Free Printable WorksheetMathAlgebra IMath CurriculumS-ID.1–3

ALG1.121 Compare Distributions and Identify Outliers Answer Key Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.121 Compare Distributions and Identify Outliers Answer Key. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.121 Compare Distributions and Identify Outliers - Choose the comparison that correctly describes two distributions using measures of center and variability; Identify outliers and describe their effect on summaries. (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 ALG1.121 Compare Distributions and Identify Outliers Answer Key skill assessments:

Problem 1Difficulty: Mastery
Commute times in minutes are Morning: 18, 19, 20, 21, 22, 23 and Afternoon: 16, 18, 20, 22, 24, 42. Which comparison is correct?
AAfternoon has a slightly higher median and a much larger range; the high value 42 pulls its mean upward.
BThe distributions have the same mean and range.
CAfternoon has a lower median because 42 is high.
DMorning has the larger range and a high outlier at 23.
Solution & Explanation:Morning has median 20.5, mean 20.5, and range 5. Afternoon has median 21, mean about 23.7, and range 26 because 42 is a high outlier.
Problem 2Difficulty: Mastery
Use the histograms for Distribution A and Distribution B. Which statement is most accurate?
AThe distributions must be identical because both center near 20.
BDistribution A has two separate clusters, while Distribution B has one cluster.
CDistribution B has no variability because its clusters balance.
DThe distributions can have the same mean, but Distribution B is more spread out and bimodal.
Solution & Explanation:Distribution A is clustered around 20. Distribution B has two clusters, one near 10 and one near 30, so it can balance to the same mean while having a very different shape and larger spread.
Problem 3Difficulty: Mastery
Two classes have the same mean of 75 and the same median of 76. Class A has range 10, while Class B has range 35 because of one low score. Which comparison is best?
AThe classes must have identical distributions because their means match.
BThe classes have similar centers, but Class B has greater variability due to the low score.
CClass B has a higher typical score because its range is larger.
DClass A has the low outlier because its range is smaller.
Solution & Explanation:The equal mean and median indicate similar centers. The much larger range for Class B shows more variability caused by the low score.

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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 the comparison that correctly describes two distributions using measures of center and variability; Identify outliers and describe their effect on summaries. 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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