Free Printable WorksheetMathGrade 6Math Curriculum6.107

6.107 Compare Two Data Distributions Using Center and Variation Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.107 Compare Two Data Distributions Using Center and Variation. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly compares the two distributions using center and spread and is supported by the graphs or summaries? (CCSS 6.SP.A.1-3, 6.SP.B.4-5; CA 6.SP.A.1-3, 6.SP.B.4-5; MA 6.SP.A.1-3, 6.SP.B.4-5; NY NY-6.SP.1-5; TX 19 TAC §111.26(b)(12)-(13); FL MA.6.DP.1.1-1.6; VA 6.PS.2a-c)

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 6

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 6.107 Compare Two Data Distributions Using Center and Variation skill assessments:

Problem 1Difficulty: Mastery

Gold Panthers and Orange Ravens recorded the minutes to organize a locker. Gold Panthers data: 5, 8, 10, 10, 33, 41, 41, 44, 47, 63, 67, 75. Orange Ravens data: 19, 19, 30, 31, 34, 43, 47, 53, 61, 65, 71, 75. Compute (median of Gold Panthers minus median of Orange Ravens) + (IQR of Gold Panthers minus IQR of Orange Ravens).

Solution & Explanation:Median(Gold Panthers) = 41 and median(Orange Ravens) = 45, so median difference = -4. IQR(Gold Panthers) = 45 and IQR(Orange Ravens) = 32.5, so IQR difference = 12.5. Add them: -4 + 12.5 = 8.5.

Problem 2Difficulty: Mastery

Gold Lions and Orange Koalas recorded the distance (meters) of frisbee throws. Gold Lions data: 13, 13, 16, 23, 23, 23, 23, 33, 35, 41, 48, 71. Orange Koalas data: 15, 23, 37, 37, 53, 55, 56, 59, 61, 63, 76, 78. Compute (median of Gold Lions minus median of Orange Koalas) + (IQR of Gold Lions minus IQR of Orange Koalas).

Solution & Explanation:Median(Gold Lions) = 23 and median(Orange Koalas) = 55.5, so median difference = -32.5. IQR(Gold Lions) = 18.5 and IQR(Orange Koalas) = 25, so IQR difference = -6.5. Add them: -32.5 + -6.5 = -39.

Problem 3Difficulty: Mastery

Gold Hawks and Orange Pumas recorded the minutes to complete a science station. Gold Hawks data: 8, 18, 21, 22, 23, 27, 35, 39, 42, 46, 50, 66. Orange Pumas data: 5, 9, 10, 14, 37, 37, 48, 48, 54, 60, 67, 79. Compute (median of Gold Hawks minus median of Orange Pumas) + (IQR of Gold Hawks minus IQR of Orange Pumas).

Solution & Explanation:Median(Gold Hawks) = 31 and median(Orange Pumas) = 42.5, so median difference = -11.5. IQR(Gold Hawks) = 22.5 and IQR(Orange Pumas) = 45, so IQR difference = -22.5. Add them: -11.5 + -22.5 = -34.

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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 6 Math students. It aligns with educational standard 6.107 (Compare Two Data Distributions Using Center and Variation).