Free Printable WorksheetMathGrade 7Math Curriculum7.121

7.121 Populations, samples, and random sampling Worksheet

Download our free printable Grade 7 Math worksheet on 7.121 Populations, samples, and random sampling. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.121 Populations, samples, and random sampling. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.121 Populations, samples, and random sampling - In multiple-choice items, students choose the population and sample in a scenario and select which sampling method is most likely to be unbiased. (CCSS 7.SP.A.1; CCSS 7.SP.A.2; FL MA.7.DP.1.3; TX 7.12(B); VA 7.PS.2)

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 7

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 7.121 Populations, samples, and random sampling skill assessments:

Problem 1Difficulty: Mastery

A town wants to know the percent of households with a dog. They mail surveys to randomly selected households, but only households with dogs tend to return the survey because they find it interesting. What kind of bias is this?

Acluster sampling bias

Bundercoverage bias

Cnonresponse bias, because responding is related to having a dog

Drandom sampling bias

Solution & Explanation:If households without dogs are less likely to respond, the responses over-represent dog owners. That is nonresponse bias because response depends on the trait being measured.

Problem 2Difficulty: Mastery

A teacher wants to know the percent of students who prefer online textbooks. She surveys 200 students, but she chooses 150 students who are in technology electives and 50 from other classes. What is the best fix if she wants an unbiased sample of the school?

ASurvey only technology elective students because they use devices.

BIncrease the sample to 500 technology elective students.

CRandomly select students from the full roster (or sample proportionally from different course types) instead of over-sampling one elective group.

DSurvey only students with the highest grades.

Solution & Explanation:Over-sampling technology elective students can bias results. Random selection from the full roster (or proportional sampling across groups) better represents the school.

Problem 3Difficulty: Mastery

A city wants to estimate the average number of minutes people wait at the DMV. They sample only people who come on weekdays. What population can they make conclusions about?

Apeople who visit the DMV on weekdays

Ball DMV visitors, including weekends

Call city residents

Donly DMV employees

Solution & Explanation:Because weekend visitors are not included, the sample best represents weekday visitors. Extending conclusions to weekend visitors may be invalid.

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Frequently Asked Questions

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QIs this 7.121 Populations, samples, and random sampling worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.121 (Practice and review Grade 7 math skill 7.121: Populations, samples, and Random Sampling.).