Page 1
1.
Below is a pie chart of the sources of points in a College Algebra class.
According to the chart, what is the smallest source of points in the class?
2.
Below is a pie chart of the sources of points in a College Algebra class.
According to the chart, what is the smallest source of points in the class?
A)
Tests
B)
Final
C)
Projects
D)
HW
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3.
Jeremy has instructed his accountant to split any deposits into his retirement account
into the investments as shown in the pie chart.
If Jeremy deposits $11,000 into his retirement account, how much will his accountant
allocate to bonds?
4.
Jeremy has instructed his accountant to split any deposits into his retirement account
into the investments as shown in the pie chart.
If Jeremy’s accountant allocates $4,200 to global equities, how much was his investment
into his retirement account?
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5.
Jeremy has instructed his accountant to split a $12,000 deposit to his retirement account
into the investments as shown in the pie chart.
What percent of his investment was allocated to global equities?
6.
Find the mean of the data set below.
43, 34, 46, 38, 43, 37, 42, 23, 27, 40, 43, 21
Round your answer to 2 decimal places.
7.
Find the mean of the data set below.
37, 69, 52, 40, 25, 64, 49, 73, 33, 66
A)
50.5
B)
49
C)
64
D)
50.8
8.
Find the median of the data set below.
28, 64, 37, 36, 19, 59, 44, 68, 28, 49, 63
9.
Find the median of the data set below.
44, 80, 65, 52, 35, 75, 53, 84, 44, 60, 79
A)
75
B)
61.00
C)
60
D)
53
10.
Find the median of the data set below.
28, 60, 46, 31, 13, 55, 40, 64, 24, 57
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11.
Find the median of the data set below.
39, 71, 59, 42, 22, 66, 51, 75, 35, 68
A)
55
B)
52.8
C)
51
D)
59
12.
Here are the number of home runs that Babe Ruth hit in each of his 15 years with the
New York Yankees, 1920 to 1934.
54, 59, 35, 41, 46, 25, 47, 60, 54, 46, 49, 46, 41, 34, 22
Calculate the each of the following for this data.
a.) the mean
and
b.) the median.
Round your answer to 2 decimal places.
13.
Find each of the following for the set of data: 20, 17, 21, 23, 19, 23, 25
A) the mean
and
B) the median.
Round your answer to 2 decimal places.
14.
On a recent test in a College Algebra class the following scores were recorded:
71
63
70
80
71
65
52
72
52
64
79
65
Find each of the following:
A) the mean
and
B) the median
If necessary, round answers to 2 decimal places.
15.
In a group of seven people the heights, in inches, of six are known to be 66, 61, 69, 69,
63, and 68. If the mean height of all seven people is 65, then what must the seventh
height be?
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16.
In a group of seven people the heights, in inches, of six are know to be 72, 69, 65, 67,
72, and 61.
If the median height of all seven people is 67, then what must the seventh (from largest
to smallest) height be?
A)
67 or less
B)
67 or greater
C)
67
D)
70
17.
The frequency table below describes the age distribution of students in a college algebra
class. Based on this information, estimate the largest and smallest possible values for
the mean age of this class.
Age
Frequency
16-17
2
18-19
14
20-21
8
22-23
2
24-25
3
Total
29
A) Find the smallest possible mean
and
B) the largest possible mean.
Round your answers to 2 decimals if necessary.
18.
The frequency table below describes the age distribution of students in a college algebra
class. Based on this information, estimate the smallest possible value for the mean age
of this class.
Age
Frequency
16-17
2
18-19
14
20-21
7
22-23
3
24-25
4
Total
30
Which of the following is the smallest possible mean?
Round your answers to 2 decimals if necessary.
A)
19.53
B)
20.53
C)
20.03
D)
18.5
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19.
The frequency table below describes the age distribution of students in a college algebra
class. Based on this information, estimate the largest possible value for the mean age
of this class.
Age
Frequency
16-17
2
18-19
13
20-21
6
22-23
1
24-25
2
Total
24
Which of the following is the largest possible mean?
Round your answers to 2 decimals if necessary.
A)
19.00
B)
20.00
C)
19.5
D)
18.5
20.
The 1999 graduates of Bottom Line University all got great jobs. Their starting annual
salaries are:
$36,000; $32,000; $42,000; $41,000; $40,000; $38,000; $60,000; $43,000; $52,000; and
$2.3 million
(At 6’10” “Hoops” Johnson is playing professional basketball.)
A) A headline in the alumni newsletter boasts “‘1999 Graduates Highest Paid Yet.
Salaries Average $_________” (Complete the headline.)
B) Is the mean or the median a better indication of what the graduates are typically
making?
21.
The 2006 graduates of Bottom Line University all got great jobs. Their starting annual
salaries are:
$32,000; $50,000; $54,000; $60,000; $46,000; $46,000; $37,000; $53,000; $51,000; and
$2.5 million
(At 6’10” “Hoops” Johnson is playing professional basketball.)
Which of the mean or median is a better indication of what their graduates typically
make?
A)
mean
B)
median
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22.
For the following data:
61, 59, 77, 71, 66, 69, 73, 63, 66, 62, 79, 66, 71, 16, 74, 65, 60, 69, 78, 75, 73, 76, 66,
61, 77
Calculate
A) the mean (round to 2 decimal places),
B) the median, and
C) then identify any number that should be considered an outlier.
Round your answer to 2 decimal places.
23.
For the following data:
51, 47, 63, 59, 54, 57, 61, 51, 54, 50, 65, 54, 59, 15, 62, 53, 50, 57, 64, 63, 61, 62, 54,
51, 65
Which of the following is the median?
A)
54
B)
55.28
C)
1,372
D)
57
24.
For the following data:
76, 74, 92, 86, 81, 84, 88, 78, 81, 77, 94, 16, 86, 81, 89, 80, 75, 84, 93, 90, 88, 91, 81,
76, 92
Which of the following should be considered an outlier?
A)
84
B)
81
C)
80.92
D)
16
25.
For the following data:
68, 67, 75, 78, 66, 77, 66, 68, 80, 75, 79, 11, 62, 75, 73, 63, 75, 71
Calculate
A) the mean (Round to 2 decimal places.),
B) the median, and
C) then identify any number that should be considered an outlier.
Round your answer to 2 decimal places.
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26.
For the following data:
64, 63, 72, 75, 62, 74, 62, 64, 77, 72, 76, 13, 58, 72, 70, 59, 72, 67
Calculate
A) the mean (Round to 2 decimal places.),
B) the median, and
C) then identify any number that should be considered an outlier.
Round your answer to 2 decimal places.
27.
The table shows starting salaries from a survey of recent college graduates:
Salary (in thousands)
Number of graduates
11-15
3
16-20
5
21-25
14
26-30
26
31-35
6
36-40
2
Answer each question:
A) How many students were surveyed?
B) What is the relative frequency of a graduate having a salary between $11,000 and
$15,000?
Round your answer to 2 decimal places.
28.
The table shows starting salaries from a survey of recent college graduates:
Salary (in thousands)
Number of graduates
11-15
1
16-20
6
21-25
14
26-30
23
31-35
11
36-40
4
Answer each question:
What is the relative frequency of a graduate having a salary between $16,000 and
$20,000?
Round your answer to 2 decimal places.
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29.
The table shows starting salaries from a survey of recent college graduates:
Salary (in thousands)
Number of graduates
11-15
3
16-20
3
21-25
12
26-30
16
31-35
8
36-40
5
Answer each question:
What is the relative frequency of a graduate having a salary between $36,000 and
$40,000?
Round your answer to 2 decimal places, if necessary.
A)
0.34
B)
5
C)
0.11
D)
0.26
30.
Below is age data from a University of Massachusetts college algebra class.
Age
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
Frequency
2
3
4
2
4
1
1
1
0
1
0
0
1
1
1
2
1
1
0
1
0
1
1
0
0
0
1
0
Which is the relative frequency of students whose ages are in the interval from 18-20?
(rounded to 2 decimal places)
A)
30
B)
3.33
C)
0.30
D)
0.17
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31.
Two friends, Alfredo and Bob, are playing golf. Although they are about the same at
driving the ball onto the green, Al is better at putting. On the 9th hole, Bob makes a 5
and Al hits into the lake and then gets stuck in a sand trap. By the time he gets to the
green and makes it to the hole, his score is 12. Here are the scores for the 9 holes:
Hole
1
2
3
4
5
6
7
8
9
Total
Al
5
4
6
4
4
3
4
3
12
45
Bob
6
5
7
5
4
3
5
4
5
44
Find each of the following (if necessary, round to 2 decimal places):
A) Al’s mean
B) Al’s median
C) Bob’s mean
D) Bob’ median
E) Who is the better golfer “on average“? (Explain your answer.)
32.
The bar chart below was created using the number of children of each of the last 20 U.S.
Presidents.
Find the relative frequency of presidents who had 3 children.
0
2
4
6
8
0 1 2 3 4 5 6
# of Children
Frequency
Count
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33.
The bar chart below was created using the number of children of each of the last 20 U.S.
Presidents.
Find the relative frequency of presidents who had 1 children.
A)
10%
B)
2
C)
1
D)
20%
34.
Use the bar chart below to find the mean of the data set.
Round your answer to 2 decimal places.
35.
Use the bar chart below to find the mean of the data set, rounded to 2 decimal places if
necessary.
A)
5
B)
4.12
C)
4
D)
5.6
E)
4.87
0
2
4
6
8
0 1 2 3 4 5 6
# of Children
Frequency
Count
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36.
The histogram below was created use the ages of members of a certain family. Find the
relative frequency of the family members in the 31-40 age range.
A)
3.125%
B)
1
C)
1%
D)
35
37.
Which of the following CANNOT be the mean of the data set represented in the
following histogram.
A)
6.7
B)
7
C)
7.6
D)
6
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Use the following to answer questions 38-40:
The following graph shows the results from 2,000 teenagers (ages 13 – 17) in the U.S. that were
randomly selected and asked about the time they spent exercising each week.
38.
What percentage of 13 – 17 year old males exercise more than 2 hours per week?
39.
What percentage of 13 – 17 year old females exercise more than 5 hours per week?
40.
What percentage of 13 – 17 year old males exercise 3 hours or less per week?
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Answer Key
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