Exam 2 Practice
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
1) A five-number summary for a box plot includes which of the following?
A) min, Q1, Q2, Q3, max
B) Q1, Q2, Q3, Q4, total
C) min, median, max, average, frequency total
D) Q1, Q2, Q3, Q4, average
1)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question.
Solve the problem.
2) Eleven college professors were asked to give the numbers of students in their classes.
The sample data follows: 36, 31, 30, 31, 20, 19, 24, 34, 21, 28, 24. Find the five-number
summary.
3) Find the five-number summary for the sample data: 10, 11, 13, 14, 16, 17, 19, 20, 21, 23,
2)
3)
24.
4) The box plot for the price (in cents) of a can of chicken noodle soup is shown.
(a)
(b)
(c)
(d)
(e)
4)
Approximately what percentage of the soups are priced below 30 cents?
Approximately what percentage of the soups are priced above 75 cents?
Approximately what percentage of the soups are priced below 50 cents?
Approximately what percentage of the soups are prices between 50 and 75 cents?
What is the median price of a can of chicken noodle soup?
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
5) Quartiles are measures used in constructing
A) histograms.
B) pie charts.
C) box plots.
D) frequency tables.
E) none of these
5)
6) Given the following five-number summary, find the interquartile range.
6)
29, 37, 50, 66, 94
A) 65
B) 32.5
C) 50
1
D) 29
7) Find the median of the numbers: 35 38 29 42
A) 36
B) 73
7)
C) 36.5
D) 35.5
Find the five-number summary and interquartile range for the given set of numbers, then draw the box plot.
8) 17, 22, 27, 33, 35, 37, 41, 45, 47
8)
A)
17
22
35
37 47
35
41 47
35
43 47
35
43
interquartile range = 30
B)
17
27
interquartile range = 14
C)
17
24.5
interquartile range = 35
D)
17
24.5
47
interquartile range = 18.5
9) If three distinct positive integers have an average (arithmetic mean) of 80, and if the smallest of
9)
the three integers is 60, then the largest of the three integers can be at most
A) 119
B) 100
C) 80
D) 120
E) none of these
Solve the problem.
10) To get a C in history, Nandan must average 74 on four tests. Scores on the first three tests were
67, 76, and 60. What is the lowest score that Nandan can get on the last test and still receive a
C?
A) 68
B) 69
C) 93
D) 19
2
10)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question.
11) The number of accidents per week on a certain highway was recorded over a 40-week
11)
period, and the results are summarized below.
Number of
Number of
accidents
occurrences
0
7
1
12
2
7
3
8
4
4
5
2
(a) Determine the relative frequency distribution for the number of accidents per
week.
(b) What is the highest number of accidents per week.
(c) What is the number of accidents per week with the highest frequency?
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
12) The manager of a small retail store counted the number of sales each hour during a 60-hour
week. The frequency distribution is given below.
Number of sales
Number of
during hour
occurrences
6
25
7
20
8
10
9
0
10
5
Find the relative frequency of seven sales during an hour.
A) 7
40
B) 1
4
C) 1
3
D) 7
60
E) none of these
3
12)
13) The manager of a small retail store counted the number of sales each hour during a 60-hour
13)
week. The frequency distribution is given below.
Number of sales
during hour
6
7
8
9
10
Number of
occurrences
25
20
10
0
5
Find the average number of sales during an hour.
A) 8 1
2
B) 6
C) 8
D) 7
E) none of these
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question.
14) The ages of 40 community college students were gathered. Construct a
frequency distribution for the data using five classes.
46
34
21
19
49
17
51
21
39
19
34
31
40
48
26
19
21
38
19
38
42
43
42
17
43
19
32
17
42
46
20
39
21
32
51
14)
48
17
45
19
39
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
15) Find the mean.
58 3 7 26
A) 5.5
15)
5
1
1 12
B) 2
2
6
C) 29.5
D) 12.1
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question.
16) Find the median.
20
21
22
26
16)
27
33
25
17) Find the mode.
22
16
8
14
17)
16
13
14
34
4
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
18) Find the mode.
5 8 2 8 9
A) 8
18)
3
5
8 2
B) 5.6
C) No mode
D) 5
19) Find the mean, median, mode, and midrange for the data provided. The data shows
hours spent at work for a group of men.
Name
Hours
Alvin
64.9
Juan
59.1
Sean
56.9
Victor
47.7
Chan
42.7
Jacques
41.3
Philip
35.5
Roberto
29.7
A) mean: 47.225, median: 47.3, mode: no mode, midrange: 47.3
B) mean: 45.2, median: 47.225, mode: 45.2, midrange: 35.2
C) mean: 45.2, median: 47.225, mode: 47.3, midrange: 35.2
D) mean: 47.225, median: 45.2, mode: no mode, midrange: 47.3
19)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question.
20) These data represent the grades on a college exam. Find the mean
Class limits
50-59
60-69
70-79
80-89
90-99
20)
Frequency
5
8
19
16
10
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
21) For the 20 test scores shown, find the percentile rank for a score of 86.
21)
75 63 92 74 86 50 77 82 98 65 71 89 75 66 87 59 70 83 91 73
A) 75th percentile
B) 80th percentile
C) 30th percentile
D) 70th percentile
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question.
22) For the 8 test scores shown, find the percentile rank of 68.
29
87
68
34
60
31
30
61
5
22)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
23) Twelve students took a placement exam with the following results.
88 65 98 71 72 94 41 86 45 49 59 75
What is the percentile rank of 71? Round to the nearest percentile.
A) 33rd percentile
B) 50th percentile
C) 58th percentile
D) 25th percentile
23)
24) A random sample of weights (in carats) of sapphires in a jeweler's collection is shown.
Find the mean of the sample.
24)
Class Boundaries
Frequency
0.95-2.95
10
2.95-4.95
15
4.95-6.95
10
6.95-8.95
10
8.95-10.95
9
A) 5.95
B) 5.69
C) 5.55
D) 10.80
25) The following data represent the total price, in dollars, of 20 randomly-selected
gasoline purchases at a certain convenience store.
65.11
78.90
58.35
62.13
53.36
46.36
70.22
75.27
57.31
47.79
44.17
54.39
41.53
10.11
71.76
47.10
49.11
48.23
25)
58.87
68.69
Which value in this data set is most accurately described as an extreme value?
A) $10.11
B) $68.69
C) $78.90
D) $68.79
26) The following data represent the ice cream flavor choices of 20 diners at a college
cafeteria.
Which flavor ice cream is the mode?
A) Moose Tracks
C) Chocolate Chip
B) Vanilla
D) Rocky Road
6
26)
27) Find the median of the data in the following stem-and-leaf plot. The leaf represents the
ones digit.
A) 24.6
B) 28
C) 21.2
D) 26
28) Find the mode of the data in the following stem-and-leaf plot. The leaf represents the
ones digit.
A) 14
B) 12.3
C) 13.3
B) median < mean
7
29)
C) median > mean
30) A report states that the mean household income last year for a certain rural county was
$55,300 and the median was $62,800. If a histogram were constructed for the incomes
of all households in the county, would you expect it to be skewed to the right, to the
left, or approximately symmetric?
A) skewed left
B) approximately symmetric
C) skewed right
28)
D) 13.8
29) For the data shown in the histogram, which of the following choices best describes the
relationship between the median and the mean?
A) median ≈ mean
27)
30)
31) If a distribution is negatively skewed as shown in the figure below, the mean will fall to
the right of the median and the mode will fall to the left of the median.
A) True
31)
B) False
32) In a unimodal, symmetrical distribution as shown in the figure below,
32)
A) the mean, the median, and the mode are the same.
B) the median and the mode are the same, but the mean can be different.
C) the mean is the same as the median, but the mode can be different.
D) the mean, the median, and the mode are different.
33) A weighted mean is used when the values of the data set are not all equally represented.
A) False
B) True
33)
34) The median can be a more appropriate measure of central tendency if the distribution of
the data is extremely skewed.
A) False
B) True
34)
35) A recent survey of a new diet cola reported the following percentages of people who
liked the taste. Find the weighted mean of the percentages.
35)
Area
1
2
3
A) 36
% Favored
30
25
50
Number surveyed
2500
1500
3000
B) 35
8
C) 25
D) 38
Answer Key
Testname: REVIEW FOR EXAM 2
1) A
2) 19, 21, 28, 31, 36
3) 10, 13, 17, 21, 24
4) (a) 25%
(b)
(c)
(d)
(e)
25%
50%
25%
50 cents
5) C
6) D
7) C
8) D
9) A
10) C
11) (a) No. accidents
0
1
2
3
4
5
Rel. freq
0.175
0.300
0.175
0.200
0.100
0.050
(b) 5
(c) 1
12) C
13) D
14)
Group
17-23
Tally
24-30
31-37
38-44
45-51
15) D
16) 25
17) Two modes: 16 and 14
18) A
19) D
20) 77.60
21) D
22) 75th percentile
23) B
24) B
25) A
26) B
27) D
Frequency
15
1
5
11
8
9
Answer Key
Testname: REVIEW FOR EXAM 2
28) A
29) A
30) A
31) B
32) A
33) B
34) B
35) D
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