Answers2025-2026 TPS CR Algebra 1 BSummarizing Data Sets with Statistics

Summarizing Data Sets with Statistics — Test Answers

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1
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A recipe uses 3 eggs for every 8 cups of flour. What is the ratio of eggs to flour in the recipe?

A
8 to 3
B
StartFraction 3 over 8 EndFraction
Option B
C
3 to 11
D
8:3
2
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Nico wanted to determine the number of students in his school who buy school lunch. He walked around the cafeteria one lunch period looking to see whether every fifth person in the cafeteria purchased lunch or brought their own.

A
survey
B
simulation
C
experiment
D
observational study
3

Kira looked through online census information to determine the average number of people living in the homes in her city. What is true about Kira’s data collection?

A
Kira used an observational study where the data is qualitative.
B
Kira used an observational study where the data is quantitative.
C
Kira used published data that is qualitative.
D
Kira used published data that is quantitative.
4

Miguel babysits for 3 hours and earns $15. Which represents the unit rate?

A
$1 per 5 hours
B
$15 per hour
C
1 hour per $5
D
$5 per hour
5

What is the sum of the polynomials?(7x3 – 4x2) + (2x3 – 4x2)

A
5x3
B
9x3
C
5x3 – 8x2
D
9x3 – 8x2
6

Which figures can be precisely defined by using only undefined terms? Select three options.

A
angle
B
arc
C
circle
D
line segment
E
parallel lines
7

The yearbook club has 5 members returning from last year. They set up a booth in the cafeteria to recruit more members, and an average of 3 new members sign up each day. Which best describes why the graph relating the total number of members on the yearbook club, m, and the number of days the booth is set up, d, will be continuous or discrete?

A
The graph will be continuous because an end day for the booth being set up is not given in the description.
B
The graph will be continuous because there can be any number of people signing up each day since we are only given the average.
C
The graph will be discrete because some day the number of available people to sign up for the club will run out.
D
The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.
8

Question text not available

Question illustration
A
line XY
B
line XZ
C
line WX
D
line WZ
9

The scatterplot illustrates the relationship between two quantitative variables: the number of seeds planted per square foot and the yield of the crop (in pounds per square foot).

Question illustration
A
The more seeds that are planted per square foot, the smaller the expected yield of the crop.
B
The more seeds that are planted per square foot, the larger the expected yield of the crop.
C
The expected yield of a crop is high whenever the number of seeds planted per square foot is small or large. A larger yield is expected when the number of seeds per square foot is around 60.
D
The expected yield of a crop is low whenever the number of seeds planted per square foot is small or large. A larger yield is expected when the number of seeds per square foot is around 60.
10

Which graph shows the equation c = 10+ 3t, where c is the total cost of going to the carnival and t is the number of $3 tickets purchased?

A
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends at point (6, 27).
Option A
B
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 10), (1, 14), (2, 16), (3, 19), (4, 22), (5, 25), (6, 28).
Option B
C
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends around point (6, 60).
Option C
D
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 3), (1, 13), (2, 24), (3, 34), (4, 43), (5, 54).
Option D
11

Lorenzo’s test scores are shown below. Lorenzo’s Test ScoresAnika’s test scores are shown below.Anika’s Test ScoresWhich statement compares the shape of the two dot plots?

Question illustration
A
There is a gap in both plots.
B
There is a gap in Anika’s scores, but not in Lorenzo’s scores.
C
The data is widely spread across both plots.
D
The data is more widely spread for Lorenzo’s scores than for Anika’s.
12

How can the statement be rewritten as a conditional statement in if-then form?Lines on a coordinate plane are perpendicular if they have opposite reciprocal slopes.

A
If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular.
B
If lines are on a coordinate plane, then they are perpendicular.
C
If lines are on a coordinate plane, then they have opposite reciprocal slopes.
D
If lines have opposite reciprocal slopes and are perpendicular, then they are on a coordinate plane.
13

A state tourist guide provides information on summer vacation towns. Some of the towns and related information are given in the table below.What are the individuals in the data set?

Question illustration
A
towns
B
average temperatures
C
beach access
D
locations
14

An appliance store sells microwave ovens and has many different styles to choose from. A handout from the store contains details about brand, type (countertop or over-range), number of power settings, and color. Which of the variables is a discrete quantitative variable?

A
brand
B
type
C
power settings
D
color
15

Which shows all the values of a that make the rational expression undefined?

Question illustration
A
a = 9
B
a = 3
C
a = –9 or a = 9
D
a = –3 or a = 3
16

College administrators noticed that students who had higher high school GPAs tend to have higher college GPAs. The data in the table show various high school GPAs and college GPAs for a sample of students.

Question illustration
A
A graph titled high school and college G P A has H S G P A on the x-axis, and College G P A on the y-axis. Points are at (3.25, 3.2), (3.5, 3.0), (3.5, 2.9), (3.25), (3.0), (2.5, 3.0), (4, 3.0), (4, 3.1), (3.5, 3.1), (3.25, 3.1), (3.25, 3.1), (3.5, 3.0), (3.5, 3.0), (4, 3.1), (3, 3.0), (3.5, 3.1), (2.25, 2.9), (2.5, 2.8).
Option A
B
A graph titled high school and college G P A has College G P A on the x-axis, and H S G P A on the y-axis. Points are at (2.8, 2.5), (2.9, 2.25), (2.9, 3.5), (3, 2.5), (3, 3), (3, 3.25), (3, 3.5), (3, 4), (3.1, 3.25), (3.1, 3.5), (3.1, 4), (3.2, 3.25).
Option B
C
A graph titled high school and college G P A has H S G P A on the x-axis, and College G P A on the y-axis. Points are at (3.25, 3.2), (3.5, 3.0), (3.5, 2.9), (3.25), (3.0), (2.5, 3.0), (4, 3.0), (4, 3.1), (3.5, 3.1), (3.25, 3.1), (3.25, 3.1), (3.5, 3.0), (3.5, 3.0), (4, 3.1), (3, 3.0), (3.5, 3.1), (2.25, 2.9), (2.5, 2.8), (4, 3.2).
Option C
D
A graph titled high school and college G P A has College G P A on the x-axis, and H S G P A on the y-axis. Points are at (2.8, 2.5), (2.9, 2.25), (2.9, 3.5), (3, 2.5), (3, 3), (3, 3.25), (3, 3.5), (3, 4), (3.1, 3.5), (3.1, 4), (3.2, 3.25).
Option D
17

Myrna wants to know about how many pairs of jeans middle school students own. She did not have time to ask all 257 middle school students, so she surveyed a random sample of 25 students. The results below display the number of pairs of jeans each surveyed student owns. 3, 4, 2, 1, 3, 1, 2, 4, 2, 3, 1, 2, 4, 2, 3, 2, 2, 6, 1, 1, 2, 4, 1, 1, 2The mean of her data is 2.36 pairs of jeans. From the given data and the calculated mean, which inference could Myrna make?

A
All middle school students own jeans.
B
The average middle school student owns around two pairs of jeans.
C
Most seventh-grade students prefer cargo pants to jeans.
D
An average middle school student owns three or more jeans.
18

On a coordinate plane, a curved line with a minimum value of (0, 1) and a maximum value of (negative 1.3, 2.2), crosses the x-axis at (negative 2.2, 0) and crosses the y-axis at (0, 1).

Question illustration
A
Over the interval [–3, –2], the local minimum is 0.
B
Over the interval [–2, –1], the local minimum is 2.2.
C
Over the interval [–1, 0.5], the local minimum is 1.
D
Over the interval [0.5, 2], the local minimum is 4.
19

When Henry surveyed 45 seventh-grade students at random in the school cafeteria, he found that 3 out of 15 liked reggae music. Using proportional reasoning, about how many of the 180 seventh-grade students in his school like reggae?

A
About 12 seventh-grade students like reggae music.
B
About 36 seventh-grade students like reggae music.
C
About 60 seventh-grade students like reggae music.
D
About 108 seventh-grade students like reggae music.
20

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.

Question illustration
A
(0, 8)
B
(–4, 0)
C
(–4, 0), (4, 0)
D
(–4, 0), (0, 8), (4, 0)

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