Name _________________________
Cumulative Review Assignment
Date _____ Class _____
Mr. Lynch
Show all work and answers on loose-leaf!
1) Use you random number table to find 10 values between 104 and 9,874. Start at
column 8, row 18.
2) Use you random number table to find 8 values between 1,309 and 91,622. Start at
column 6, row 11.
3) A restaurant owner is developing a clientele profile. He is looking at the number of
patrons who order just an appetizer and a salad. He will look at the patrons coming into
his restaurant over a one-month period.
a) What is the population?
b) What is the sample?
4) Opera Alive sponsors three major productions a year. Ticket sales provide 42% of the
necessary funds, contributions provide 27%, and national grant money provides the rest.
a) Construct an appropriate table to display a circle graph.
b) Construct a circle graph.
5) A leading investment management firm reported the following percent returns on their
investments in the years 1989 through 1993. For 1898, 13%, for 1990, 9.1%, for 1991,
15.5%, for 1992, 10.4%, and for 1993, 16.2%.
a) Organize the data into a table.
b) Construct a time plot to display the data.
6) The scores on a recent physics midterm are as follows:
88
81
79
85
74
79
83
99
83
75
77
91
86
87
96
79
88
73
72
98
a) Construct a chart with the appropriate histogram columns.
b) Construct a frequency histogram.
c) Construct a cumulative frequency histogram.
d) Construct a relative frequency histogram.
7) The following are recent scores on an algebra final exam:
78
95
61
54
76
54
66
82
77
77
49
84
65
61
93
84
98
83
89
74
a) Construct a stem-and-leaf plot.
b) Construct a stem-and-leaf plot using multiple lines per stem.
79
73
55
52
8) Use the following values to answer the questions below:
53
98
76
58
94
73
95
73
91
57
78
a) Calculate the range, mean, median, mode, variance, standard deviation,
max, min, Q3, and Q1.
9) Use the following values to answer the question that follows:
78
52
17
58
96
75
98
65
78
63
15
61
98
65
90
65
a) Calculate a 5% trimmed mean.
b) Calculate a 10% trimmed mean.
61
98
10) Use the following values to answer the question that follows:
49
83
72
15
49
87
59
84
73
68
93
76
20
67
85
44
73
34
56
78
54
35
65
48
65
32
78
34
86
55
37
46
54
68
a) Calculate a 5% trimmed mean.
b) Calculate a 10% trimmed mean.
32
50
69
17
65
17
78
62
11) Job Finders did a study of mid-management jobs in large cities. A sample of such
jobs showed the average number of applicants (x bar) for each position to be 37 with a
standard deviation of 6.
a) Compute the CV for the number of applicants for each position.
b) Use Chebyshev's Theorem to find the range in which we can expect at
least 75% of the data to fall.
12) Home Security Systems is studying the time utilization of its sales force. A random
sample of 40 sales calls showed that the representatives spend an average (x bar) of 42
minutes on the road with a standard deviation of 5 minutes for each sales call.
a) Compute the CV for this data.
b) Use Chebyshev's Theorem to find the range in which we can expect at
least 75% of the data to fall.
13) Given the following table:
Class
f
1-5
45
6 - 10
85
11 - 15
86
16 - 20
46
a) Construct a chart which will help you find the mean standard deviation,
and variance.
b) Find the mean, standard deviation, and variance.
14) Evaluate each of the following:
a) 10P6
b) 14P8
c) 8P6
15) Evaluate each of the following:
a) 10C6
b) 14C8
c) 8C6
16) Given the following table:
x
f
d) 7P4
e) 9P5
d) 7C4
e) 9C5
66
67
68
69
104
108
108
104
a) Construct a chart which will help you find the mean standard deviation,
and variance.
b) Find the mean, standard deviation, and variance.
17) A recent course you have signed up for will grade you on the following with the
weights shown: attendance - 5%, class participation - 10%, projects - 25%, presentation 15%, test - 35%, and quizzes - 10%. You scored the following in each category:
attendance - 98, class participation - 78, projects - 62, presentation - 94, test - 100, and
quizzes - 45. Calculate your weighted average.
18) Use the following data values to answer the questions below:
75
95
37
Scores on a Recent Geometry Exam
89
17
35
98
37
49
82
37
36
70
86
59
93
71
66
86
69
83
63
47
86
59
83
21
a) Construct a box-and-whisker plot to display the data.
b) Calculate the IQR.
c) Calculate the median rank.
96
79
69
72
24
32
19) When you wake up in the morning you have a choice of 4 cereals (Cheerios,
Wheaties, Pops, Rice Krispies). You also have a choice of 3 beverages (milk, water,
juice) and a choice of 3 fruits (apple, pear, banana). Construct a tree diagram to show the
number of possible options you have for breakfast. You will have one of each.
20) Using the following words, calculate the number of permutations using each letter
once:
a) VACATION
b) SUBSTITUTE
c) ARRIVAL
d) BEAR
21) Evaluate each of the following:
a) 7!
b) 7!/4!
c) 10!/2!2!
d) 15!(17-11)!