AnswersMathematics for College Liberal Arts Sem 1 1207350 BCPS 2025-26Categorical Data Displays

Relative Frequencies Answers

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1
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The bar graph below displays the proportion of residents in an apartment complex who prefer certain social media sites.

Question illustration
A
Fewer residents use Aster than Babble.
B
More residents use Babble than Upstart.
C
Twice as many residents use Techy than use Upstart.
D
More residents use Techy than any of the other three.
2
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People of different ages were asked the question "Do you listen to audiobooks?” The bar chart displays the percentage of "yes” responses in each age group.

Question illustration
A
No, because the proportions are not parts of a whole.
B
No, because the data categories are too broad.
C
Yes, because the data are grouped into categories.
D
Yes, because the data can be represented by a relative frequency compared to the whole.
3

The frequency table below displays 17 students’ responses to the question "What types of caffeinated drinks do you consume?”

Question illustration
A
Yes, because the data are grouped into categories.
B
Yes, because the data can be displayed by a relative frequency compared with the whole.
C
No, because the data do not consist of parts of a whole.
D
No, because the data categories are too broad.
4

The pie chart below indicates the eye colors of students in a statistics class.

Question illustration
A
10%
B
15%
C
20%
D
35%
5

The eye color for 30 students in a statistics class was recorded. The counts for each color are listed in the table below.Which of the following is the correct relative frequency table for eye color?

Question illustration
A
Blue, 0.27; brown, 0.33; green, 0.20; hazel, 0.17; gray, 0.03.
Option A
B
Blue, 0,33; brown, 0.27; green, 0.20; hazel, 0.17; gray, 0.03.
Option B
C
Blue, 8; brown, 10; green, 6; hazel, 5; gray, 1.
Option C
D
Blue, 0.8; brown, 0.1; green, 0.6; hazel, 0.5; gray, 0.01.
Option D
6

The pie chart below indicates the eye colors of 30 students in a statistics class.

Question illustration
A
A bar graph titled Eye Colors has eye color on the -axis and percentage on the y-axis. Blue, 27 percent; brown, 33 percent; green, 20 percent; hazel, 17 percent; gray, 3 percent.
Option A
B
A bar graph titled Eye Colors has eye color on the -axis and percentage on the y-axis. Blue, 33 percent; brown, 27 percent; green, 20 percent; hazel, 17 percent; gray, 3 percent.
Option B
C
A bar graph titled Eye Colors has eye color on the -axis and percentage on the y-axis. Blue, 27 percent; brown, 33 percent; green, 17 percent; hazel, 10 percent; gray, 13 percent.
Option C
D
A bar graph titled Eye Colors has eye color on the -axis and percentage on the y-axis. Blue, 17 percent; brown, 33 percent; green, 26 percent; hazel, 20 percent; gray, 4 percent.
Option D
7

The bar graph below displays students’ responses to the question "What caffeinated drinks do you consume?”

Question illustration
A
Yes, because the data are grouped into categories.
B
Yes, because the data can be represented by a relative frequency compared to the whole.
C
No, because the data add up to more than 100%.
D
No, because the data categories are too broad.
8

The picture graph below displays the number of miles for each leg of a triathlon, in which the participants swim 2.4 miles, bike 112 miles, and run 26.2 miles.

Question illustration
A
No, because the pictures accurately represent the number of miles for each leg of the triathlon.
B
No, because the height of each column corresponds to the number of miles for each leg of the triathlon.
C
Yes, because the pictures do not accurately represent the proportions of the distances for each leg of the triathlon.
D
Yes, because the height of each column does not represent the number of miles for each leg of the triathlon.
9

People of different ages were asked the question "Do you listen to audiobooks?” The bar chart displays the percentage of "yes” responses in each age group.

Question illustration
A
More 18- to 25-year-olds listen to audiobooks than 26- to 35-year-olds.
B
Fewer 18- to 25-year-olds listen to audiobooks than 13- to 17-year-olds.
C
More 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.
D
Fewer 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.
10

A survey asked 25 students about their favorite sport. A frequency table of the responses is listed below.Which of the following is the correct bar graph for the students’ favorite sport?

Question illustration
A
A bar graph titled Favorite Sports has favorite sport on the x-axis and frequency on the y-axis. Basketball, 4; football, 3; lacrosse, 8; soccer, 4; volleyball, 3.
Option A
B
A bar graph titled Favorite Sports has favorite sport on the x-axis and frequency on the y-axis. Basketball, 5; football, 3; lacrosse, 4; soccer, 3; volleyball, 8.
Option B
C
A bar graph titled Favorite Sports has favorite sport on the x-axis and frequency on the y-axis. Basketball, 3; football, 8; lacrosse, 4; soccer, 7; volleyball, 3.
Option C
D
A bar graph titled Favorite Sports has favorite sport on the x-axis and frequency on the y-axis. Basketball, 4; football, 7; lacrosse, 3; soccer, 8; volleyball, 3.
Option D

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