Deck 2: Describing Data

Question 1

Which statistic is more resistant to outliers (or extreme data values)?

A) Mean
B) Median

Answer 1

Median

Question 2

Which statistic is more resistant to outliers (or extreme data values)?

A) Interquartile Range
B) Standard Deviation

Answer 2

Interquartile Range

Question 3

Use the following
February 12, 2009 marked the 200^th anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization, surveyed 1,018 Americans about their education level and their beliefs about the theory of evolution. The survey results are displayed in the provided two-way table.

-What proportion of respondents have a college degree? Round your answer to three decimal places.

Answer 3

0.224

Question 4

Use the following
February 12, 2009 marked the 200^th anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization, surveyed 1,018 Americans about their education level and their beliefs about the theory of evolution. The survey results are displayed in the provided two-way table.

-What proportion of respondents have no opinion on the theory of evolution? Round your answer to two decimal places.

Question 5

Use the following
February 12, 2009 marked the 200^th anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization, surveyed 1,018 Americans about their education level and their beliefs about the theory of evolution. The survey results are displayed in the provided two-way table.

-What proportion of non-believers have a high school education or less? Use four decimal places in your answer.

Question 6

Use the following
February 12, 2009 marked the 200^th anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization, surveyed 1,018 Americans about their education level and their beliefs about the theory of evolution. The survey results are displayed in the provided two-way table.

-What proportion of college graduates believe in the theory of evolution? Use four decimal places in your answer.

Question 7

Use the following
February 12, 2009 marked the 200^th anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization, surveyed 1,018 Americans about their education level and their beliefs about the theory of evolution. The survey results are displayed in the provided two-way table.

-Find the proportion of respondents who believe in evolution for each education level (round each to three decimal places). Does there seem to be an association between education level and belief in evolution? If so, in what direction?

Question 8

Use the following
February 12, 2009 marked the 200^th anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization, surveyed 1,018 Americans about their education level and their beliefs about the theory of evolution. The survey results are displayed in the provided two-way table.

-The survey results are displayed in the segmented bar chart. Does there appear to be an association between education level and belief in the theory of evolution? If so, what does it mean about these two variables?

Question 9

Use the following
A Fun-Size bag of M&M's contains 5 green, 3 red, 3 yellow, 4 orange, 4 blue, and 2 brown candies.
-What proportion of the M&M's are green? Use four decimal places in your answer.

Question 10

Use the following
A Fun-Size bag of M&M's contains 5 green, 3 red, 3 yellow, 4 orange, 4 blue, and 2 brown candies.
-What proportion of the candies are yellow or orange? Use four decimal places in your answer.

Question 11

Use the following
A Fun-Size bag of M&M's contains 5 green, 3 red, 3 yellow, 4 orange, 4 blue, and 2 brown candies.
-Sketch a bar chart of the data.

Question 12

Use the following
A Fun-Size bag of M&M's contains 5 green, 3 red, 3 yellow, 4 orange, 4 blue, and 2 brown candies.
-Construct a relative frequency table of the results. Use two decimal places in your relative frequencies.

Question 13

Use the following
In a survey conducted by the Gallup organization September 6-9, 2012, 1,017 adults were asked "In general, how much trust and confidence do you have in the mass media - such as newspapers, TV, and radio - when it comes to reporting the news fully, accurately, and fairly?"
81 said that they had a "great deal"
of confidence, 325 said they had a "fair amount"
of confidence, 397 said they had "not very much"
confidence, and 214 said they had "no confidence at all".
-Display the results in a frequency table.

Question 14

Use the following
In a survey conducted by the Gallup organization September 6-9, 2012, 1,017 adults were asked "In general, how much trust and confidence do you have in the mass media - such as newspapers, TV, and radio - when it comes to reporting the news fully, accurately, and fairly?"
81 said that they had a "great deal"
of confidence, 325 said they had a "fair amount"
of confidence, 397 said they had "not very much"
confidence, and 214 said they had "no confidence at all".
-Sketch a bar chart of the data.

Question 15

Use the following
In a survey conducted by the Gallup organization September 6-9, 2012, 1,017 adults were asked "In general, how much trust and confidence do you have in the mass media - such as newspapers, TV, and radio - when it comes to reporting the news fully, accurately, and fairly?"
81 said that they had a "great deal"
of confidence, 325 said they had a "fair amount"
of confidence, 397 said they had "not very much"
confidence, and 214 said they had "no confidence at all".
-Give a relative frequency table of the data. Use two decimal places in your relative frequencies.

Question 16

Use the following
In a survey conducted by the Gallup organization September 6-9, 2012, 1,017 adults were asked "In general, how much trust and confidence do you have in the mass media - such as newspapers, TV, and radio - when it comes to reporting the news fully, accurately, and fairly?"
81 said that they had a "great deal"
of confidence, 325 said they had a "fair amount"
of confidence, 397 said they had "not very much"
confidence, and 214 said they had "no confidence at all".
-What proportion of respondents have a fair amount of confidence in the media? Use two decimal places in your answer.

Question 17

Use the following
In a survey conducted by the Gallup organization September 6-9, 2012, 1,017 adults were asked "In general, how much trust and confidence do you have in the mass media - such as newspapers, TV, and radio - when it comes to reporting the news fully, accurately, and fairly?"
81 said that they had a "great deal"
of confidence, 325 said they had a "fair amount"
of confidence, 397 said they had "not very much"
confidence, and 214 said they had "no confidence at all".
-What proportion of respondents have a negative opinion (not very much confidence/none at all) about the mass media? Use two decimal places in your answer.

Question 18

Use the following
In a survey conducted by the Gallup organization September 6-9, 2012, 1,017 adults were asked "In general, how much trust and confidence do you have in the mass media - such as newspapers, TV, and radio - when it comes to reporting the news fully, accurately, and fairly?"
81 said that they had a "great deal"
of confidence, 325 said they had a "fair amount"
of confidence, 397 said they had "not very much"
confidence, and 214 said they had "no confidence at all".
-In the article, they discuss the association between political party and opinion about the media ("positive"
= great deal/fair amount of confidence and "negative"= not very much confidence/none at all). The results, as percentages, are displayed in the side-by-side bar charts. Describe the association between political party and opinion about the media. Use the bar chart to estimate the proportion of individuals with positive opinions about the media for each political party.

Question 19

Use the following
In a survey conducted by the Gallup organization September 6-9, 2012, 1,017 adults were asked "In general, how much trust and confidence do you have in the mass media - such as newspapers, TV, and radio - when it comes to reporting the news fully, accurately, and fairly?"
81 said that they had a "great deal"
of confidence, 325 said they had a "fair amount"
of confidence, 397 said they had "not very much"
confidence, and 214 said they had "no confidence at all".

-In the same article, they compare opinions about the media in 2012 to those in the previous election year (2008). In 2008, 60% of Democrats, 27% of Republicans, and 41% of Independents had positive opinions (great deal/fair amount of confidence) about the media. For each political party, find the difference in the proportion of positive opinions in 2008 and the proportion of positive opinions in 2012. Comment on if/how opinions have changed for the political parties over the past four years.

Question 20

Use the following
In a 2012 survey, Gallup asked a sample of U.S. adults if they would prefer to have a job outside the home, or if they would prefer to stay home to care for the family and home. Partial results for the individuals who expressed a preference, broken down by gender, are displayed in the two-way table.

-Find the number of males who would prefer to stay at home.

Question 21

Use the following
In a 2012 survey, Gallup asked a sample of U.S. adults if they would prefer to have a job outside the home, or if they would prefer to stay home to care for the family and home. Partial results for the individuals who expressed a preference, broken down by gender, are displayed in the two-way table.

-What proportion of respondents would prefer a job outside of the home? Round your answer to two decimal places.

Question 22

Use the following
In a 2012 survey, Gallup asked a sample of U.S. adults if they would prefer to have a job outside the home, or if they would prefer to stay home to care for the family and home. Partial results for the individuals who expressed a preference, broken down by gender, are displayed in the two-way table.

-Compute the difference in the proportion of men who would prefer a job outside of the home and the proportion of females who would prefer a job outside of the home. Use two decimal places in your answer.

Question 23

Students in a small statistics class were asked which was their dominant hand and if they were in a STEM (science, technology, engineering, and math) major. Their results are listed below. Use the results to construct a two-way table.

Question 24

Use the following
Use this dataset to compute each of the following summary statistics.
2 $\quad$ 26 $\quad$ 16 $\quad$ 10 $\quad$ 7 $\quad$ 20 $\quad$ 17

-Median

Question 25

Use the following
Use this dataset to compute each of the following summary statistics.
2 $\quad$ 26 $\quad$ 16 $\quad$ 10 $\quad$ 7 $\quad$ 20 $\quad$ 17

-Mean (rounded to two decimal places)

Question 26

Use the following
Use this dataset to compute each of the following summary statistics.
2 $\quad$ 26 $\quad$ 16 $\quad$ 10 $\quad$ 7 $\quad$ 20 $\quad$ 17

-Q1

Question 27

Use the following
Use this dataset to compute each of the following summary statistics.
2 $\quad$ 26 $\quad$ 16 $\quad$ 10 $\quad$ 7 $\quad$ 20 $\quad$ 17

-Q3

Question 28

Use the following
Use this dataset to compute each of the following summary statistics.
2 $\quad$ 26 $\quad$ 16 $\quad$ 10 $\quad$ 7 $\quad$ 20 $\quad$ 17

-IQR

Question 29

Use the following
Use this dataset to compute each of the following summary statistics.
2 $\quad$ 26 $\quad$ 16 $\quad$ 10 $\quad$ 7 $\quad$ 20 $\quad$ 17

-Range

Question 30

Each of the variables displayed in the histograms below has a mean of 14.5, a range of 8, and 59 observations. Rank the three variables according to their standard deviations, from the smallest to the largest.

A) A, B, C
B) B, A, C
C) C, B, A
D) A, C, B

Question 31

Use the following to answer questions :
One of the symptoms of the flu is an elevated pulse rate. Pulse rates (in beats per minute) for n = 23 patients with the flu are provided.
‪
-Give the sample mean pulse rate. Use two decimal places in your answer.

Question 32

Use the following to answer questions :
One of the symptoms of the flu is an elevated pulse rate. Pulse rates (in beats per minute) for n = 23 patients with the flu are provided.
‪
-Find the standard deviation of the pulse rates. Use two decimal places in your answer.

Question 33

Use the following to answer questions :
One of the symptoms of the flu is an elevated pulse rate. Pulse rates (in beats per minute) for n = 23 patients with the flu are provided.
?

-Give the five-number summary of these pulse rates.

Question 34

Use the following to answer questions :
One of the symptoms of the flu is an elevated pulse rate. Pulse rates (in beats per minute) for n = 23 patients with the flu are provided.
?

-Are there any outliers? If so, which data points? Clearly show your work to justify your answer.

Question 35

Use the following
The distribution of waiting times at the student health center is bell-shaped with a mean of 10 minutes and a standard deviation of 3.
-Give an interval that is likely to contain about 95% of wait times.

Question 36

Use the following
The distribution of waiting times at the student health center is bell-shaped with a mean of 10 minutes and a standard deviation of 3.
-Find and interpret the z-score of someone who waits 5 minutes. Round your z-score to two decimal places. Be sure to specifically indicate if a wait time of 5 minutes is unusual.

Question 37

Use the following
Identify which graphical display might be appropriate in each case.
The graphs you may choose from are:

-Investigate the number of Facebook friends students in your class have.

Question 38

Use the following
Identify which graphical display might be appropriate in each case.
The graphs you may choose from are:

-Compare the number of points scored for all games played in a season for all football teams in the Big 10 conference.

Question 39

Use the following
Identify which graphical display might be appropriate in each case.
The graphs you may choose from are:

-Investigate the relationship between pulse rate (in beats per minute) and systolic blood pressure (the top number in a blood pressure reading, measured in mm Hg = millimeters of mercury) for patients at the student health center.

Question 40

Use the following
Identify which graphical display might be appropriate in each case.
The graphs you may choose from are:

-Investigate the favorite type of music (country, rock, classical, etc) for the students in your class.

Question 41

Use the following
Identify which graphical display might be appropriate in each case.
The graphs you may choose from are:

-Compare the percentage of people in favor of Barack Obama and Mitt Romney in the 2012 Presidential election for the different regions in the U.S. (Northeast, Southeast, Midwest, West).

Question 42

Use the following
Identify which graphical display might be appropriate in each case.
The graphs you may choose from are:

-Investigate the relationship between the length of the right foot (in cm) and the length of the right forearm (in cm) for students in your class.

Question 43

Use the following
Identify which graphical display might be appropriate in each case.
The graphs you may choose from are:

-Investigate the length of songs on your iPod.

Question 44

Use the following
Identify which graphical display might be appropriate in each case.
The graphs you may choose from are:

-Investigate the number of text messages sent yesterday by students in your class.

Question 45

Use the following
Identify which graphical display might be appropriate in each case.
The graphs you may choose from are:

-Investigate the relationship between gender and left/right handedness for students in the class.

Question 46

Use the following
Identify which graphical display might be appropriate in each case.
The graphs you may choose from are:

-Investigate the relationship between the number of hours of exercise per week and athlete or not for a sample of students at a small university.

Question 47

Use the following
Match the five-number summary to the appropriate boxplot.

-__________ 15, 19, 20, 25, 28

Question 48

Use the following
Match the five-number summary to the appropriate boxplot.

-__________ 1, 3, 4, 6, 8

Question 49

Use the following
Match the five-number summary to the appropriate boxplot.

-__________ 3, 10, 12, 13, 19

Question 50

Use the following
Match the five-number summary to the appropriate boxplot.

-__________ 5, 8, 9, 11, 14

Question 51

If a distribution is heavily skewed to the left, which relationship between the mean and median is most likely?

A) Mean < Median
B) Mean Median
C) Mean > Median

Question 52

If a distribution is roughly symmetric, which relationship between the mean and median is likely true?

A) Mean < Median
B) Mean Median

C) Mean > Median

Question 53

If a distribution is heavily skewed to the right, which relationship between the mean and median is likely true?

A) Mean < Median
B) Mean Median
C) Mean > Median

Question 54

Use the following
Use this dataset to calculate the following summary statistics. Report each with one decimal place.

-Median

Question 55

Use the following
Use this dataset to calculate the following summary statistics. Report each with one decimal place.

-Mean

Question 56

Use the following
Scores on an exam (out of 100 points) given in a large introductory statistics course are displayed in the provided histogram.


-Which best describes the shape of the distribution of exam scores?

A) Approximately symmetric
B) Skewed to the left
C) Skewed to the right

Question 57

Use the following
Scores on an exam (out of 100 points) given in a large introductory statistics course are displayed in the provided histogram.


-Based on the histogram, which value is likely the mean exam score?

A) 82
B) 88
C) 76
D) 92

Question 58

Use the following
Scores on an exam (out of 100 points) given in a large introductory statistics course are displayed in the provided histogram.


-Based on the histogram of exam scores, which value is likely the median exam score?

A) 92
B) 88
C) 82
D) 72

Question 59

Use the following
Scores on an exam (out of 100 points) given in a large introductory statistics course are displayed in the provided histogram.


-Based on the histogram, the standard deviation of the exam scores is likely closest to which of these values?

A) 0.5
B) 10
C) 5
D) 1

Question 60

Use the following
The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university.
‪
-How many students are included in the sample?

Question 61

Use the following
The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university.
?

-Based on the mean and median financial aid amounts displayed in the summary, which of the following most likely describes the shape of the distribution of financial aid amounts?

A) Slightly skewed to the left
B) Roughly symmetric
C) Slightly skewed to the right

Question 62

Use the following
The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university.
‪
-Based on the output, give an interval that is certain to contain the 15th percentile of the distribution of financial aid amounts.

Question 63

Use the following
The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university.
‪
-Based on the output, give an interval that is certain to contain the 60th percentile of the distribution of financial aid amounts.

Question 64

Use the following
The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university.
‪
-What is the range of financial aid amounts?

Question 65

Use the following
The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university.
‪
-What is the IQR of financial aid amounts?

Question 66

Use the following
The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university.
‪
-Is the largest financial aid amount an outlier? Show your work to justify your answer.

Question 67

Use the following
The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university.
‪
-Find and interpret the z-score for the smallest financial aid amount.

Question 68

Use the following
Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table.

-What is the explanatory (X) variable?

Question 69

Use the following
Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table.

-What is the response (Y) variable?

Question 70

Use the following
Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table.

-Find the correlation between the number of students accepted and enrolled. Use two decimal places in your answer.

Question 71

Use the following
Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table.

-Find the least squares regression line for predicting the number enrolled from the number accepted.

Question 72

Use the following
Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table.

-Interpret the intercept of the line in context. Does the interpretation make sense?

Question 73

Use the following
Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table.

-Suppose Admissions has announced that 2,575 students have been accepted this year. Use your regression equation to predict the number of students that will enroll.

Question 74

Use the following
Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.


-From the boxplot you can identify how many students are in the class.

Question 75

Use the following
Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.

-Use the boxplot to estimate the median number of scars that students in the class have on their dominant hand.

Question 76

Use the following
Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.


-The distribution of the number of scars would be classified as

A) skewed to the left.
B) roughly symmetric.
C) skewed to the right.

Question 77

Use the following
Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.

-Calculate the IQR for the distribution of the number of scars students have.

Question 78

Use the following
Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.


-Which answer best describes the following conclusion? "There are no students with 7 scars on their dominant hand."

A) True
B) False
C) Cannot be determined

Question 79

Use the following
Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.


-Which answer best describes the following conclusion? "There are no students with 2 scars on their dominant hand."

A) True
B) False
C) Cannot be determined

Question 80

Use the following
Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.


-The mean can be determined exactly from the boxplot.