Free Printable WorksheetMathGrade 8Math Curriculum8.SP.A.1

8.167 Choosing Scales and Labels for Data Displays Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.167 Choosing Scales and Labels for Data Displays. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.167 Choosing Scales and Labels for Data Displays - Which set of axis scales and labels is most appropriate for representing the data accurately? (CCSS 8.SP.A.1; CCSS 6.SP.B.4; CA 8.SP.A.1; MA 8.SP.A.1)

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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 8.167 Choosing Scales and Labels for Data Displays skill assessments:

Problem 1Difficulty: Hard
For the data (0.9, 25.3), (1, 22.9), (1.1, 22.2), (1.2, 18.1), (1.4, 16.4), (1.5, 16.1), which graph setup uses the most sensible starting values and interval sizes on both axes when x is Evaporation rate (L/h) and y is Refill time (min)?
Ax-axis: Evaporation rate (L/h) (0.8 to 1.6 by 0.2); y-axis: Refill time (min) (12 to 28 by 4)
Bx-axis: Evaporation rate (L/h) (0.8 to 1.4 by 0.1); y-axis: Refill time (min) (12 to 28 by 2)
Cx-axis: Evaporation rate (L/h) (0 to 3 by 0.2); y-axis: Refill time (min) (0 to 52 by 4)
Dx-axis: Evaporation rate (L/h) (0.8 to 1.6 by 0.1); y-axis: Refill time (min) (12 to 28 by 2)
Solution & Explanation:The x-values run from 0.9 to 1.5, so the x-axis should be labeled Evaporation rate (L/h) and use an equal-interval scale such as 0.8 to 1.6 by 0.1. The y-values run from 16.1 to 25.3, so the y-axis should be labeled Refill time (min) and use 12 to 28 by 2. That setup includes all the data and uses the graph space well.
Problem 2Difficulty: Hard
A student plans to graph the ordered pairs (0.9, 16.1), (1, 21.4), (1.1, 23), (1.2, 23.1), (1.4, 25.8), (1.5, 25.9). Which axis setup is most appropriate if the goal is to show the data clearly without leaving large unused sections of the grid, where x is Container mass (kg) and y is Carry force (N)?
Ax-axis: Container mass (kg) (0 to 3 by 0.2); y-axis: Carry force (N) (0 to 52 by 4)
Bx-axis: Container mass (kg) (0.8 to 1.6 by 0.2); y-axis: Carry force (N) (12 to 28 by 4)
Cx-axis: Container mass (kg) (0.8 to 1.6 by 0.1); y-axis: Carry force (N) (12 to 28 by 2)
Dx-axis: Container mass (kg) (0.8 to 1.4 by 0.1); y-axis: Carry force (N) (12 to 28 by 2)
Solution & Explanation:The x-values run from 0.9 to 1.5, so the x-axis should be labeled Container mass (kg) and use an equal-interval scale such as 0.8 to 1.6 by 0.1. The y-values run from 16.1 to 25.9, so the y-axis should be labeled Carry force (N) and use 12 to 28 by 2. That setup includes all the data and uses the graph space well.
Problem 3Difficulty: Hard
A display should make it easy to compare the relationship between Chemical concentration (mol/L) and Reaction time (s) for the data (0.9, 25.6), (1, 24.9), (1.1, 23.7), (1.2, 21.5), (1.4, 20.6), (1.5, 16.7). Which option uses equal intervals, correct units, and a range just large enough for the data?
Ax-axis: Chemical concentration (mol/L) (0.8 to 1.4 by 0.1); y-axis: Reaction time (s) (12 to 28 by 2)
Bx-axis: Chemical concentration (mol/L) (0.8 to 1.6 by 0.1); y-axis: Reaction time (s) (12 to 28 by 2)
Cx-axis: Chemical concentration (mol/L) (0 to 3 by 0.2); y-axis: Reaction time (s) (0 to 52 by 4)
Dx-axis: Chemical concentration (mol/L) (0.8 to 1.6 by 0.2); y-axis: Reaction time (s) (12 to 28 by 4)
Solution & Explanation:The x-values run from 0.9 to 1.5, so the x-axis should be labeled Chemical concentration (mol/L) and use an equal-interval scale such as 0.8 to 1.6 by 0.1. The y-values run from 16.7 to 25.6, so the y-axis should be labeled Reaction time (s) and use 12 to 28 by 2. That setup includes all the data and uses the graph space well.

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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 8.SP.A.1 (Primary standard selected for prompt fields: CCSS 8.SP.A.1. Skill statement: Which set of axis scales and labels is most appropriate for representing the data accurately? Associated standards listed with this skill: CCSS 8.SP.A.1; CCSS 6.SP.B.4; CA 8.SP.A.1; MA 8.SP.A.1. Use this embedded wording as the best available supporting standard description for this workflow.).

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