Free Printable WorksheetMathGrade 6Math CurriculumCCSS 6.SP.A.1-3

6.98 Create and Interpret Histograms Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.98 Create and Interpret Histograms. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which histogram correctly represents the data, and which statement correctly interprets its distribution? (CCSS 6.SP.A.1-3, 6.SP.B.4-5; CA 6.SP.A.1-3, 6.SP.B.4-5; MA 6.SP.A.1-3, 6.SP.B.4-5; NY NY-6.SP.1-5; TX 19 TAC §111.26(b)(12)-(13); FL MA.6.DP.1.1-1.6; VA 6.PS.2a-c)

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 6

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 6.98 Create and Interpret Histograms skill assessments:

Problem 1Difficulty: Mastery

The data set for total minutes spent on a weekend project is 6, 27, 100, 39, 36, 64, 67, 30, 70, 57, 152, 122, 94, 149, 91, 141, 107, 40, 3, 128, 88, 0, 73, 155, 104, 61, 158, 54, 125, 33, 119, 101. With inclusive intervals 0-19; 20-39; 40-59; 60-79; 80-99; 100-119; 120-139; 140-159, which option correctly represents the histogram and tells what the distribution shows?

AHistogram counts: 0-19: 3; 20-39: 4; 40-59: 3; 60-79: 5; 80-99: 4; 100-119: 5; 120-139: 3; 140-159: 5; statement: Every interval has at least one value, so the data are spread across the whole range.

BHistogram counts: 0-19: 3; 20-39: 5; 40-59: 3; 60-79: 5; 80-99: 3; 100-119: 5; 120-139: 3; 140-159: 5; statement: Every interval has at least one value, so the data are spread across the whole range.

CHistogram counts: 0-19: 3; 20-39: 5; 40-59: 3; 60-79: 5; 80-99: 3; 100-119: 5; 120-139: 3; 140-159: 5; statement: The tallest bar is 0-19, so that interval has the greatest frequency.

DHistogram counts: 0-19: 5; 20-39: 5; 40-59: 3; 60-79: 3; 80-99: 3; 100-119: 5; 120-139: 3; 140-159: 5; statement: The interval 120-139 has no data values, so the graph has a gap.

Solution & Explanation:Counting the values in the inclusive intervals gives 0-19: 3; 20-39: 5; 40-59: 3; 60-79: 5; 80-99: 3; 100-119: 5; 120-139: 3; 140-159: 5. That set of bar frequencies matches the correct histogram. Every interval has at least one value, so the data are spread across the whole range. The other choices either change at least one interval frequency or describe the distribution incorrectly.

Problem 2Difficulty: Mastery

To compare intervals in correct answers in a 60-question review, make a histogram using inclusive intervals 0-9; 10-19; 20-29; 30-39; 40-49; 50-59; 60-69. Data values: 26, 36, 10, 40, 60, 45, 12, 9, 2, 46, 63, 50, 47, 49, 19, 52, 42, 65, 23, 57, 66, 53, 33, 62, 39, 43, 69, 59, 67, 30, 32, 22, 54, 60, 69, 29, 56. Which option is correct?

AHistogram counts: 0-9: 2; 10-19: 3; 20-29: 4; 30-39: 6; 40-49: 7; 50-59: 7; 60-69: 8; statement: Most values are in the higher intervals, with a tail stretching toward smaller values.

BHistogram counts: 0-9: 2; 10-19: 3; 20-29: 4; 30-39: 5; 40-49: 7; 50-59: 7; 60-69: 9; statement: The tallest bar is 30-39, so that interval has the greatest frequency.

CHistogram counts: 0-9: 2; 10-19: 3; 20-29: 4; 30-39: 5; 40-49: 7; 50-59: 7; 60-69: 9; statement: Most values are in the higher intervals, with a tail stretching toward smaller values.

DHistogram counts: 0-9: 2; 10-19: 3; 20-29: 7; 30-39: 5; 40-49: 4; 50-59: 7; 60-69: 9; statement: Most values are in the lower intervals, with a tail stretching toward larger values.

Solution & Explanation:Counting the values in the inclusive intervals gives 0-9: 2; 10-19: 3; 20-29: 4; 30-39: 5; 40-49: 7; 50-59: 7; 60-69: 9. That set of bar frequencies matches the correct histogram. Most values are in the higher intervals, with a tail stretching toward smaller values. The other choices either change at least one interval frequency or describe the distribution incorrectly.

Problem 3Difficulty: Mastery

Count the values for digital quiz completion times in minutes in inclusive intervals 0-4; 5-9; 10-14; 15-19; 20-24; 25-29; 30-34; 35-39. Data: 16, 37, 38, 14, 11, 33, 13, 19, 10, 26, 39, 3, 24, 22, 19, 23, 15, 34, 36, 31, 10, 21, 35, 28, 17, 20, 39, 12, 30, 32, 27, 29, 18, 30. Which choice gives the correct histogram and interpretation?

AHistogram counts: 0-4: 1; 5-9: 0; 10-14: 5; 15-19: 7; 20-24: 5; 25-29: 4; 30-34: 6; 35-39: 6; statement: Most values are in later intervals, with a single low value in 0-4.

BHistogram counts: 0-4: 1; 5-9: 0; 10-14: 6; 15-19: 6; 20-24: 5; 25-29: 4; 30-34: 6; 35-39: 6; statement: The tallest bar is 20-24, so that interval has the greatest frequency.

CHistogram counts: 0-4: 6; 5-9: 0; 10-14: 1; 15-19: 6; 20-24: 5; 25-29: 4; 30-34: 6; 35-39: 6; statement: Most values are in the lower intervals, with a tail stretching toward larger values.

DHistogram counts: 0-4: 1; 5-9: 0; 10-14: 6; 15-19: 6; 20-24: 5; 25-29: 4; 30-34: 6; 35-39: 6; statement: Most values are in later intervals, with a single low value in 0-4.

Solution & Explanation:Counting the values in the inclusive intervals gives 0-4: 1; 5-9: 0; 10-14: 6; 15-19: 6; 20-24: 5; 25-29: 4; 30-34: 6; 35-39: 6. That set of bar frequencies matches the correct histogram. Most values are in later intervals, with a single low value in 0-4. The other choices either change at least one interval frequency or describe the distribution incorrectly.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 6 Math students. It aligns with educational standard CCSS 6.SP.A.1-3 (Create and Interpret Histograms).