Ten multiple-choice questions check your skill with two-way tables: reading counts, choosing the right total, finding relative frequencies, and deciding about association. Pick the one correct answer, then read the explanation to learn from any mistake.
Grade 8Common Core: 8.SP.A.4
🎯 Two-Way Tables – Grade 8 math quiz
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Question 1
How many boys chose basketball?Sport choice by group.
A25
B15
C18
D43
Question 2
Use the same table. How many students chose soccer in all?
A22
B15
C43
D37
Question 3
Use the same table. What percent of all 80 students are girls who chose basketball?
A45%
B22.5%
C41.9%
D18%
Question 4
Use the same table. What percent of the boys chose basketball?
A58.1%
B31.25%
C37.5%
D62.5%
Question 5
Use the same table. Of the students who chose soccer, what percent are girls?
A55%
B59.5%
C27.5%
D40.5%
Question 6
The bars show the sport choices of girls and boys. What do they suggest?Sport choice, row percents.
AA possible association: boys are more likely to choose basketball
BNo association: both groups chose both sports
CGirls and boys chose basketball equally often
DGirls are more likely to choose basketball
Question 7
Which statement is correct?Pet choice by grade.
AAssociation: more eighth graders chose dogs (36 versus 30)
BAssociation: 50% of seventh graders chose dogs
CNo association: 60% of each grade chose dogs
DNo association: the two grades have different totals
Question 8
Use the pet table. Which fraction gives the percent of seventh graders who chose cats?
A\(\frac{20}{50}\)
B\(\frac{20}{44}\)
C\(\frac{20}{110}\)
D\(\frac{20}{30}\)
Question 9
A club has 120 girls and 60 boys. Of them, 54 girls and 36 boys signed up for a trip. Who is more likely to sign up?
AGirls, since 54 is greater than 36
BEqually likely, since 54 and 36 are both under 60
CBoys, since 60% of boys signed up versus 45% of girls
DGirls, since there are more girls in the club
Question 10
What is the missing value, shown as a question mark?A two-way table with one missing cell.
A16
B14
C32
D12
🎉 Quiz complete!
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Remember:
Standard 8.SP.A.4: build and interpret two-way tables, and use relative frequencies to describe possible association.
Inner cells are joint frequencies; the bottom row and right column hold the totals.
Relative frequency = a count divided by a row total or a column total.
Noticeably different row percents suggest an association; about equal row percents suggest none.
Compare percents, not raw counts, because the groups can be different sizes.
