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

8.165 Using Relative Frequencies to Describe Association Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.165 Using Relative Frequencies to Describe Association. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.165 Using Relative Frequencies to Describe Association - Which conclusion about association is supported by the relative frequencies in 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 8.165 Using Relative Frequencies to Describe Association skill assessments:

Problem 1Difficulty: Hard

A school report compared whether students kept completed papers in a folder and which seat area students chose in the cafeteria. Row relative frequencies: 'Used paper folder' -> 'Chose window seats': 46%, 'Chose center seats': 37%, 'Chose outdoor tables': 17%; 'Did not use paper folder' -> 'Chose window seats': 30%, 'Chose center seats': 36%, 'Chose outdoor tables': 34%. Which conclusion about association is supported by the relative frequencies in the table?

AThe row distributions are almost the same, so there is little or no association.

BThe 'Chose outdoor tables' category is relatively more common in the 'Did not use paper folder' group than in the 'Used paper folder' group.

CThe data show cause and effect, not just association.

DThe 'Chose outdoor tables' category is relatively more common in the 'Used paper folder' group than in the 'Did not use paper folder' group.

Solution & Explanation:Compare the row relative frequencies for 'Chose outdoor tables': 17% in the 'Used paper folder' group and 34% in the 'Did not use paper folder' group. Since the percentage is higher in the 'Did not use paper folder' group, the table suggests an association.

Problem 2Difficulty: Hard

A school report compared whether students watched the lesson replay and which elective students preferred. Row relative frequencies: 'Watched replay' -> 'Preferred art': 0.26, 'Preferred music': 0.27, 'Preferred technology': 0.46; 'Did not watch replay' -> 'Preferred art': 0.26, 'Preferred music': 0.29, 'Preferred technology': 0.45. What does this table suggest about association between the variables?

AThe 'Preferred music' category is relatively more common in the 'Watched replay' group than in the 'Did not watch replay' group.

BThe row distributions are almost the same, so there is little or no association.

CThe data show cause and effect, not just association.

DThe 'Preferred music' category is relatively more common in the 'Did not watch replay' group than in the 'Watched replay' group.

Solution & Explanation:Compare the row relative frequencies for 'Preferred music': 0.27 in the 'Watched replay' group and 0.29 in the 'Did not watch replay' group. Because these percentages are very close, the table suggests little or no association.

Problem 3Difficulty: Hard

A school report compared whether students watched the lesson replay and which science project format students used. Row relative frequencies: 'Watched replay' -> 'Used poster board': 38%, 'Used slide show': 32%, 'Used model': 30%; 'Did not watch replay' -> 'Used poster board': 20%, 'Used slide show': 43%, 'Used model': 37%. Which conclusion about association is supported by the relative frequencies in the table?

AThe 'Used poster board' category is relatively more common in the 'Watched replay' group than in the 'Did not watch replay' group.

BThe row distributions are almost the same, so there is little or no association.

CThe 'Used poster board' category is relatively more common in the 'Did not watch replay' group than in the 'Watched replay' group.

DThe table proves that belonging to the 'Watched replay' group causes students to choose a category.

Solution & Explanation:Compare the row relative frequencies for 'Used poster board': 38% in the 'Watched replay' group and 20% in the 'Did not watch replay' group. Since the percentage is higher in the 'Watched replay' group, the table suggests an association.

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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 conclusion about association is supported by the relative frequencies in 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.).