Free Printable WorksheetMathGrade 8Math Curriculum8.SP.A.4

8.163 Computing Joint and Marginal Relative Frequencies Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.163 Computing Joint and Marginal Relative Frequencies. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.163 Computing Joint and Marginal Relative Frequencies - Which joint or marginal relative frequency is computed correctly from the two-way table? (CCSS 8.SP.A.4; CA 8.SP.A.4; MA 8.SP.A.4)

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

Grade 8

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 8.163 Computing Joint and Marginal Relative Frequencies skill assessments:

Problem 1Difficulty: Hard

A class collected categorical data on homework start time and calculator check habit. Use the two-way table. Count table for homework start time (rows) and calculator check habit (columns): | | Check with calculator | No calculator check | | Right after school | 5 | 6 | | After a break | 16 | 6 | | After dinner | 35 | 16 | What is the joint relative frequency of After a break and Check with calculator? Give your answer as a decimal to the nearest thousandth.

Solution & Explanation:The joint relative frequency is the cell count divided by the grand total. For After a break and Check with calculator, use 16/84 = 0.190476, which rounds to 0.190.

Problem 2Difficulty: Hard

The following survey summary organizes students by weekend activity and reading goal. Count table for weekend activity (rows) and reading goal (columns): | | 10 pages | 20 pages | 30 pages | | Biking | 5 | 4 | 19 | | Drawing | 7 | 4 | 5 | | Cooking | 8 | 17 | 15 | Which calculation correctly finds the marginal relative frequency for the column labeled 20 pages?

A25/84

B59/84

C17/25

D20/84

Solution & Explanation:A marginal relative frequency for a column uses the column total over the grand total. The 20 pages column total is 25, so the correct calculation is 25/84.

Problem 3Difficulty: Hard

This two-way table records study method and volunteer participation for a group of students. Count table for study method (rows) and volunteer participation (columns): | | Volunteer | No volunteer | | Flashcards | 5 | 18 | | Practice quiz | 35 | 22 | | Review notes | 3 | 37 | A student wrote four relative-frequency statements from the table. Which statement is correct?

AThe joint relative frequency of Review notes and Volunteer is 40/120 = 0.333.

BThe joint relative frequency of Review notes and Volunteer is 18/120 = 0.150.

CThe joint relative frequency of Review notes and Volunteer is 3/120 = 0.025.

DThe joint relative frequency of Review notes and Volunteer is 3/40 = 0.075.

Solution & Explanation:The joint relative frequency comes from one cell over the grand total: 3/120 = 0.025.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.SP.A.4 (Primary standard selected for prompt fields: CCSS 8.SP.A.4. Skill statement: Which joint or marginal relative frequency is computed correctly from the two-way table? Associated standards listed with this skill: CCSS 8.SP.A.4; CA 8.SP.A.4; MA 8.SP.A.4. Use this embedded wording as the best available supporting standard description for this workflow.).