Deck 2: Describing Data

Question 1

Use the following to answer the questions below:
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 1

0.224

Question 2

Use the following to answer the questions below:
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.

Answer 2

0.36

Question 3

Use the following to answer the questions below:
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.

Answer 3

0.4055

Question 4

Use the following to answer the questions below:
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 5

Use the following to answer the questions below:
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 6

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 7

Use the statement to answer the following questions below.

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

Question 8

Use the statement to answer the following questions below.

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

Question 9

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

Question 10

Use the statement to answer the following questions below.
-A Fun-Size bag of M&M's contains 4 green, 2 red, 4 yellow, 3 orange, 6 blue, and 1 brown candies.
Construct a relative frequency table of the results. Use two decimal places in your relative frequencies.

Question 11

Use the following to answer the questions below:
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 12

Use the following to answer the questions below:
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 13

Use the following to answer the questions below:
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 14

Use the following to answer the questions below:
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 great deal of confidence in the media? Use two decimal places in your answer.

Question 15

Use the following to answer the questions below:
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 16

Use the following to answer the questions below:
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 17

Use the following to answer the questions below:
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 18

Use the following to answer the questions below:
In a recent 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 19

Use the following to answer the questions below:
In a recent 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 to stay at home? Round your answer to two decimal places.

Question 20

Use the following to answer the questions below:
In a recent 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 21

Use the following to answer the questions below:
In a recent 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.

-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 22

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

A) Mean < Median
B) Mean $\approx$ Median
C) Mean > Median

Question 23

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

A) Mean < Median
B) Mean $\approx$ Median
C) Mean > Median

Question 24

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

A) Mean < Median
B) Mean $\approx$ Median
C) Mean > Median

Question 25

Use the dataset to calculate the following summary statistics in the questions below. Report each with one decimal place.
- Median

Question 26

Use the dataset to calculate the following summary statistics in the questions below. Report each with one decimal place.
- Mean

Question 27

Use the following to answer the questions below:
The provided histogram displays the number of Facebook friends for students in a small statistics class.


-Which of the following best describes the shape of the distribution of the number of Facebook friends?

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

Question 28

Use the following to answer the questions below:
The provided histogram displays the number of Facebook friends for students in a small statistics class.


-The mean number of Facebook friends is closest to which value?

A) 220 friends
B) 560 friends
C) 810 friends
D) 1,000 friends

Question 29

Use the following to answer the questions below:
The provided histogram displays the number of Facebook friends for students in a small statistics class.


-The median number of Facebook friends is likely closest to which value?

A) 300
B) 500
C) 700
D) 800

Question 30

Use the following to answer the questions below:
The finishing time for the top 100 men in a marathon are displayed in the provided figure.


-Which of the following best describes the distribution of times for the top 100 male finishers in the marathon?

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

Question 31

Use the following to answer the questions below:
The finishing time for the top 100 men in a marathon are displayed in the provided figure.


-The mean time for the top 100 males is closest to which value?

A) 148 minutes
B) 151 minutes
C) 140 minutes
D) 135 minutes

Question 32

Use the following to answer the questions below:
The finishing time for the top 100 men in a marathon are displayed in the provided figure.


-The median time for the top 100 males is closest to which value?

A) 156 minutes
B) 140 minutes
C) 145 minutes
D) 151 minutes

Question 33

Use the following to answer the questions below:
The midrange is another way to measure of the center of a distribution. The midrange of a dataset is defined to be the average of the minimum and maximum values in the dataset.

-Calculate the midrange of this dataset.

Question 34

Use the following to answer the questions below:
The midrange is another way to measure of the center of a distribution. The midrange of a dataset is defined to be the average of the minimum and maximum values in the dataset.

-In general, would you think that the midrange should be a resistant statistic?

Question 35

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

A) Mean
B) Median

Question 36

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

A) Interquartile Range
B) Standard Deviation

Question 37

Use the dataset to compute the following summary statistics in the questions below.
- Median

Question 38

Use the dataset to compute the following summary statistics in the questions below.
- Mean (rounded to two decimal places)

Question 39

Use the dataset to compute the following summary statistics in the questions below.
- Q1

Question 40

Use the dataset to compute the following summary statistics in the questions below.
- Q3

Question 41

Use the dataset to compute the following summary statistics in the questions below.
- IQR

Question 42

Use the dataset to compute the following summary statistics in the questions below.
- Range

Question 43

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 44

Use the following statement to answer the questions below.

-The distribution of waiting times at the student health center is bell-shaped with a mean of 13 minutes and a standard deviation of 2. Give an interval that is likely to contain about 95% of wait times.

A) 9 to 17 minutes
B) 11 to 15 minutes
C) 7 to 19 minutes
D) 9 to 13 minutes

Question 45

Use the following statement to answer the questions below.

-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 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.

A) -1.67; The wait time is not unusual.
B) 1.67; The wait time is unusual.
C) -1.67; The wait time is unusual.
D) 1.67; The wait time is not unusual.

Question 46

Use the following to answer the questions below:
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 47

Use the following to answer the questions below:
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 48

Use the following to answer the questions below:
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 49

Use the following to answer the questions below:
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 50

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


-Give the sample mean pulse rate. Use two decimal places in your answer.

A) 89.35 beats per minute
B) 90 beats per minute
C) 92.5 beats per minute
D) 89 beats per minute

Question 51

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


-Find the standard deviation of the pulse rates. Use two decimal places in your answer.

A) 7.85 beats per minute
B) 8.27 beats per minute
C) 7.33 beats per minute
D) 8.19 beats per minute

Question 52

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


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

Question 53

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

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

Question 54

Use the following to answer the questions below:
Match the five-number summary to the appropriate boxplot.


- 15, 19, 20, 25, 28

Question 55

Use the following to answer the questions below:
Match the five-number summary to the appropriate boxplot.


- 1, 3, 4, 6, 8

Question 56

Use the following to answer the questions below:
Match the five-number summary to the appropriate boxplot.


- 3, 10, 12, 13, 19

Question 57

Use the following to answer the questions below:
Match the five-number summary to the appropriate boxplot.


- 5, 8, 9, 11, 14

Question 58

Use the following to answer the questions below:
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 59

Use the following to answer the questions below:
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 60

Use the following to answer the questions below:
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 61

Use the following to answer the questions below:
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 62

Use the following to answer the questions below:
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 63

Use the following to answer the questions below:
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 64

Use the following to answer the questions below:
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?

Question 65

Use the following to answer the questions below:
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 66

Use the following to answer the questions below:
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 67

Use the following to answer the questions below:
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 68

Use the following to answer the questions below:
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 69

Use the following to answer the questions below:
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 70

Use the following to answer the questions below:
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 71

Use the following to answer the questions below:
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 72

Use the following to answer the questions below:
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.

Question 73

Use the following to answer the questions below:
The side-by-side boxplots compare the top 100 men's and women's finishing times in a marathon.


-Which group tends to finish the race faster?

A) Men
B) Women

Question 74

Use the following to answer the questions below:
The side-by-side boxplots compare the top 100 men's and women's finishing times in a marathon.


-Which group has the larger spread in its race times?

A) Men
B) Women

Question 75

Use the following to answer the questions below:
The side-by-side boxplots compare the top 100 men's and women's finishing times in a marathon.


-Does there appear to be an association between gender and race time?

Question 76

Use the following to answer the questions below:
The states located in the Midwestern region of the country typically experience a large number of tornados every year. The number of tornadoes from 2000-2011 for four Midwestern states (Kansas, Nebraska, South Dakota, and Iowa) are displayed in the side-by-side boxplots.


-Which state tends to see the most tornadoes per year?

A) Kansas
B) Nebraska
C) South Dakota
D) Iowa

Question 77

Use the following to answer the questions below:
The states located in the Midwestern region of the country typically experience a large number of tornados every year. The number of tornadoes from 2000-2011 for four Midwestern states (Kansas, Nebraska, South Dakota, and Iowa) are displayed in the side-by-side boxplots.


-Which state has the largest range?

A) Kansas
B) Nebraska
C) South Dakota
D) Iowa

Question 78

Use the following to answer the questions below:
The states located in the Midwestern region of the country typically experience a large number of tornados every year. The number of tornadoes from 2000-2011 for four Midwestern states (Kansas, Nebraska, South Dakota, and Iowa) are displayed in the side-by-side boxplots.


-Which state tends to see the fewest tornadoes per year?

A) Kansas
B) Nebraska
C) South Dakota
D) Iowa

Question 79

Use the following to answer the questions below:
The states located in the Midwestern region of the country typically experience a large number of tornados every year. The number of tornadoes from 2000-2011 for four Midwestern states (Kansas, Nebraska, South Dakota, and Iowa) are displayed in the side-by-side boxplots.


-Which state has the largest IQR?

A) Kansas
B) Nebraska
C) South Dakota
D) Iowa

Question 80

Use the following to answer the questions below:
The states located in the Midwestern region of the country typically experience a large number of tornados every year. The number of tornadoes from 2000-2011 for four Midwestern states (Kansas, Nebraska, South Dakota, and Iowa) are displayed in the side-by-side boxplots.


-Which state has an outlier?

A) Kansas
B) Nebraska
C) South Dakota
D) Iowa