Free Printable WorksheetMathGrade 6Math Curriculum6.105

6.105 Identify Outliers and Describe Their Effects on Center and Spread Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.105 Identify Outliers and Describe Their Effects on Center and Spread. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly identifies the outlier and predicts how it affects the mean or median? (CCSS 6.SP.B.5c-d; CA 6.SP.B.5c-d; MA 6.SP.B.5c-d; NY NY-6.SP.5c-d; FL MA.6.DP.1.6; VA 6.PS.2c)

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 6.105 Identify Outliers and Describe Their Effects on Center and Spread skill assessments:

Problem 1Difficulty: Mastery

Beekeeper counted pages read each day (pages). Ordered data: 12, 40, 40, 40, 40, 40, 42, 42, 44, 45, 48. By the 1.5×IQR rule, identify the outlier and predict the effect of removing it on the mean and on the range.

A44; removing it makes the mean increases and the IQR stays the same.

B12; removing it makes the mean increases and the IQR stays the same.

C12; removing it makes the mean decreases and the IQR stays the same.

D12; removing it makes the mean increases and the IQR changes.

Solution & Explanation:By the 1.5×IQR rule, 12 lies beyond the fences, so it is an outlier. Removing an extreme outlier pulls the mean back toward the center and usually shrinks the range much more than it changes the IQR.

Problem 2Difficulty: Mastery

Florist measured the durations of phone calls (min). Ordered data: 4, 4, 5, 9, 10, 11, 11, 11, 11, 12, 46. By the 1.5×IQR rule, identify the outlier and predict the effect of removing it on the mean and on the range.

A46; removing it makes the mean decreases and the IQR stays the same.

B11; removing it makes the mean decreases and the IQR stays the same.

C46; removing it makes the mean increases and the IQR stays the same.

D46; removing it makes the mean decreases and the IQR changes.

Solution & Explanation:By the 1.5×IQR rule, 46 lies beyond the fences, so it is an outlier. Removing an extreme outlier pulls the mean back toward the center and usually shrinks the range much more than it changes the IQR.

Problem 3Difficulty: Mastery

Robotics mentor tracked the number of steps during recess (steps). Data (already in order): 3690, 3691, 3693, 3693, 3694, 3694, 3697, 3697, 3697, 3697, 3757. Use the 1.5×IQR rule. (Find Q1 and Q3 as the medians of the lower and upper halves; exclude the overall median.) Which value is an outlier, and what happens to the mean and the range if that outlier is removed?

A3694; removing it makes the mean decreases and the IQR stays the same.

B3757; removing it makes the mean increases and the IQR stays the same.

C3757; removing it makes the mean decreases and the IQR changes.

D3757; removing it makes the mean decreases and the IQR stays the same.

Solution & Explanation:By the 1.5×IQR rule, 3757 lies beyond the fences, so it is an outlier. Removing an extreme outlier pulls the mean back toward the center and usually shrinks the range much more than it changes the IQR.

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Frequently Asked Questions

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QHow do I download and print this 6.105 Identify Outliers and Describe Their Effects on Center and Spread 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 6.105 (Identify Outliers and Describe Their Effects on Center and Spread).