Free Printable WorksheetMathGrade 7Math Curriculum7.131

7.131 Comparing two data sets by center and spread Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.131 Comparing two data sets by center and spread. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.131 Comparing two data sets by center and spread - In multiple-choice items, students select which group has a higher typical value or greater variability and choose evidence from centers and spreads. (CCSS 7.SP.B.3; CCSS 7.SP.B.4; FL MA.7.DP.1.2; TX 7.12(A))

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 7

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 7.131 Comparing two data sets by center and spread skill assessments:

Problem 1Difficulty: Mastery

Which statement is true? Use median for typical value and IQR for variability.

AGold Panthers has a higher median and a smaller IQR than Silver Lions.

BSilver Lions has a higher median and a larger IQR than Gold Panthers.

CSilver Lions has a higher median and a smaller IQR than Gold Panthers.

DGold Panthers has a higher median and a larger IQR than Silver Lions.

Solution & Explanation:Compute both measures. Medians: Gold Panthers = 71.5, Silver Lions = 35. IQRs (Q3 - Q1): Gold Panthers has Q1 = 51, Q3 = 80, so IQR = 29; Silver Lions has Q1 = 17, Q3 = 55, so IQR = 38. The only true statement matches the larger median and the larger/smaller IQR.

Problem 2Difficulty: Mastery

Which statement is true? Use median for typical value and IQR for variability.

AMaroon Sharks has a higher median and a larger IQR than Gold Bears.

BGold Bears has a higher median and a smaller IQR than Maroon Sharks.

CMaroon Sharks has a higher median and a smaller IQR than Gold Bears.

DGold Bears has a higher median and a larger IQR than Maroon Sharks.

Solution & Explanation:Compute both measures. Medians: Gold Bears = 43, Maroon Sharks = 40.0. IQRs (Q3 - Q1): Gold Bears has Q1 = 15, Q3 = 71, so IQR = 56; Maroon Sharks has Q1 = 19.5, Q3 = 57.5, so IQR = 38.0. The only true statement matches the larger median and the larger/smaller IQR.

Problem 3Difficulty: Mastery

Which group shows greater variability? Choose the best evidence using interquartile range (IQR).

AGray Bears, because its interquartile range is 47 while the other group's interquartile range is 33.

BPeriod 5, because its median is 51 while the other group's median is 31.0.

CPeriod 5, because its interquartile range is 47 while the other group's interquartile range is 33.

DPeriod 5, because its range is 60 while the other group's range is 77.

Solution & Explanation:To find IQR, sort each set, find Q1 and Q3, then subtract: IQR = Q3 - Q1. For Period 5, Q1 = 18, Q3 = 65, so IQR = 47. For Gray Bears, Q1 = 12, Q3 = 45, so IQR = 33. The larger IQR means more variability, so Period 5 is more spread out in the middle 50%.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.131 (Practice and review Grade 7 math skill 7.131: Comparing Two Data Sets by Center and Spread.).