Free Printable WorksheetMathGrade 8Math Curriculum6.SP.B.5d

8.173 Summarizing Data with Measures of Variability Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.173 Summarizing Data with Measures of Variability. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.173 Summarizing Data with Measures of Variability - Which measure of variability (range or interquartile range) is computed correctly for the data set? (CCSS 6.SP.B.5d; CA 6.SP.B.5d; MA 6.SP.B.5d)

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

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Below are sample questions representative of the exercises included on this worksheet and related 8.173 Summarizing Data with Measures of Variability skill assessments:

Problem 1Difficulty: Hard

Which ordered pair (range, IQR) is correct for the ordered elevation changes in feet -18, -16, -14, -14, -12, -11, -11, -10, 0, 2, 10, 11?

A(27, 29)

B(22, 15)

C(29, 15)

D(29, 29)

Solution & Explanation:The least value is -18 and the greatest value is 11, so the range is 11 - -18 = 29. Order the data: -18, -16, -14, -14, -12, -11, -11, -10, 0, 2, 10, 11. The lower half is -18, -16, -14, -14, -12, -11, so Q1 = -14. The upper half is -11, -10, 0, 2, 10, 11, so Q3 = 1. The IQR is 1 - -14 = 15.

Problem 2Difficulty: Hard

A frequency table for juice amounts in liters is: 3 occurs 2 times; 6.5 occurs 3 times; 7 occurs 1 time; 10.5 occurs 1 time; 15.5 occurs 1 time. Which ordered pair (range, IQR) is correct after the data are expanded in order?

A(18.5, 13.5)

B(12.5, 4)

C(7.5, 4)

D(12.5, 2.25)

Solution & Explanation:Expand the table to the ordered data 3, 3, 6.5, 6.5, 6.5, 7, 10.5, 15.5. The least value is 3 and the greatest value is 15.5, so the range is 15.5 - 3 = 12.5. Order the data: 3, 3, 6.5, 6.5, 6.5, 7, 10.5, 15.5. The lower half is 3, 3, 6.5, 6.5, so Q1 = 4.75. The upper half is 6.5, 7, 10.5, 15.5, so Q3 = 8.75. The IQR is 8.75 - 4.75 = 4.

Problem 3Difficulty: Hard

Look at the ordered data for morning temperatures in degrees: -20, -18, -18, -17, -14, -4, -3, -2, 4, 7. Miles says the pair (range, IQR) is (24, 9), while Nora says it is (27, 16). Who is correct?

AMiles only

BNora only

CBoth students

DNeither student

Solution & Explanation:The least value is -20 and the greatest value is 7, so the range is 7 - -20 = 27. Order the data: -20, -18, -18, -17, -14, -4, -3, -2, 4, 7. The lower half is -20, -18, -18, -17, -14, so Q1 = -18. The upper half is -4, -3, -2, 4, 7, so Q3 = -2. The IQR is -2 - -18 = 16.

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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 6.SP.B.5d (Primary standard selected for prompt fields: CCSS 6.SP.B.5d. Skill statement: Which measure of variability (range or interquartile range) is computed correctly for the data set? Associated standards listed with this skill: CCSS 6.SP.B.5d; CA 6.SP.B.5d; MA 6.SP.B.5d. Use this embedded wording as the best available supporting standard description for this workflow.).