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Test Bank for Elementary Statistics 9th
0321989392
9780321989390
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Classify the data as either qualitative or quantitative.
1) For the year 2006 , a large record company reported the following sales figures for various music media. 1)
Media Sales ($ millions)
What kind of data is provided by the information in the first column?
A) Qualitative B) Quantitative
2) A large record company reported the following sales figures for various music media last year. 2)
Media Sales ($ millions)
What kind of data is provided by the information in the second column?
A) Qualitative B) Quantitative
3) The following table gives the top five movies at the box office this week.
What kind of data is provided by the information in the first column?
A) Qualitative
B) Quantitative
4) The following table gives the top five movies at the box office this week.
What kind of data is provided by the information in the second column?
5) The following table gives the top five movies at the box office this week.
What kind of data is provided by the information in the third column?
6) The following table gives the top five movies at the box office this week.
What kind of data is provided by the information in the fourth column?
7) The following table gives the top five movies at the box office this week.
What kind of data is provided by the information in the fifth column?
8) The following table shows the average weight of offensive linemen for each given football team. 8)
Team Average weight (pounds)
Gators 303.52
Lakers 326.78
Eagles 290.61
Pioneers 321.96
Lions 297.35
Mustangs 302.49
Rams 345.88
Buffalos 329.24
What kind of data is provided by the information in the first column?
A) Qualitative B) Quantitative
9) The following table shows the average weight of offensive linemen for each given football team. 9)
Team Average weight (pounds)
Gators 303.52
Lakers 326.78
Eagles 290.61
Pioneers 321.96
Lions 297.35
Mustangs 302.49
Rams 345.88
Buffalos 329.24
What kind of data is provided by the information in the second column?
A) Qualitative B) Quantitative
Classify the data as either discrete or continuous.
10) The number of freshmen entering college in a certain year is 621.
A) Discrete B) Continuous 10) 11) The average height of all freshmen entering college in a certain year is 68.4 inches.
A) Discrete B) Continuous 11) 12) An athlete runs 100 meters in 10.7 seconds.
A) Discrete B) Continuous
13) The number of cars passing a busy intersection between 4:30 P.M. and 6:30 P.M. on a Monday is 2,200.
A) Discrete B) Continuous
13) 14) The average speed of cars passing a busy intersection between 4:30 P.M. and 6:30 P.M. on a Friday is 32.3 mi/h.
A) Discrete B) Continuous
15) The total number of phone calls a sales representative makes in a month is 425.
16) The temperature in Manhattan at 1 p.m. on New Year's Day was 34.1°F.
A) Discrete B) Continuous 16)
17) What type of data is provided by the statement "Helen finished in 7th place in the ice dancing competition"?
A) Discrete B) Continuous
17)
18) The following table shows the heights of the five tallest mountains in North America. 18) Mountain Height (ft) Rank
20,320 1
2
3
4
17,930 5
What kind of data is given in the third column of the table?
A) Discrete B) Continuous
19) The following table shows the heights of the five tallest mountains in North America. 19) Mountain Height (ft) Rank
20,320 1
19,850 2
3
4
17,930 5
What kind of data is given in the second column of the table?
A) Discrete B) Continuous
Identify the variable.
20) For the year 2006 , a large record company reported the following sales figures for various music media. 20)
($ millions)
Identify the variable under consideration in the first column?
A) media type B) 1477.3
C) sales
D) CD
21) A large record company reported the following sales figures for various music media last year. 21)
Media Sales ($ millions) CD 1477.3
Identify the variable under consideration in the second column?
22) The following table gives the top five movies at the box office this week. 22)
Identify the variable under consideration in the first column?
23) The following table gives the top five movies at the box office this week.
Identify the variable under consideration in the second column?
The following table gives the top five movies at the box office this week.
5
Identify the variable under consideration in the third column?
The following table gives the top five movies at the box office this week.
Identify the variable under consideration in the fourth column?
Identify the variable under consideration in the fifth column?
Identify the variable under consideration in the first column?
28) The following table shows the average weight of offensive linemen for each given football team.
Team Average weight (pounds)
Gators 303.52
Lakers 326.78
Eagles 290.61
Pioneers 321.96
Lions 297.35
Mustangs 302.49
Rams 345.88
Buffalos 329.24 average weight of offensive linemen
Identify the variable under consideration in the second column?
Tell whether the statement is true or false. 29) A discrete variable always yields numerical values.
30) The possible values of a discrete variable always form a finite set.
31) A variable whose values are observed by counting something must be a discrete variable.
32) The set of possible values that a variable can take constitutes the data.
33) A discrete variable can only yield whole- number values.
34) A variable whose possible values are 1.15, 1.20, 1.25, 1.30, 1.35, 1.40, 1.45, 1.50, 1.55, 1.60, is a continuous variable.
35) A variable which can take any real- number value in the interval [ 0, 1 ] is a continuous variable.
36) A person's blood type can be classified as A, B, AB, or O. In this example, "blood type" is the variable while A, B, AB, O constitute the data.
37) Arranging the age of students in a class in from youngest to oldest yields ordinal data.
Construct a frequency distribution for the given qualitative data.
38) The table shows the country represented by the winner of the 10,000 meter run in the Summer Olympic Games in various years.
Year Country 1912 Finland
1920 Finland
1924 Finland
1928 Finland
1932 Poland
1936 Finland
1948 Czechoslovakia
1952 Czechoslovakia
1956 USSR
1960 USSR
1964 United States
1968 Kenya
1972 Finland
1976 Finland
1980 Ethiopia 1984 Italy 1988 Morocco
Morocco
39) The blood types for 40 people who agreed to participate in a medical study were as follows.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response.
40) Scott Tarnowski owns a pet grooming shop. His prices for grooming dogs are based on the size of the dog. His records from last year are summarized below. Construct a relative frequency distribution.
41) The results of a survey about a recent judicial appointment are given in the table below. Construct a relative frequency distribution.
42) The preschool children at Elmwood Elementary School were asked to name their favorite color. The results are listed below. Construct a frequency distribution and a relative frequency distribution.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
43) The data in the following table show the results of a survey of college students asking which vacation destination they would choose given the eight choices shown. Determine the value that should be entered in the relative frequency column for Florida.
Construct a pie chart representing the given data set.
45) 600 movie critics rated a movie. The following data give the rating distribution.
46) The following figures give the distribution of land (in acres) for a county containing 73,000 acres.
47) The data below represent the results of a poll in which the the following question was asked: "To what degree are you satisfied with the outcome of the 2006 mayoral election?"
Very 17%
Somewhat 22%
Not at All 39%
No opinion 22%
48) The data below represent the results of a poll in which the following question was asked: "To what degree are you satisfied with your current health insurance?"
Very 13%
Somewhat 30%
Not at All 35%
No opinion 22%
Construct the requested graph.
49) The table lists the winners of the State Tennis Tournament women's singles title for the years 1986- 2005. Construct a bar graph for the given relative frequencies.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response.
51) Explain the difference between a frequency distribution and a relative frequency distribution. Comment on the differences on the vertical axis scale. Given the same data set and the same classes, will the shapes of the frequency distribution and the relative frequency distribution be the same? You may draw a diagram to support your answer.
52) Suppose that you want to construct a pie chart to represent the following data. 52)
Explain how you would calculate the angle for the pie- shaped piece corresponding to the blood type O.
53) Explain in your own words the difference between a bar graph and a histogram. Give an example of data for which you might use a histogram and an example of data for which you might use a bar graph.
54) Suppose that you want to construct a graph to represent the following data.
If you are mostly interested in the number of people in each category as a percentage of the total number of people, would a bar chart or a pie chart be more useful? Explain your thinking.
55) Shortly before a mayoral election, a market research firm took a poll to find out which candidate people were planning to vote for. The results are shown below.
You wish to construct a graph to represent the data. It should be easy to see from your graph which candidate is in the lead. Which graph would be more useful, a bar graph or a pie chart? Explain your thinking.
56) Shortly before an election, a market research firm took a poll to find out whether people were planning to vote for or against a particular ballot measure. The results are shown below.
The ballot measure will pass if a simple majority (more than 50%) vote in favor of the measure. You wish to construct a graph to represent the data. It should be easy to see from your graph whether more than 50% of the people are planning to vote in favor of the measure. Which graph would be more useful, a bar graph or a pie chart? Explain your thinking.
57) Suppose you are comparing frequency data for two different groups, 25 managers and 150 blue collar workers. Why would a relative frequency distribution be better than a frequency distribution?
57)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Given the following "data scenario," decide which type of grouping (single- value, limit, or cutpoint) is probably the best.
58) Number of Pets: The number of pets per family.
A) None of these
C) Limit grouping
58)
B) Single- value grouping
D) Cutpoint grouping
59) Exam Scores: The exam scores, rounded to the nearest whole number, of all students in a given math course.
A) Cutpoint grouping
C) Single-value grouping
B) Limit grouping
D) None of these
60) Wingspan of Cardinal: The wingspan lengths, to the nearest hundredth of a millimeter, of a sample of 35 cardinals.
A) Cutpoint grouping
C) Limit grouping
B) Single- value grouping
D) None of these
59)
60)
Use single- value grouping to organize these data into a frequency distribution.
61) A car insurance company conducted a survey to find out how many car accidents people had been involved in. They selected a sample of 32 adults between the ages of 30 and 70 and asked each person how many accidents they had been involved in the past ten years. The following data were obtained.
Construct a frequency distribution for the number of car accidents.
62) The following data represent the total number of years of formal education for 40 employees of a bank.
13 17 13 14 12 17 19 13 15 13
16 18 13 11 19 19 12 14 13 13
14 15 13 15 17 18 17 14 13 17
12 17 17 16 16 17 15 13 13 14
Construct a frequency distribution for the number of years of education.
63) A teacher asked each of her students how many novels they had read in the previous six months. The results are shown below.
Construct a frequency distribution for the number of novels read.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use limit grouping to organize these data into a frequency distribution.
64) A medical research team studied the ages of patients who had strokes caused by stress. Th ages of 34 patients who suffered stress strokes were as follows.
36 58
Construct a frequency distribution for these ages. Use 8 classes beginning with a lower clas limit of 25 and class width of 5.
64)
65) Kevin asked some of his friends how many hours they had worked during the previous week at their after- school jobs. The results are shown below.
65)
Construct a frequency distribution. Use 4 classes, a class width of 2 hours, and a lower limit of 3 for the first class.
66) Lori asked 24 students how many hours they had spent doing homework during the previous week. The results are shown below.
66)
67) On a math test, the scores of 24 students were 67)
Construct a frequency distribution. Use 4 classes beginning with a lower class limit of 60.
Use cutpoint grouping to organize these data into a frequency distribution.
68) A medical research team studied the ages of patients who had strokes caused by stress. Th ages of 34 patients who suffered stress strokes were as follows. 29
Construct a frequency distribution for these ages. Use 8 classes beginning with a lower clas limit of 25.
69) Kevin asked some of his friends how many hours they had worked during the previous week at their after- school jobs. The results are shown below.
69) Score Frequency
68)
70) Lori asked 24 students how many hours they had spent doing homework during the previous week. The results are shown below.
11 10 11 8 11 11 15 12 11 8 12 10 10 12 11 10 12 11 10 12 10 12 12 8
Construct a frequency distribution. Use 4 classes, a class width of 2 hours, and a lower limit of 8 for the first class.
71)
Construct a frequency distribution. Use 4 classes beginning with a lower class limit of 60.
73) A government researcher was interested in the starting salaries of humanities graduates. A random sample of 30 humanities graduates yielded the following annual salaries. Data are in thousands of dollars, rounded to the nearest hundred dollars.
Construct a frequency distribution for these annual starting salaries. Use 20 as the first cutpoint and classes of equal width 4.
74) The table shows the closing share price, in dollars, for each of the 32 stock holdings of a mutual fund.
Construct a frequency distribution for these share prices. Use 10 as the first cutpoint and classes equal width
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide the requested table entry.
75) The data in the following table reflect the amount of time 40 students in a section of Statistics 101 spend on homework each day. Determine the value that should be entered in the relative frequency column for the class 15- 29.
76) The data in the following table reflect the amount of time 40 students in a section of Statistics 101 spend on homework each day. Find the value of the missing entry.
D) The value cannot be determined from the given data.
77) The data in the following table represent heights of students at a highschool. Find the value of the missing entry. 77)
D) The value cannot be determined from the given data.
78) The data in the following table represent heights of students at a highschool. Find the value of the missing entry.
D) The value cannot be determined from the given data.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Construct the requested histogram.
79) The table gives the frequency distribution for the data involving the number of television sets per household for a sample of 100 U.S. households. 79)
80) The table gives the frequency distribution for the data involving the number of television sets per household for a sample of 100 U.S. households.
81) The table gives the frequency distribution for the data involving the number of radios per household for a sample of 80 U.S. households.
82) The table gives the frequency distribution for the data involving the number of radios per household for a sample of 80 U.S. households.
83) The table below shows the number of days off in a given year for 30 police detectives. 83)
84) The table below shows the number of days off in a given year for 30 police detectives.
Construct a relative- frequency histogram.
85) In a survey, 20 voters were asked their age. The results are summarized in the table below. Construct a frequency histogram corresponding to data below.
86) During the quality control process at a manufacturing plant, 142 finished items are randomly selected and weighed. The results are summarized in the table below. Construct a relative- frequency histogram corresponding to data below.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Construct a dotplot for the given data.
87) Attendance records at a school show the number of days each student was absent during the year. The days absent for each student were as follows.
88) A manufacturer records the number of errors each work station makes during the week. The data are as follows.
89) A store manager counts the number of customers who make a purchase in his store each day. The data are as follows.
90) The following data represent the number of cars passing through a toll booth during a certain time period over a number of days.
91) The frequency chart shows the distribution of defects for the machines used to produce a product.
Construct a stem- and- leaf diagram for the given data.
92) The following data show the number of laps run by each participant in a marathon.
96) The diastolic blood pressures for a sample of patients at a clinic were as follows. The measurements are in
97) The diastolic blood pressures for a sample of patients at a clinic were as follows. The measurements are in mmHg.
Construct a stem- and- leaf diagram using two lines per stem.
98) The maximum recorded temperatures (in degrees Fahrenheit) for 35 different U.S. cities are given below.
Construct a stem- and- leaf diagram using two lines per stem.
99) The ages of the 45 members of a track and field team are listed below. Construct an ordered stem- and- leaf diagram using two lines per stem. 21
21 44 25 38 than
100) The normal monthly precipitation (in inches) for August is listed for 39 different U.S. cities. Construct an ordered stem- and- leaf diagram using two lines per stem.
101) The average weekly temperatures (in degrees Fahrenheit) in Orlando, Florida over a 6- month span are given below. Round each observation to the nearest degree and then construct a stem- and- leaf diagram of the rounded data using two lines per stem.
102) The lengths (in inches) of a random sample of bottlenose dolphins are given below. Truncate each observation by dropping the decimal part, then construct a stem- and- leaf diagram of the truncated data using two lines per stem.
A nurse measured the blood pressure of each person who visited her clinic. Following is a relative- frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. Use the histogram to answe the question. The blood pressure readings were given to the nearest whole number.
103) Approximately what percentage of the people aged 25- 40 had a systolic blood pressure reading between 110 and 119 inclusive?
104) Approximately what percentage of the people aged 25- 40 had a systolic blood pressure reading between 110 and 139 inclusive?
105) Approximately what percentage of the people aged 25- 40 had a systolic blood pressure reading greater than or equal to 130?
106) Approximately what percentage of the people aged 25- 40 had a systolic blood pressure reading is the relative frequency for males in the age group
107) Given that 300 people were aged between 25 and 40, approximately how many had a systolic blood pressure reading between 140 and 149 inclusive?
108) Given that 800 people were aged between 25 and 40, approximately how many had a systolic blood pressure reading of 140 or higher?
109) Given that 200 people were aged between 25 and 40, approximately how many had a systolic blood pressure reading between 130 and 149 inclusive?
110) Given that 700 people were aged between 25 and 40, approximately how many had a systolic blood pressure reading less than 130?
111) Identify the midpoint of the third class.
112) What common class width was used to construct the frequency distribution?
Complete the contingency table and use it to solve the problem. 113) The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a retirement home.
- 69?
114) The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a retirement home.
