8th Grade Two-Way Tables and Relative Frequency Test with Point Values (PDF)

8th Grade math test: Two-Way Tables and Relative Frequency – Maths PDF

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This two way tables test for 8th Grade covers two-way tables and relative frequency (Common Core 8.SP.A.4), with a free PDF to print.

This 20-point test checks two-way tables, relative frequencies and association between two categorical variables (Common Core 8.SP.A.4). Work alone, show every step, and write each final answer clearly. You have 45 minutes. Calculators are not needed unless a question says so.

Time and points

About this test

Grade: Grade 8
Chapter: Two-Way Tables and Relative Frequency
Standards: 8.SP.A.4
Time: 45 minutes
Total: 20 points

Two way tables test: questions

Question 1 – Read the table [3 pts]

Survey of 100 students.

A survey of 100 students asked about chess and liking math. (a) How many students play chess? (b) How many do not like math? (c) How many play chess and like math?

Question 2 – Complete a table [3 pts]

A table with blanks.

Find the missing totals: the Grade 7 total, the soccer total and the grand total.

Question 3 – Relative frequencies [3 pts]

In the chess and math survey (chess: 24 like math, 6 do not; no chess: 30 like math, 40 do not), find the percent of chess players who like math and the percent of non-players who like math.

Question 4 – Association [2 pts]

Is there an association between playing chess and liking math in the survey? Use your percents to explain.

Question 5 – Segmented bars [3 pts]

Percent who like math.

The bars show row percents. Which group has a greater percent who like math? What does the difference in bars show about association?

Question 6 – Build a table [2 pts]

Of 50 students, 30 are in band. Of those in band, 18 also play a sport. Of the 20 students not in band, 12 play a sport. Build a two-way table (band by sport) with totals.

Question 7 – Explain [1 pt]

Why is it better to compare percents than counts when the groups have different sizes?

Question 8 – Cause [3 pts]

A table shows that students who ride the bus to school are more likely to be on time. Does riding the bus cause students to be on time? Explain.

Key facts behind this two way tables test

Key facts

Joint frequencies are the counts inside the table; marginal frequencies are the totals.
Relative frequency = count ÷ total, usually as a percent.
Row percents compare groups defined by the rows.
If row percents differ a lot, the variables are associated.
Association does not prove that one variable causes the other.

How to use this two way tables test

Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.

All Grade 8 chapters: Grade 8 math.

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