Chapter 2 Overview
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Classify as categorical or qualitative data.
1) A survey of autos parked in student and staff lots at a large college recorded the make, country of origin, type of vehicle (car, SUV, etc.) and age. Classify the make.
B) Categorical
1) _______
A) Quantitative
Classify the data as either discrete or continuous.
2) _______ 2) An athlete runs 100 meters in 10.5 seconds.
A) Discrete B) Continuous
3) The total number of calls a technical support professional takes in a month is 832
>
A) Continuous B) Discrete
4) The following table shows the heights of the five tallest mountains in North America.
3) _______
4) _______
McKinley 20,320
Logan
Citlaltepec
19,850
18,700
St. Elias 18,008
Popocatepetl 17,930
1
2
3
4
5
What kind of data is given in the third column of the table?
A) Continuous B) Discrete
5) The following table shows the heights of the five tallest mountains in North America. 5) _______
McKinley
Logan
Citlaltepec
St. Elias
20,320
19,850
18,700
18,008
1
2
3
4
Popocatepetl 17,930 5
What kind of data is given in the second column of the table?
A) Discrete B) Continuous
Select the most appropriate answer.
6) Which of the following variables is continuous?
A) number of homeruns in a professional baseball player's career
B) daily high temperature in New York City
C) brand of tennis shoe
D) type of fish caught
E) number of pars in a round of golf
6) _______

Classify as categorical or qualitative data.
7) The amount of television viewed by today's youth is of primary concern to Parents Against
Watching Television (PAWT). 290 parents of elementary school
aged children were asked to estimate the number of hours per week that their child watched television.
A) Categorical B) Quantitative
Provide an appropriate response.
8) The heights (in inches) of 30 adult males are listed below. A frequency distribution show the frequency and relative frequency using five classes.
7) _______
8) _______
What is the variable?
A) Number of adult males
B) Frequency
C) Number of classes
D) Height
E) Relative frequency
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 answer the question. The blood pressure readings were given to the nearest whole number.
9) Approximately what percentage of the people aged 25
-
40 had a systolic blood pressure reading between 110 and 119 inclusive?
9) _______

A) 30% B) 15%
Provide an appropriate response.
C) 3.5% D) 35% E) 0.35%
10) A survey was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100
(extremely good quality). The stem
and
leaf display of the data is shown below.
10) ______
What percentage of the respondents rated overall television quality as very good (regarded as ratings of 80 and above)?
A) 12% B) 32% C) 1% D) 3% E) 4%
A graphical display of a data set is given. Identify the overall shape of the distribution as (roughly) bell
shaped,right skewed, left skewed, bimodal, multimodal, uniform.
11) A relative frequency histogram for the heights of a sample of adult women is shown below. 11) ______
A) Bell
shaped
B) Bimodal
C) Left skewed
D) Right skewed
E) Multimodal
Select the most appropriate answer.
12) A distribution that shows an overall pattern with a single mound is called
A) bimodal.
B) unimodal.
C) nonmodal.
D) multimodal.
E) None of the above.
12) ______

Provide an appropriate response.
13) The 1995 payroll amounts for all major
league baseball teams are shown below. Answer the following question concerning this graph.
13) ______
How many of the major
league payrolls exceeded $20 million in 1995? (Assume that no payroll was exactly $20 million in 1995.)
A) 24 payrolls
B) 3 payrolls
C) 14 payrolls
D) 23 payrolls
E) 10 payrolls
14) At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 98 miles per hour. Suppose that the statistician indicated that the serve speed distribution was skewed to the left. Which of the following values is most likely the value of the median serve speed?
A) 83 mph B) 103 mph C) 88 mph D) 93 mph E) 98 mph
15) Frank's Furniture employees earned the following amounts last week:
$375.51 $339.04 $180.97 $421.73 $516.56
$370.13 $466.92 $165.25 $457.10
What was the mean amount earned by an employee last week? Round your answer to the nearest cent.
A) $359.25 B) $365.91 C) $470.46 D) $411.65 E) $370.13
Find the median for the given sample data.
16) Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of senior citizens whose net worth is too high to qualify for Medicaid but who have no private health insurance. The ages of 25 uninsured senior citizens were as follows:
14) ______
15) ______
Fin d the me dia n of the observa tions.

16) ______
A) 69 B) 68 C) 73 D) 72.5 E) 72
17) The number of vehicles passing through a bank drive
up line during each 15
minute period was recorded. The results are shown below. Find the median number of vehicles going through the line in a fifteen
minute period.
17) ______
A) 30 B) 29.85 C) 33 D) 34 E) 31
Provide an appropriate response.
18) Brandon kept track of the number of hours he spent exercising each week. The results for four months are shown below. Find the mean number of hours Brandon spent exercising per week.
Round your answer to two decimal places.
18) ______
A) 7.30 B) 8.25 C) 7.79 D) 8.01 E) 7.38
19) In 1990, U.S. consumers redeemed 6.12 billion manufacturers' coupons and saved themselves
$2.86 billion. Calculate and interpret the mean savings of U.S. consumers per coupon.
A) Half of all U.S. consumers who used coupons saved more than 214.0 cents per coupon.
B) The average savings of all U.S. consumers was $0.47 per coupon.
C) Half of all U.S. consumers who used coupons saved more than $0.47 per coupon.
D) The average savings of all U.S. consumers was $47 per coupon.
E) The average savings of all U.S. consumers was 214.0 cents per coupon.
20)
19) ______
20) ______
For the distribution drawn here, identify the mean, median, and mode.
A) A
=
median, B
=
mean, C
=
mode
B) A
=
mean, B
=
mode, C
=
median
C) A
=
median, B
=
mode, C
=
mean
D) A
=
mode, B
=
mean, C
=
median
E) A
=
mode, B
=
median, C
=
mean

21) 21) ______
The professor of economics at a small Texas University wanted to determine what year in school students were taking his tough economics course. Shown above is a pie chart of the results.
What percentage of the class took the course prior to reaching their senior year?
E) 44% A) 86% B) 14% C) 30% D) 54%
Select the most appropriate answer.
22) A distribution that shows an overall pattern with two mounds is called
A) ultramodal.
B) bimodal.
C) unimodal.
D) nonmodal.
E) None of the above.
23) A distribution that has a left tail longer that the right tail is considered
A) not skewed.
B) skewed right.
C) skewed left.
D) skewed centrally.
E) None of the above.
24) A distribution that has the right tail longer that the left tail is considered
A) not skewed.
B) skewed right.
C) skewed left.
D) skewed centrally.
E) None of the above.
22) ______
23) ______
24) ______

A graphical display of a data set is given. Identify the overall shape of the distribution as (roughly) bell
shaped,right skewed, left skewed, bimodal, multimodal, uniform.
25) ______ 25) A die was rolled 200 times and a record was kept of the numbers obtained. The results are shown in the relative frequency histogram below.
E) Bimodal
26) The ages of a group of patients being treated at one hospital for osteoporosis are summarized in the frequency histogram below.
A) Uniform
B) Right skewed
C) Left skewed
D) Unimodal
26) ______
A) Bimodal
B) Right skewed
C) Multimodal
D) Left skewed
E) Bell
shaped

27) A stem
and
leaf diagram is given below for the ages of the patients at a hospital. 27) ______
A) Multimodal
B) Left skewed
C) Bimodal
D) Right skewed
E) Bell shaped
Find the original data from the stem
and
leaf plot.
28)
A) 81, 85, 81, 98, 108, 105
B) 85, 88, 91, 98, 105, 105
C) 85, 81, 88, 91, 101, 105
D) 85, 88, 91, 91, 105, 105
E) 81, 88, 81, 98, 105, 105
28) ______

Use the data to create a stem
and
leaf plot
29) The following data show the number of laps run by each participant in a marathon.
46 65 55 43 51 48 57 30 43 49 32 56
A)
B)
C)
29) ______
D)
E)
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 answer the question. The blood pressure readings were given to the nearest whole number.
30) Approximately what percentage of the people aged 25
-
40 had a systolic blood pressure reading less than 120?
A) 35% B) 5% C) 15% D) 50% E) 3.5%
30) ______

31) Given that 200 people were aged between 25 and 40, approximately how many had a systolic blood pressure reading less than 130?
A) 148 B) 74
Provide an appropriate response.
C) 15 D) 51
32) Last year, batting averages in the National League averaged ..257 with a high of
E) 48
and a low of (minimum 250 at bats). Based on this information, which measure of variation could be calculated?
A) standard deviation
B) range
C) mean
D) mode
E) variance
33) The book cost (in dollars) for one semester's books are given below for a sample of five college students. Calculate the sample variance of the book costs.
340, 170, 145, 420, 120
A) 17,680.00 B) 876.40 C) 160,482.50 D) 89,021.50 E) 136.250
34) The average IQ of students in a particular calculus class is 110, with a standard deviation of 5.
The distribution is roughly bell
shaped. Use the Empirical Rule to find the percentage of students with an IQ above 120.
A) 13.5% B) 15.85% C) 11.15% D) 6.4% E) 2.5%
Determine the quartile, percentile or interquartile range as specified.
.
31) ______
32) ______
33) ______
34) ______
35) ______
A) 57.0 B) 53.4 C) 54.0
Identify potential outliers, if any, for the given data.
36) The test scores of 15 students are listed below.
D) 58.5 E) 55.5
36) ______
A) 90, 99 B) None C) 36, 40 D) 36, 99 E) 36

Find the five
number summary for the given data.
37) The weekly salaries (in dollars) of sixteen government workers.
A) 460, 544, 639, 718.5, 826 dollars
B) 460, 551, 639, 709, 826 dollars
C) 460, 537, 634, 690, 826 dollars
D) 460, 551, 634, 709, 826 dollars
E) 460, 544, 634, 715.5, 826 dollars
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Fill in the blank.
38) The five
number summary of a dataset is the ____________________,
____________________, ____________________, ____________________, and
____________________.
37) ______

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Construct a boxplot as specified.
39) ______ 39) The weekly salaries (in dollars) of 24 randomly selected employees of a company are shown below. Construct a boxplot for the data set. What is the shape of the distribution?
310 320 450 460 470 500 520 540
580 600 650 700 710 840 870 900
1000 1200 1250 1300 1400 1720 2500 3700
A)
Skewed
right
B)
Skewed
right
C)
Skewed
left
D)
Skewed
left
E)
Bell
shaped

Provide an appropriate response.
40) Test scores for a history class had a mean of 79 with a standard deviation of 4.5. Test scores for a physics class had a mean of 69 with a standard deviation of 3.7. Suppose a student gets a 68 on the history test and a 87 on the physics test. Calculate the z
score for each test. On which test did the student perform better?
A) history;
-
2.44
B) physics;
-
2.44
C) history; 2.44
D) physics; 4.86
E) history; 4.86
Select the most appropriate answer.
41) In human engineering and product design, it is important to consider the weights of people so that airplanes or elevators aren't overloaded. Based on data from the National Health Survey, the weight for adult males in the U.S. follows a bell
shaped distribution with a mean weight of
173 pounds and a standard deviation of 30 pounds. What proportion of these weights is between 203 pounds and 263 pounds?
A) 0.1600 B) 0.3170 C) 0.4985 D) 0.1585 E) 0.6800
42) Which of the following numerical summary measures cannot be easily approximated from a box plot?
A) median
B) variance
C) Q1
D) range
E) interquartile range
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
43) The article "Tobacco and Alcohol Use in G
-
Rated Children's Animated Films" investigated exposure to tobacco and alcohol use in all G
rated animated films released between 1937 and 1997 by five major film studios. Data on the total tobacco exposure time (in seconds) for films with tobacco use produced by Walt Disney, Inc., follow.
223 176 548 37 158 51 299 37 11
165 74 9 2 6 23 206 9
Source: Journal of the American Medical Association (1999): 1131
-
1136.
Find the Five
-
Number Summary of Positions.
40) ______
41) ______
42) ______

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine the quartile, percentile or interquartile range as specified.
44) The test scores of 19 students are listed below. Find the interquartile range. 44) ______
A) 25.5 B) 27 C) 29 D) 29.5 E) 28.5
45) A teacher gives a 20
point quiz to 10 students. The scores are listed below. What percentile corresponds to the score of 12?
A) 12 B) 13
Select the most appropriate answer.
46) One
fourth of the dataset lies
A) above Q1.
B) below Q3.
C) between Q1 and Q3.
D) above Q2.
C) 38 D) 40 E) 25
E) above Q3.
47) The median is equivalent to which quartile?
A) Q1
B) Q3
C) Q2
D) Q4
E) None of the above.
48) What percent of the data falls below Q1?
A) 50% B) 33% C) 75%
49) What percent of the data falls above Q2?
A) 50% B) 75% C) 25%
D) 25%
D) 10%
E) 10%
E) 90%
50) Which of the following numerical summary measures is not sensitive to outliers in a dataset?
A) mean
B) range
C) mode
D) standard deviation
E) interquartile range
45) ______
46) ______
47) ______
48) ______
49) ______
50) ______

Provide an appropriate response.
51) A competency test has scores with a mean of 69 and a standard deviation of 4. A histogram of the data shows that the distribution is normal. Use the Empirical Rule to find the percentage of scores between 61 and 77.
A) 68% B) 95% C) 99.7% D) 77% E) 50%
52) SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90.
Use the Empirical Rule to determine what percent of the scores lie between 433 and 523.
A) 47.5% B) 49.9% C) 68% D) 34% E) 51%
53) The heights (in inches) of 10 adult males are listed below. Find the population variance.
A) 4.4 B) 1.68 C) 3.24 D) 1.42 E) 2.01
54) The heights (in inches) of 10 adult males are listed below. Find the population standard deviation.
A) 3.324 B) 2.01 C) 1.42 D) 0.88 E) 4.4
55) In a random sample, 10 students were asked to compute the distance they travel one way to school to the nearest tenth of a mile. The data is listed below. Compute the sample standard deviation of the data.
A) 2.01 B) 3.324 C) 1.42 D) 1.8
56) For the stem
and
leaf plot below, find the range of the data set.
4 5
6 6 6 7 8 9
7 7 7 8 8 9 9 9
0 1 1 2 3 4 4 5
6 6 6 7 8 8 9
0 0
A) 26 B) 36 C) 14 D) 34
E) 0.79
E) 40
51) ______
52) ______
53) ______
54) ______
55) ______
56) ______

1) B
2) B
3) B
4) B
5) B
6) B
7) B
8) D
9) D
10) E
11) A
12) B
13) D
14) B
15) B
16) E
17) A
18) C
19) B
20) E
21) A
22) B
23) C
24) B
25) A
26) D

27) B
28) B
29) B
30) D
31) A
32) B
33) A
34) E
35) D
36) C
37) B
38) minimum value; Q1; median; Q3; maximum value
39) B
40) D
41) D
42) B
43) minimum
=
2 seconds, Q1
=
11 seconds, median
=
51 seconds, Q3
=
176 seconds, and maximum
=
548 seconds
44) B
45) D
46) E
47) C
48) D
49) A
50) E
51) B
52) D

53) E
54) C
55) D
56) A