AnswersTN-Mathematical Reasoning for Decision Making SupplementComparing Two Categorical Variables

Comparing Two Categorical Variables — Unit test Answers

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High school students were asked if they preferred fiction or nonfiction books. The results are displayed below.Which of the following statements is true, according to the graph?

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A
The lowest percentage of those preferring nonfiction is among 9th-grade students.
B
The highest percentage of those preferring nonfiction is among 12th-grade students.
C
The percentage of those preferring fiction and nonfiction is equal among 11th-grade students.
D
The percentage of preference for each type of book is relatively equal among the different grades of students.
2
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A random sample of teenagers were surveyed about their favorite sport. The bar graph below displays their responses.

Question illustration
A
The bar for lacrosse is one-third the height of the bar for football.
B
More teenagers in the sample chose lacrosse over volleyball as their favorite sport.
C
Twice as many teenagers in the sample chose soccer over basketball as their favorite sport.
D
Twice as many teenagers in the sample chose football over basketball as their favorite sport.
3

The stemplot displays 26 students’ scores on a 90-point statistics test.

Question illustration
A
The scores on the test are centered around 63 and vary from 45 to 85.
B
The scores on the test are centered around 66 and vary from 43 to 85.
C
The scores on the test are centered around 66 and vary from 40 to 80.
D
The scores on the test are centered around 69 and vary from 45 to 85.
4

Customers at a sandwich shop have a number of options for a side dish to go with their sandwiches. The manager of the shop tallies the customers’ side dish preferences during a lunch hour. The results are shown in the pie chart below.

Question illustration
A
Side dish choice is a discrete variable.
B
Side dish choice is a categorical variable.
C
Side dish choice is a continuous variable.
D
Side dish choice is a quantitative variable.
5

An indoor running track is 200 meters in length. During a 3,000-meter race, runners must complete 15 laps of the track. An electronic timing device records the time it takes each runner to complete a lap for every lap in the race. These are called lap times. The histogram below displays the lap times for Stefano, a runner in the 3,000-meter race.

Question illustration
A
There were no lap times between 35 and 36 seconds.
B
There were six laps with times less than 37 seconds.
C
There were three laps with times greater than 38 seconds.
D
The interval from 37 to 38 seconds saw the most lap times.
6

A waitress wondered if there was an association between the type of food and the type of drink customers ordered. The results are displayed below.Based on the graph, is there an association between food ordered and drink ordered?

Question illustration
A
There is an association because the distribution of drinks ordered differs among the food groups.
B
There is an association because the distribution of drinks ordered is the same among the food groups.
C
There is no association because the distribution of drinks ordered differs among the food groups.
D
There is no association because the distribution of drinks ordered is the same among the food groups.
7

The eye color for students in a statistics class was recorded. The relative frequencies for each color are listed in the table below.

Question illustration
A
0.27
B
0.30
C
0.37
D
0.50
8

The stemplot displays 26 students’ scores on a 90-point statistics test.

Question illustration
A
23%
B
54%
C
77%
D
96%
9

A waitress wondered if there was an association between the type of food and the type of drink customers ordered. The results are displayed below.

Question illustration
A
salad
B
sandwich
C
soup
D
pasta
10

A school administrator asks each student if they participate in a sport and if they participate in a club. The results are shown below. Participates in a Sport YesNoTotalParticipates in a ClubYes6204501070No325535860 Total9459851930What percentage of students do not participate in a sport?

A
27.7%
B
44.6%
C
51.0%
D
62.2%
11

Which of the following displays is a relative frequency bar graph?

A
A bar graph titled eye color has color on the x-axis. Blue, 8; brown, 10; green, 6; hazel, 5; gray, 1.
Option A
B
A bar graph titled social media preferences has platform on the x-axis. Upstart, 0.10; Aster, 0.25; Babble, 0.30; Techy, 0.35.
Option B
C
A bar graph titled Caffeinated Drinks has drink on the x-axis. Coffee, 9; tea, 8; soda, 8; energy, 3.
Option C
D
A bar graph titled social media preferences has platform on the x-axis . Upstart, 4; Aster, 18; Babble, 15; Techy, 12.
Option D
12

A student collected data on the size of coffee chosen by customers at a convenience store, and whether the customers took their coffee with sugar, cream, or both. Size of Coffee SmallMediumLargeTotalCoffee AdditiveCream8152144Sugar481123Both15234280 Total274674147What percentage of customers chose a medium-sized coffee?

A
31.3%
B
32.6%
C
50.3%
D
62.1%
13

High school students were asked if they preferred fiction or nonfiction books. The results are displayed below.

Question illustration
A
There is an association because the distribution of genre preferences differs among the grade groups.
B
There is an association because the distribution of genre preferences is the same among the grade groups.
C
There is no association because the distribution of genre preferences differs among the grade groups.
D
There is no association because the distribution of genre preferences is the same among the grade groups.
14

A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a continuous quantitative variable that might be included in the brochure?

A
number of seats
B
type of transmission
C
presence of a sunroof
D
fuel efficiency (in mpg)
15

An arena manager tallies the number of snack items (hot dogs, nachos, and popcorn) sold at each of three concession stands in the arena. Snack Item Hot DogsNachosPopcornTotalConcessionStandsStand A1256540230Stand B21811952389Stand C655213130 Total408236105749What is the probability that a customer purchased popcorn, given that they purchased from stand B?

A
6.9%
B
13.4%
C
14.0%
D
49.5%

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