AnswersSC-Statistical Modeling SDPCIntroduction to Statistics

Categorical Data Displays Answers

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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.
2
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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%
3

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.
4

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.
5

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.
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

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
8

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
9

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.
10

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

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

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