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# Two-way frequency tables | Algebra homework help

#### Question 1 (Multiple Choice Worth 1 points)

(06.05)<object:standard:macc.912.s-id.2.5>

The table shows music preferences:

What type of music do you prefer?
Pop Classical Rap Jazz Rock Row totals
Male student 80 60 80 70 100 390
Female student 200 150 20 70 50 490
Column totals 280 210 100 140 150 880

Which of the following are possible positive associations or observations?

#### Question 2 (Multiple Choice Worth 1 points)

(06.05)<object:standard:macc.912.s-id.2.5>

The table shows preferences of dancing or playing sports for male and female students:

Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Male students 32 12 44
Female students 32 52 84
Column totals 64 64 128

Which of the following are possible positive associations or observations?

#### Question 3 (Multiple Choice Worth 1 points)

(06.05)<object:standard:macc.912.s-id.2.5>

The table shows vacation preferences of families with children under 16 and over 16:

Summer vacation
Camping Traveling out of state Activities in local area Row totals
At least one child under 16 22 12 36 70
All children 16 or older 17 45 20 82
Column totals 39 57 56 152

Sharon mistakenly calculated the marginal relative frequency for traveling out of state to be 57 out of 100 or 57%. What should Sharon have done, and what is the correct answer?

#### Question 4 (Multiple Choice Worth 2 points)

(06.05)<object:standard:macc.912.s-id.2.5>

Male and female students were asked at which location they would most want to vacation. They had the following preferences:

Which location would you most like to visit?
Aspen, Colorado New York,
New York
Row totals
Male students 0.22 0.28 0.50
Female students 0.16 0.34 0.50
Column totals 0.38 0.62 1

Which of the following is a two-way conditional frequency table for gender?

Which location would you most like to visit?
Aspen, Colorado New York,
New York
Male students 0.58 0.45
Female students 0.42 0.55
Column totals 1 1
Which location would you most like to visit?
Aspen, Colorado New York,
New York
Row totals
Male students 22% 28% 50%
Female students 16% 34% 50%
Column totals 38% 62% 100%
Which location would you most like to visit?
Aspen, Colorado New York,
New York
Row totals
Male students 44 56 100
Female students 32 68 100
Column totals 76 124 200
Which location would you most like to visit?
Aspen, Colorado New York, New York Row totals
Male students 0.44 0.56 1
Female students 0.32 0.68 1

#### Question 5 (Multiple Choice Worth 2 points)

(06.05)<object:standard:macc.912.s-id.2.5>

High school students from grades 9-10 and 11-12 were asked to choose the kind of band to have play at a school dance: rap, rock, or country.

Their choices were as follows:
Grades 9-10—Rap: 40; Rock: 30; Country: 55
Grades 11-12—Rap: 60; Rock: 25; Country: 35

Which of the following is a correct two-way frequency table for the data?

Band preference for school dance
Rap Rock Country Row totals
Grades 9-10 0.28 0.21 0.38 0.86
Grades 11-12 0.41 0.17 0.24 0.83
Column totals 0.69 0.38 0.62 1
Band preference for school dance
Rap Rock Country Row totals
Grades 9-10 0.40 0.55 0.61 0.86
Grades 11-12 0.60 0.45 0.39 0.83
Column totals 1 1 1 1
Band preference for school dance
Rap Rock Country Row totals
Grades 9-10 40 30 55 125
Grades 11-12 60 25 35 120
Column totals 100 55 90 245
Band preference for school dance
Rap Rock Country Row totals
Grades 9-10 0.32 0.24 0.44 1
Grades 11-12 0.50 0.21 0.29 1
Column totals 0.69 0.38 0.62 1

#### Question 6 (Multiple Choice Worth 2 points)

(06.05)<object:standard:macc.912.s-id.2.5>

High school students and college students were surveyed to see what type of movies they prefer. The results are as follows:

High school—Action: 26; Drama: 14; Comedy: 22
College—Action: 20; Drama: 28; Comedy: 18

Which of the following is a correct two-way relative frequency table for the data?

Movie Preference
Action Drama Comedy Row totals
High School 26 14 22 62
College 20 28 18 66
Column totals 46 42 40 128
Movie Preference
Action Drama Comedy Row totals
High School 0.57 0.33 0.55 0.48
College 0.43 0.67 0.45 0.52
Column totals 1 1 1 1
Movie Preference
Action Drama Comedy Row totals
High School 0.42 0.23 0.35 1
College 0.30 0.42 0.27 1
Column totals 0.36 0.33 0.31 1
Movie Preference
Action Drama Comedy Row totals
High School 0.20 0.11 0.17 0.48
College 0.16 0.22 0.14 0.52
Column totals 0.36 0.33 0.31 1

#### Question 7 (Multiple Choice Worth 1 points)

(06.05)<object:standard:macc.912.s-id.2.5>

Using the following table, what term best describes the entry of 62%?

Which location would you most like to visit?
Aspen, Colorado New York,
New York
Row totals
Male students 22% 28% 50%
Female students 16% 34% 50%
Column totals 38% 62% 100%

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