Free Printable WorksheetMathGrade 6Math Curriculum6.101

6.101 Describe Distributions Using Shape, Center, and Spread Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.101 Describe Distributions Using Shape, Center, and Spread. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice best describes the distribution's shape, center, and spread based on the given graph? (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 6.101 Describe Distributions Using Shape, Center, and Spread skill assessments:

Problem 1Difficulty: Mastery

Which choice best describes the distribution's shape, center (median), and spread (IQR)?

AThe distribution is bimodal (two peaks); the median is 12.5; the IQR is 3.

BThe distribution is bimodal (two peaks); the median is 11.5; the IQR is 3.

CThe distribution is approximately symmetric (single peak); the median is 12.5; the IQR is 3.

DThe distribution is bimodal (two peaks); the median is 12.5; the IQR is 7.

Solution & Explanation:First, look at the dot plot’s overall pattern: a long right tail means skewed right, a long left tail means skewed left, balanced sides suggest symmetric, nearly even heights suggest uniform, and two clear peaks suggest bimodal. Next, find the median by counting to the middle data point (or averaging the two middle points). Then find Q1 and Q3 from the lower and upper halves; IQR = Q3 − Q1 = 3. Choose the option that matches the shape, median, and IQR.

Problem 2Difficulty: Mastery

Which choice best describes the distribution's shape, center (median), and spread (IQR)?

AThe distribution is approximately symmetric (single peak); the median is 12; the IQR is 7.

BThe distribution is approximately symmetric (single peak); the median is 12; the IQR is 11.

CThe distribution is approximately symmetric (single peak); the median is 12; the IQR is 9.

DThe distribution is skewed left; the median is 12; the IQR is 7.

Solution & Explanation:First, look at the dot plot’s overall pattern: a long right tail means skewed right, a long left tail means skewed left, balanced sides suggest symmetric, nearly even heights suggest uniform, and two clear peaks suggest bimodal. Next, find the median by counting to the middle data point (or averaging the two middle points). Then find Q1 and Q3 from the lower and upper halves; IQR = Q3 − Q1 = 7. Choose the option that matches the shape, median, and IQR.

Problem 3Difficulty: Mastery

Which choice best describes the distribution's shape, center (median), and spread (IQR)?

AThe distribution is approximately uniform; the median is 12; the IQR is 13.

BThe distribution is approximately uniform; the median is 11; the IQR is 9.

CThe distribution is approximately uniform; the median is 12; the IQR is 9.

DThe distribution is approximately uniform; the median is 12; the IQR is 11.

Solution & Explanation:First, look at the dot plot’s overall pattern: a long right tail means skewed right, a long left tail means skewed left, balanced sides suggest symmetric, nearly even heights suggest uniform, and two clear peaks suggest bimodal. Next, find the median by counting to the middle data point (or averaging the two middle points). Then find Q1 and Q3 from the lower and upper halves; IQR = Q3 − Q1 = 9. Choose the option that matches the shape, median, and IQR.

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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 6.101 (Describe Distributions Using Shape, Center, and Spread).