Free Printable WorksheetMathAlgebra IMath CurriculumALG1.130

ALG1.130 Two Way Tables and Conditional Relative Frequency (Optional) Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.130 Two Way Tables and Conditional Relative Frequency (Optional). Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.130 Two-Way Tables and Conditional Relative Frequency (Optional) - Select the statement that correctly interprets two-way tables and conditional relative frequencies to describe relationships between categorical variables; Select the option that shows how to use conditional frequencies to answer probability and comparison questions.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Algebra I

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related ALG1.130 Two Way Tables and Conditional Relative Frequency (Optional) skill assessments:

Problem 1Difficulty: Mastery
A final two-way table summarizes practice-test use and final-exam result. Table: Took practice test: Passed 66, Did not pass 24 | Did not take practice test: Passed 42, Did not pass 28 | Column totals: Passed 108, Did not pass 52, Grand total 160. Which option correctly answers both the probability and comparison questions?
AP(passed given took practice test) = 66/90 about 73%; P(passed given did not take) = 42/70 = 60%, so practice-test takers had the higher pass rate.
BP(took practice test given passed) = 66/108 about 61%; P(did not take given passed) = 42/108 about 39%, so practice-test takers had the higher pass rate.
CP(passed given took practice test) = 66/160 about 41%; P(passed given did not take) = 42/160 about 26%, so the grand total proves the comparison.
DP(did not pass given took practice test) = 24/90 about 27%; P(passed given did not take) = 42/70 = 60%, so the groups cannot be compared.
Solution & Explanation:To compare pass rates by practice-test use, condition on each practice-test group. Took: 66/(66 + 24) = 66/90 about 73%. Did not take: 42/(42 + 28) = 42/70 = 60%.
Problem 2Difficulty: Mastery
A field day table shows team color and event choice. Table: Red team: Relay 32, Obstacle 48 | Blue team: Relay 24, Obstacle 16. Which reverse-conditional statement is true?
AAmong Red team students, 32/56 chose relay.
BAmong obstacle students, 48/80 are on the Blue team.
CAmong Blue team students, 16/64 chose obstacle.
DAmong relay students, 32/56 are on the Red team.
Solution & Explanation:The relay column total is 32 + 24 = 56. So among relay students, the Red team fraction is 32/56.
Problem 3Difficulty: Mastery
Which count table matches these statements? Among online-review students, 30% chose video review. Among in-person-review students, 60% chose video review.
AOnline: Video 30, Notes 20 ; In-person: Video 15, Notes 35
BOnline: Video 15, Notes 30 ; In-person: Video 30, Notes 35
COnline: Video 15, Notes 35 ; In-person: Video 30, Notes 20
DOnline: Video 30, Notes 70 ; In-person: Video 60, Notes 40
Solution & Explanation:The table with online video 15 and notes 35 gives 15/(15 + 35) = 30%, and the table with in-person video 30 and notes 20 gives 30/(30 + 20) = 60%.

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Frequently Asked Questions

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QHow do I download and print this ALG1.130 Two Way Tables and Conditional Relative Frequency (Optional) worksheet?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra I Math students. It aligns with educational standard ALG1.130 (No external standard code was listed in the curriculum source for this skill. Skill statement in this prompt cell: Select the statement that correctly interprets two-way tables and conditional relative frequencies to describe relationships between categorical variables; Select the option that shows how to use conditional frequencies to answer probability and comparison questions. Use the skill code ALG1.130 and this prompt-provided wording as the supporting standard description for this workflow.).

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