Name _______________________________________ Date __________________ Class __________________
Problem Solving
Two-Way Tables
1. The table shows the number of students who would drive to school if the school provided
parking spaces. Make a table of joint relative frequencies and marginal relative frequencies.
Lowerclassmates
Upperclassmates
Always
32
122
Sometimes
58
44
Never
24
120
Lowerclassmates
Upperclassmates
Total
Always
Sometimes
Never
Total
2. Gerry collected data and made a table of marginal relative frequencies on the number of
students who participate in chorus and the number who participate in band.
Chorus
Band
Yes
No
Total
Yes
0.38
0.29
0.67
No
0.09
0.24
0.33
Total
0.47
0.53
1.0
a. If you are given that a student is in chorus, what is the probability that the student also
is in band? Round your answer to the nearest hundredth.
________________________________________________________________________________________
b. If you are given that a student is not in band, what is the probability that the student is
in chorus? Round your answer to the nearest hundredth.
________________________________________________________________________________________
Select the best answer.
3. What is the probability if a student is not
in chorus, then that student is in band?
A 0.29
B 0.38
C 0.43
D 0.55
4. What is the probability that if a student
is not in band, then that student is not in
chorus?
F 0.09
G 0.33
H 0.44
J
0.73
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 2
Name _______________________________________ Date __________________ Class __________________
Review for Mastery
1.
Lowerclassmate Upperclassmate
s
s
Total
Yes
0.192
0.400
0.592
No
0.232
0.176
0.408
Total
0.424
0.576
1
2. about 0.68
3. a. Marylou: 0.37
Manuel: 0.81
Marley: 0.82
b. Marley
Challange
1.
Yes
No
Total
Adults
0.42
0.31
0.73
Students
0.21
0.06
0.27
Total
0.63
0.37
1
2.
3.
4.
5.
22%
58%
63%
583
Problem Solving
1.
Lowerclassmates
Upperclassmates
Total
Always
0.080
0.305
0.385
Sometimes
0.145
0.110
0.255
Never
0.060
0.300
0.360
Total
0.285
0.715
1
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 2
Name _______________________________________ Date __________________ Class __________________
Practice B
2. a. 0.81
1. mean: 27.4
b. 0.27
median: 22
3. D
mode: 22
range: 27
4. J
2. mean: 10.5
median: 9
mode: 8
Reading Strategy
3. mean: 1.5
Yes
No
Total
Children
0.40
0.04
0.44
Adults
0.36
0.2
0.56
Total
0.76
0.24
1
mode: none
4. mean: 94
modes: 93, 95
5
median: 10
range: 25 – 7 = 18
range: 2.75
median: 94
range: 4
5. outlier: 98, increases mean by 10.1 and
range by 57, no effect on median or
mode
6. outlier: 24, decreases mean by 9
Practice A
1. 7, 9, 10, 19, 25
mean:
7  9  10  19  25
median: 1.25
1
,
3
median by 3.5, increases range by 55,
no effect on mode
DATA DISTRIBUTIONS
7a. mean: $80.50
 14
mode: none
7b. mean, because it is the lowest of the
three measures, lower because of the
outlier $15
7c. mode, $99, because it is the greatest of
the three measures
2. 2, 3, 3, 5, 5, 5, 5
mean: 4
median: 5
mode: 5
range: 3
3. mean: 11
mode: 8 and 12
range: 7
8.
median: 10.5
range: 9
4. outlier: 29, increases mean by 4.25,
median by 1.5, and range by 18, no
effect on mode
9.
5. outlier: 11, decreases mean by 8.5,
median by 2.5, no effect on mode,
increases range by 28
10. Tim
6a. mean, 44
6b. median, 50, because it is higher than
the mean.
7a. 8, 10, 14, 15, 18, 22, 22, 30, 33
7b. 8, 12, 18, 26, 33
12. Tim, his box is to the left of Jamal’s.
Practice C
1. mean: 42.6
mode: none
median: 35
range: 97.5
2. mean: 0.75
mode: –6, 4
median: 2
range: 12
3. mean: 6
8. Liam
10. Liam
9. Vicki
11. Jamal
19
20
mode: none
median: 7
range: 7
3
10
4
5
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 2