Free Printable WorksheetMathAlgebra IMath CurriculumS-ID.1–3

ALG1.126 Choose Measures of Center and Variation Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.126 Choose Measures of Center and Variation. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.126 Choose Measures of Center and Variation - Choose mean or median and an appropriate measure of spread (IQR or standard deviation) based on distribution shape; Select the statement that correctly interprets the chosen measures in context. (CCSS: S-ID.1–3; TEKS: §111.39(b)(3), course emphasis; VA SOL: A.ST.1 a–c (data cycle emphasis in A1); FL B.E.S.T.: MA.912.DP.1.1; NY-NGLS: AI-S.ID.1–3; CA CCSSM: S-ID.1–3; MA 2017: HS.S-ID.1–3; DoDEA CCRSM; NAEP: Data Analysis and Probability; NCTM P2A: Practices 1, 3.)

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

Algebra I

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 ALG1.126 Choose Measures of Center and Variation skill assessments:

Problem 1Difficulty: Mastery
Data Set A is 12, 13, 14, 15, 16, 17, and 18. Data Set B is 12, 13, 14, 15, 16, 17, and 60. Which final report is best?
AA: use mean and standard deviation because it is symmetric; B: use median 15 and IQR 4 because 60 is a high outlier
BA and B: use mean and standard deviation because both have seven values
CA and B: use median and range because both have median 15
DA: use median and IQR because it is symmetric; B: use mean and standard deviation because 60 increases the range
Solution & Explanation:Set A is symmetric, so mean and standard deviation fit. In Set B, 60 is far above the other values; the median is 15, Q1 is 13, Q3 is 17, and IQR is 4.
Problem 2Difficulty: Mastery
Use the planned histogram of delivery delays. Most delays are between 0 and 10 minutes, there is a gap, and one bar appears near 45 minutes. Which measures and interpretation are best?
AMean and standard deviation; the 45-minute delay makes the distribution symmetric
BMean and range; the range describes the typical delay
CMedian and standard deviation; the median is pulled toward the 45-minute delay
DMedian and IQR; the median represents a typical delay and the IQR describes the middle-half spread without being pulled by the 45-minute delay
Solution & Explanation:The histogram has a high outlier and right skew. Median and IQR resist that extreme delay and better describe typical delays.
Problem 3Difficulty: Mastery
A data set has mean equal to median. A student concludes that mean and standard deviation must be the best summary. Which response is most accurate?
AStandard deviation becomes the same number as IQR when centers match
BCheck the full shape first; equal center values do not rule out outliers or unusual spread
CThe student is always correct whenever mean equals median
DMedian and IQR are impossible when mean equals median
Solution & Explanation:Mean and median being equal is helpful, but it does not guarantee that the distribution has no outliers or that standard deviation is the best spread measure.

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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 Algebra I Math students. It aligns with educational standard S-ID.1–3 (Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.1–3. Skill statement in this prompt cell: Choose mean or median and an appropriate measure of spread (IQR or standard deviation) based on distribution shape; Select the statement that correctly interprets the chosen measures in context. Associated standards listed with this skill in the curriculum source: CCSS: S-ID.1–3; TEKS: §111.39(b)(3), course emphasis; VA SOL: A.ST.1 a–c (data cycle emphasis in A1); FL B.E.S.T.: MA.912.DP.1.1; NY-NGLS: AI-S.ID.1–3; CA CCSSM: S-ID.1–3; MA 2017: HS.S-ID.1–3; DoDEA CCRSM; NAEP: Data Analysis and Probability; NCTM P2A: Practices 1, 3. Use this prompt-provided wording as the supporting standard description for this workflow.).

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