AnswersPA-Common Core Math 8 Q1Comparing Data Sets

Interpreting Two-Way Tables Answers

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1
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The table shows the scores that Ms. Cohen’s students earned on the Chapter 6 and Chapter 7 tests. Student ScoresWhat is represented by the expression ?

Question illustration
A
the percentage of students who earned a score of “proficient” on the Chapter 6 test and a score of “needs improvement” on the Chapter 7 test
B
the percentage of students who earned a score of “proficient” on the Chapter 6 test to the total number of students
C
the percentage of students who earned a score of “needs improvement” on the Chapter 6 test and a score of “proficient” on the Chapter 7 test
D
the percentage of students who earned a score of “needs improvement” on the Chapter 6 test to the total number of students
2
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A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below.Customer Spending by Promotion Run CustomersSpendingMore than $30CustomersSpending$30 or Less$10 off $50 15% off $5 off $25 Buy-1-Get-1 Half Off Which statement best describes how the manager can check if there is an association between the two variables?

A
The manager must check relative frequencies by row because there are more than two different promotions.
B
The manager must check relative frequencies by column because there are more than two different promotions.
C
The manager cannot use relative frequencies to look for an association because there are more than two different promotions.
D
The manager should check both relative frequencies by row and by column to look for an association.
3

Lisa is examining a two-way table representing the sales of juice packaged in bottles with an old or new label. In the table, p, q, r, and s are the number of bottles sold or left on the grocery store shelf last Thursday.Sales of Juice Bottles SoldLeft on the ShelfNew LabelpqOld LabelrsComparing which two values will determine whether the new label had an impact on sales?

A
p and q
B
p and r
C
and
Option C
D
and
Option D
4

The band at Hawthorne Middle School consists of students in the sixth, seventh, and eighth grades. Student participation in the band is described by the two-way table below.Student Participation in the Band at Hawthorne Middle School In the BandNot in the BandGrade 619243Grade 715237Grade 817241What is the total number of students in the school band?

A
19
B
51
C
670
D
772
5

The two-way table below displays information about passengers on a commercial flight.Passenger Data First ClassCoachChecked Bags1081Did Not Check Bags1457What percentage of coach passengers did not check bags? Round to the nearest tenth.

A
35.2%
B
41.3%
C
70.4%
D
80.3%
6

The two-way table below describes the quality of sweatshirts and T-shirts screen printed at a local store.Quality of Screen Printing by Item Type PerfectFlawedT-Shirts906Sweatshirts4010Which statement best describes the relationship between the two variables?

A
There is an association because the relative frequencies by row are different.
B
There is an association because the relative frequencies by row are the same.
C
There is no association because the relative frequencies by row are different.
D
There is no association because the relative frequencies by row are the same.
7

Nicole is studying a two-way table. She has computed the relative frequencies by column for each cell. What characteristic of the data will imply an association between the two variables?

A
The relative frequencies are nearly the same in each row.
B
The relative frequencies are significantly different each row.
C
The relative frequencies add to 100% for each column.
D
The relative frequencies add to 100% for each row.
8

The two-way table below describes the attendance at a movie theater at various times of the day.Patrons at a Movie Theater on Thursday and Friday ThursdayFriday5 pm61827 pm1301589 pm7516211 pm4294Which statement best describes the relationship between the two variables?

A
There is an association because the relative frequencies by column are different.
B
There is an association because the relative frequencies by column are similar.
C
There is no association because the relative frequencies by column are different.
D
There is no association because the relative frequencies by column are similar.
9

Hector surveyed students in his homeroom about how they got to school last Monday and noted whether they arrive on time or late. The data he gathered is shown in the two-way table below.Student Arrivals to School Last Monday Arrive on TimeArrive LateTake Bus103Do Not Take Bus84According to the data in the table, what percentage of students in Hector’s homeroom did not take the bus to school last Monday?

Answer:

"48"

10

The two-way table below describes the practice habits of members of the school band and choir.Practice Habits of School Musicians Less than30 Minutes per DayAt Least30 Minutes per DayBand Students3826Choir Students1812Which statement best describes the relationship between the two variables?

A
There is an association because the relative frequencies by row are different.
B
There is an association because the relative frequencies by row are similar.
C
There is no association because the relative frequencies by row are different.
D
There is no association because the relative frequencies by row are similar.

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