Free Printable WorksheetMathGrade 6Math Curriculum6.108

6.108 Determine How Changing a Data Point Affects the Mean and Median Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.108 Determine How Changing a Data Point Affects the Mean and Median. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly describes how the mean or median changes when the data point is added, removed, or changed? (CCSS 6.SP.B.5c; VA 6.PS.2b; FL MA.6.DP.1.6)

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 6.108 Determine How Changing a Data Point Affects the Mean and Median skill assessments:

Problem 1Difficulty: Mastery

A data set has 10 values with mean 6. Two values are changed: one increases by 8 and one decreases by 8. Which statement is true about the mean?

ANot enough information to tell.

BThe mean decreases.

CThe mean increases.

DThe mean stays the same.

Solution & Explanation:The total change is +8 + (-8) = 0, so the mean does not change.

Problem 2Difficulty: Mastery

A data set has 8 values. One value is removed and the median increases. Which statement could be true?

AThe removed value was one of the lower half values.

BThe removed value was the greatest value.

CThe removed value was exactly the old median.

DThe removed value was one of the upper half values.

Solution & Explanation:To make the median move up, you can remove a low value so the middle shifts to a larger value. Removing the greatest value usually does not push the median up.

Problem 3Difficulty: Mastery

Data set (already in order): 1, 4, 4, 4, 8, 9, 10. The 10 is changed to 0. Which statement is true about the median?

AThe median decreases.

BThe median increases.

CNot enough information to tell.

DThe median stays the same.

Solution & Explanation:The median (7 values) is the 4th value, 4. Changing an end value does not change the 4th value.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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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 6.108 (Determine How Changing a Data Point Affects the Mean and Median).