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

8.164 Computing Conditional 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 8.164 Computing Conditional Relative Frequencies. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.164 Computing Conditional Relative Frequencies - Which conditional 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 8.164 Computing Conditional Relative Frequencies skill assessments:

Problem 1Difficulty: Hard

The student council collected results about weekend activity and coding experience. For Sports, Has Tried Coding = 9, Has Not Tried Coding = 25; For Reading, Has Tried Coding = 16, Has Not Tried Coding = 22; For Gaming, Has Tried Coding = 24, Has Not Tried Coding = 13. Which statement is correct?

AReading has the highest rate of Has Tried Coding at about 42.1%, and Sports has the lowest at about 26.5%.

BAll three groups have about the same conditional relative frequency of Has Tried Coding.

CGaming has the highest rate of Has Tried Coding at about 64.9%, and Sports has the lowest at about 26.5%.

DSports has the highest rate of Has Tried Coding at about 26.5%, and Gaming has the lowest at about 64.9%.

Solution & Explanation:The rates are Sports: 26.5%, Reading: 42.1%, and Gaming: 64.9%. So the highest is Gaming and the lowest is Sports.

Problem 2Difficulty: Hard

A middle school class recorded data about flash card habit and notebook color. Counts: Uses Flash Cards and Blue: 24; Uses Flash Cards and Red: 8; Uses Flash Cards and Green: 10; Does Not Use Flash Cards and Blue: 22; Does Not Use Flash Cards and Red: 10; Does Not Use Flash Cards and Green: 25. Which statement is correct?

AThe two categories have equal conditional relative frequencies of Uses Flash Cards.

BThe conditional relative frequency of Uses Flash Cards among Red is 15.9 percentage points greater than among Green.

CThe conditional relative frequency of Uses Flash Cards among Green is 15.9 percentage points greater than among Red.

DThe conditional relative frequency of Uses Flash Cards among Red is 20.9 percentage points greater than among Green.

Solution & Explanation:Among Red, the rate of Uses Flash Cards is 8/18 = 44.4%, and among Green, it is 10/35 = 28.6%. The difference is 15.9 percentage points, so the correct comparison says greater.

Problem 3Difficulty: Hard

A cafeteria survey grouped students by shoe color for PE and art supply ownership. Counts: Black and Owns Colored Pencils: 21; Black and Does Not Own Colored Pencils: 11; White and Owns Colored Pencils: 13; White and Does Not Own Colored Pencils: 15; Gray and Owns Colored Pencils: 23; Gray and Does Not Own Colored Pencils: 16. Which statement is correct?

AAmong White, the rate of Owns Colored Pencils is 46.4%; among Does Not Own Colored Pencils, the rate of Gray is 41.0%.

BAmong White, the rate of Owns Colored Pencils is 46.4%; among Does Not Own Colored Pencils, the rate of Gray is 38.1%.

CAmong White, the rate of Owns Colored Pencils is 53.6%; among Does Not Own Colored Pencils, the rate of Gray is 35.7%.

DAmong White, the rate of Owns Colored Pencils is 22.8%; among Does Not Own Colored Pencils, the rate of Gray is 38.1%.

Solution & Explanation:For the first rate, condition on White, so use the row total 28: 13/28 = 46.4%. For the second rate, condition on Does Not Own Colored Pencils, so use the column total 42: 16/42 = 38.1%.

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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 conditional 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.).