Free Printable WorksheetMathGrade 6Math Curriculum6.102

6.102 Find Mean and Interpret as Fair Share and Balance Point Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.102 Find Mean and Interpret as Fair Share and Balance Point. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly calculates the mean and identifies its interpretation as fair share or balance point? (CCSS 6.SP.B.5c; CA 6.SP.B.5c; MA 6.SP.B.5c; NY NY-6.SP.5c; VA 6.PS.2a)

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 6.102 Find Mean and Interpret as Fair Share and Balance Point skill assessments:

Problem 1Difficulty: Mastery

The daily rainfall amounts (mm) data are summarized. Values: 10, 20, 30, 40, 50 Frequencies: 1, 1, 2, 3, 3

Which choice gives the mean and its balance-point meaning?

AMean = 36; if shared equally, each would get 36.

BMean = 36; it is the balance point on a number line.

CMean = 30; because you remove the largest group.

DMean = 30; because you divide by 12.

Solution & Explanation:Compute a weighted mean: multiply each value by its frequency and add. Total = 360 and total count = 10. Mean = 360 ÷ 10 = 36. This mean is the balance point on a number line.

Problem 2Difficulty: Mastery

12 friends have apples picked counts listed below. Data: 3, -11.5, -2, 37, 17, 10, 39, 39, -3.5, 12, 0.5, 9

Which choice correctly finds the mean and explains it as a fair share?

AMean = 12.46; if the total were shared equally, each friend would have 12.46.

BMean = 11.5; because you divide by 13 friends.

CMean = 13.59; because you divide by 11 people.

DMean = 9.5; so everyone would get 9.5 after sharing.

Solution & Explanation:Compute the mean: sum the 12 values and divide by 12. Sum = 149.5, and 149.5 ÷ 12 = 12.46. The mean is the fair share, meaning everyone would have 12.46 if the total were shared equally.

Problem 3Difficulty: Mastery

A class tracked craft beads used per bracelet (tens) and summarized results. Values: 2, 4, 6, 8 Frequencies: 2, 3, 4, 1

Which choice gives the mean and its fair-share meaning?

AMean = 4.8; if shared equally, the fair share is 4.8.

BMean = 4.8; it is the balance point on a number line.

CMean = 4.89; because you ignore one group.

DMean = 5; so the fair share is 5.

Solution & Explanation:Compute a weighted mean: multiply each value by its frequency and add. Total = 48 and total count = 10. Mean = 48 ÷ 10 = 4.8. As a fair share, everyone would have 4.8.

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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 6.102 (Find Mean and Interpret as Fair Share and Balance Point).