Free Printable WorksheetMathAlgebra IMath CurriculumS-ID.1–3

ALG1.120 Display One Variable Data and Describe Distributions Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.120 Display One Variable Data and Describe Distributions. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.120 Display One-Variable Data and Describe Distributions - Choose appropriate plots (dot plot, histogram, box plot) to display one-variable data; Select the description that correctly explains center, spread, and shape using correct statistical language. (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 ALG1.120 Display One Variable Data and Describe Distributions skill assessments:

Problem 1Difficulty: Mastery
For a large continuous data set, which statement best describes appropriate display choices?
AA dot plot is always best for 10,000 decimal measurements because it shows less detail
BA box plot is the only display that can show exact repeated values
CA scatter plot should replace all one-variable data displays
DA histogram with sensible equal-width intervals is usually better than a dot plot for overall shape, while a box plot is useful for median and quartiles
Solution & Explanation:Large continuous data sets are usually clearer in histograms for shape, while box plots summarize median, quartiles, and spread.
Problem 2Difficulty: Mastery
A student writes a final summary: 'The box plot shows the data are bimodal, the median is the range, and the histogram gives every exact value.' Which revision is strongest?
AUse the box plot to list every value and the histogram to find the exact quartiles
BKeep the summary because all three statements are correct
CUse the histogram to discuss shape, use the box plot for median and IQR, and remember that histograms may hide exact values
DRemove all references to center, spread, and shape
Solution & Explanation:The revision uses each display appropriately: histograms help with shape, box plots help with median and IQR, and histograms may not show exact values.
Problem 3Difficulty: Mastery
Use the planned histogram with interval counts 10-19: 3, 20-29: 3, 30-39: 3, and 40-49: 3. Which description is best?
AThe distribution is skewed right because the intervals increase
BThe distribution is approximately uniform across the displayed intervals
CThe distribution has a single peak at 30-39
DThe exact median must be 30
Solution & Explanation:All four intervals have the same count, so the histogram is approximately uniform across those intervals.

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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 appropriate plots (dot plot, histogram, box plot) to display one-variable data; Select the description that correctly explains center, spread, and shape using correct statistical language. 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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