
b) Mean = 1021.7
c) Mean = 625
d) Mean = 625
e) Mean = 625
Copyright © 2013 Pearson Education, Inc.
Median = 670
Median = 1565
Median = 3.5
Median = 670
Median = 1565
2.12 An investor was interested in determining
how much gain she had in her 401K plan in the
last 6 quarters. The data is listed below. Find the
median and the mean of the data.
-510 110 1230 1900 -680 1700
a) Mean = 1021.7
b) Mean = 1021.7
c) Mean = 625
d) Mean = 625
e) Mean = 625
Copyright © 2013 Pearson Education, Inc.
Median = 670
Median = 1565
Median = 3.5
Median = 670
Median = 1565
2.13 In 2004 one of the questions on the GSS
survey asked respondents, “To how many service
clubs do you belong?” Find the median from the
data listed in the table below.
No. of Organizations
Frequency
1 organization
111
2 organizations
14
a) 0 organizations
3 organizations
b) 1 organization
4 organizations
c) 2 organizations
7 or more organizations
d) 3 organizations
e) Cannot be determined
Copyright © 2013 Pearson Education, Inc.
14
3
1
2.13 In 2004 one of the questions on the GSS
survey asked respondents, “To how many service
clubs do you belong?” Find the median from the
data listed in the table below.
No. of Organizations
Frequency
1 organization
111
2 organizations
14
a) 0 organizations
3 organizations
b) 1 organization
4 organizations
c) 2 organizations
7 or more organizations
d) 3 organizations
e) Cannot be determined
Copyright © 2013 Pearson Education, Inc.
14
3
1
2.15 An investor was interested in determining
how much gain she had in her 401K plan in the
last 6 quarters. Find the range and the standard
deviation from the data listed below.
-510 110 1230 1900 -680 1700
a) Range = 2580
b) Range = 1220
c) Range = 2580
d) Range = 1220
Copyright © 2013 Pearson Education, Inc.
Standard Deviation = 1131.7
Standard Deviation = 1131.7
Standard Deviation = 1033.1
Standard Deviation = 1033.1
2.15 An investor was interested in determining
how much gain she had in her 401K plan in the
last 6 quarters. Find the range and the standard
deviation from the data listed below.
-510 110 1230 1900 -680 1700
a) Range = 2580
b) Range = 1220
c) Range = 2580
d) Range = 1220
Copyright © 2013 Pearson Education, Inc.
Standard Deviation = 1131.7
Standard Deviation = 1131.7
Standard Deviation = 1033.1
Standard Deviation = 1033.1
2.16 Which of the following is NOT a property of
the standard deviation?
a) It has the same units as the data.
b) It can never be negative.
c) It can be thought of as the average distance
from the points to the mean.
d) It can never equal zero.
e) It is not resistant to outliers.
Copyright © 2013 Pearson Education, Inc.
2.16 Which of the following is NOT a property of
the standard deviation?
a) It has the same units as the data.
b) It can never be negative.
c) It can be thought of as the average distance
from the points to the mean.
d) It can never equal zero.
e) It is not resistant to outliers.
Copyright © 2013 Pearson Education, Inc.
2.17 Suppose that the height of college males
has a bell shaped distribution with a mean of 70
inches and a standard deviation of 2 inches.
Approximately what percentage of college males
are between 66 and 74 inches?
a) 68%
b) 90%
c) 95%
d) 99.7%
e) 100%
Copyright © 2013 Pearson Education, Inc.
2.17 Suppose that the height of college males
has a bell shaped distribution with a mean of 70
inches and a standard deviation of 2 inches.
Approximately what percentage of college males
are between 66 and 74 inches?
a) 68%
b) 90%
c) 95%
d) 99.7%
e) 100%
Copyright © 2013 Pearson Education, Inc.
2.18 Which data set below would have a larger
standard deviation?
a) Data Set A
b) Data Set B
c) Data Set C
Copyright © 2013 Pearson Education, Inc.
d) The standard deviation is the
same for all three data sets.
e) Cannot be determined
2.18 Which data set below would have a larger
standard deviation?
a) Data Set A
b) Data Set B
c) Data Set C
Copyright © 2013 Pearson Education, Inc.
d) The standard deviation is the
same for all three data sets.
e) Cannot be determined
2.19 Suppose that the average salary for a K-12
teacher in South Carolina is $40,000. Which of
the following values would be a reasonable value
for the standard deviation?
a) -1,000
b) 0
c) 1,000
d) 5,000
e) 14,000
Copyright © 2013 Pearson Education, Inc.
2.19 Suppose that the average salary for a K-12
teacher in South Carolina is $40,000. Which of
the following values would be a reasonable value
for the standard deviation?
a) -1,000
b) 0
c) 1,000
d) 5,000
e) 14,000
Copyright © 2013 Pearson Education, Inc.
2.20 There are 13 students in an Introduction to
Statistics class. Find the first and third quartiles of
the scores for the class listed below.
60 65 65 70 75 75 75 80 80 80 85 85 85
a) Q1 = 65
b) Q1 = 70
c) Q1 = 67.5
d) Q1 = 65
e) Q1 = 70
Q3 = 80
Q3 = 85
Q3 = 82.5
Q3 = 82.5
Q3 = 80
Copyright © 2013 Pearson Education, Inc.
2.20 There are 13 students in an Introduction to
Statistics class. Find the first and third quartiles of
the scores for the class listed below.
60 65 65 70 75 75 75 80 80 80 85 85 85
a) Q1 = 65
b) Q1 = 70
c) Q1 = 67.5
d) Q1 = 65
e) Q1 = 70
Q3 = 80
Q3 = 85
Q3 = 82.5
Q3 = 82.5
Q3 = 80
Copyright © 2013 Pearson Education, Inc.
2.21 In Arizona the median salary for high school
academic advisors is about $35,000. Use the data
below to find the IQR for the salaries of Arizona
high school academic advisors.
x  34,000; s  4,000; Q1  29,000; Q3  38,000
a) IQR = $9,000
b) IQR = $6,000
c) IQR = $4,000
d) IQR = $3,000
Copyright © 2013 Pearson Education, Inc.
2.21 In Arizona the median salary for high school
academic advisors is about $35,000. Use the data
below to find the IQR for the salaries of Arizona
high school academic advisors.
x  34,000; s  4,000; Q1  29,000; Q3  38,000
a) IQR = $9,000
b) IQR = $6,000
c) IQR = $4,000
d) IQR = $3,000
Copyright © 2013 Pearson Education, Inc.
2.22 Below are some descriptive statistics about
the median household income per state. Is Puerto
Rico, with $20,107 dollars as its median income, a
potential outlier?
x  55, 062
a) Yes, it is below Q1-1.5*IQR.
b) No, it is not below Q1 -1.5*IQR.
c) Yes, it is the minimum so it is an
outlier.
d) It cannot be determined from the
given information.
s  9899
min  20107
Q1  48916
Q3  61401
max  75541
http://www.census.gov/hhes/www/income/statemedfaminc.html
Copyright © 2013 Pearson Education, Inc.
2.22 Below are some descriptive statistics about
the median household income per state. Is Puerto
Rico, with $20,107 dollars as its median income, a
potential outlier?
x  55, 062
a) Yes, it is below Q1-1.5*IQR.
b) No, it is not below Q1 -1.5*IQR.
c) Yes, it is the minimum so it is an
outlier.
d) It cannot be determined from the
given information.
s  9899
min  20107
Q1  48916
Q3  61401
max  75541
http://www.census.gov/hhes/www/income/statemedfaminc.html
Copyright © 2013 Pearson Education, Inc.
2.23 A personal trainer was interested in studying the
effects of different types of diets (liquid diet, prepared
meals, and low carb) on total weight loss in two months.
What description below best describes the boxplots
below?
a) The range of the data
sets are very similar.
b) The median weight
loss is similar for the
diets.
c) The third quartiles
weight loss is similar
for the diets.
Copyright © 2013 Pearson Education, Inc.
2.23 A personal trainer was interested in studying the
effects of different types of diets (liquid diet, prepared
meals, and low carb) on total weight loss in two months.
What description below best describes the boxplots
below?
a) The range of the data
sets are very similar.
b) The median weight loss
is similar for the diets.
c) The third quartiles
weight loss is similar for
the diets.
Copyright © 2013 Pearson Education, Inc.
2.24 A personal trainer was interested in studying
the effects of different types of diets (liquid diet,
prepared meals, and low carb) on total weight loss in
two months. Which boxplot has the biggest IQR?
a) Liquid Diet
b) Prepared Meals
c) Low Carb
d) They are the same
e) Cannot be
determined
Copyright © 2013 Pearson Education, Inc.
2.24 A personal trainer was interested in studying
the effects of different types of diets (liquid diet,
prepared meals, and low carb) on total weight loss in
two months. Which boxplot has the biggest IQR?
a) Liquid Diet
b) Prepared Meals
c) Low Carb
d) They are the same
e) Cannot be
determined
Copyright © 2013 Pearson Education, Inc.
2.26 In general, when drawing graphs the vertical
axis should start with ________.
a) zero
b) the minimum count for the smallest category
c) a number ending in “0”
d) an even number
Copyright © 2013 Pearson Education, Inc.
2.26 In general, when drawing graphs the vertical
axis should start with ________.
a) zero
b) the minimum count for the smallest category
c) a number ending in “0”
d) an even number
Copyright © 2013 Pearson Education, Inc.