Free Printable WorksheetMathGrade 7Math Curriculum7.129

7.129 Measures of variability range and interquartile range Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.129 Measures of variability range and interquartile range. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.129 Measures of variability: range and interquartile range - In multiple-choice items, students select the correct range or interquartile range and choose the interpretation that matches the computed spread. (CCSS 7.SP.B.4; FL MA.7.DP.1.1; 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 7.129 Measures of variability range and interquartile range skill assessments:

Problem 1Difficulty: Mastery

Ivy tracked the goals scored per game. Data (in goals): 6, 7, 10, 9, 1, 4, 9, 0, 2, 9, 5. Which option shows the correct range AND a correct interpretation?

AThe range is 3 goals, so every value differs from the next by 3 goals.

BThe range is 10 goals, so every value differs from the next by 10 goals.

CThe range is 11 goals, so the largest value is 11 goals more than the smallest value.

DThe range is 10 goals, so the largest value is 10 goals more than the smallest value.

Solution & Explanation:Find the smallest and largest values. Smallest = 0 goals, largest = 10 goals. Range = 10 − 0 = 10 goals. The option that states this correctly is D.

Problem 2Difficulty: Mastery

Maya listed the decimal numbers on a math drill. Data (in numbers): 7.5, 6.5, 19.5, 2.5, 6.5, 4.5, 7.5, 14.5, 9.5, 2.5, 17.5, 19.5, 7.5, 16.5. (If there is a middle value, do not include it in either half.) Which option shows the correct IQR AND a correct interpretation?

AThe IQR is 20 numbers, meaning all the data values are within 20 numbers of the mean.

BThe IQR is 10 numbers, meaning exactly 75% of the data are 10 numbers.

CThe IQR is 10 numbers, meaning the middle 50% of the data are spread across 10 numbers.

DThe IQR is 8 numbers, meaning the middle 50% of the data are spread across 8 numbers.

Solution & Explanation:Order the data. Q1 is the median of the lower half and Q3 is the median of the upper half. Q1 = 6.5 numbers, Q3 = 16.5 numbers. IQR = Q3 − Q1 = 16.5 − 6.5 = 10 numbers. The correct interpretation talks about the middle 50%, so the best choice is C.

Problem 3Difficulty: Mastery

Noah tracked the practice kicks made. Data (in kicks): 28, 22, 23, 30, 22, 13, 15, 27, 28, 22. Which option shows the correct range AND a correct interpretation?

AThe range is 24 kicks, so the largest value is 24 kicks more than the smallest value.

BThe range is 17 kicks, so the largest value is 17 kicks more than the smallest value.

CThe range is 17 kicks, so most values are 17 kicks from the median.

DThe range is 9 kicks, so 9 kicks is the median of the data.

Solution & Explanation:Find the smallest and largest values. Smallest = 13 kicks, largest = 30 kicks. Range = 30 − 13 = 17 kicks. The option that states this correctly is B.

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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 7 Math students. It aligns with educational standard 7.129 (Practice and review Grade 7 math skill 7.129: Measures of Variability Range and Interquartile Range.).