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

Categorical Data Displays Answers

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1
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The relative frequency table below displays the proportion of colors of cars for sale at a dealership.What proportion of cars are yellow?

Question illustration
A
0.04
B
0.1
C
0.15
D
0.4
2
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A survey asked 25 students about their favorite sport. A frequency table of their responses is below.Which of the following is the correct relative frequency table for the students’ favorite sport?

Question illustration
A
Basketball, 0.16; football, 0.32; lacrosse, 0.12; soccer, 0.28; volleyball, 0.12.
Option A
B
Basketball, 0.16; football, 0.28; lacrosse, 0.12; soccer, 0.32; volleyball, 0.12.
Option B
C
Basketball, 0.04; football, 0.07; lacrosse, 0.03; soccer, 0.08; volleyball, 0.03.
Option C
D
Basketball, 4; football, 7; lacrosse, 3; soccer, 8; volleyball, 3.
Option D
3

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

Question illustration
A
More students have hazel eyes than blue.
B
Most of the students in the class have brown eyes.
C
More students in the class have blue eyes than hazel.
D
The fewest number of students have gray eyes.
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%
6

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.
8

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
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
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.
10

The bars in this graph represent the favorite sport listed by teenagers in a random sample.

Question illustration
A
Yes, because the scale does not start at 0.
B
Yes, because the bars are not the same height.
C
No, because the bars are all the same width.
D
No, because the scale starts at 0.
11

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.
12

A random sample of teenagers were surveyed and asked about their favorite sport. The pie chart below displays their responses.

Question illustration
A
5%
B
13%
C
25%
D
50%
13

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
14

The relative frequency table below displays the proportion of residents in an apartment complex who prefer certain social media sites.

Question illustration
A
0.1
B
0.2
C
0.3
D
0.35
15

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
16

The relative frequency table below displays the proportion of colors of cars for sale at a dealership.What proportion of cars are yellow?

Question illustration
A
0.04
B
0.1
C
0.15
D
0.4

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