Free Printable WorksheetMathGrade 6Math Curriculum6.106

6.106 Choose Appropriate Measures of Center and Variation for a Data Set Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.106 Choose Appropriate Measures of Center and Variation for a Data Set. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice selects the best measure of center and variability for the data and gives a correct reason? (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 6.106 Choose Appropriate Measures of Center and Variation for a Data Set skill assessments:

Problem 1Difficulty: Mastery

Two gardens compared plant heights (in centimeters). Neither garden has outliers, so using all values makes sense. Data: Garden A: 10, 11, 12, 13, 14, 15 | Garden B: 9, 10, 11, 12, 13, 14 Which choice gives the best measure of center AND the best measure of variability for the data, and gives a correct reason?

AMedian and IQR, because the IQR is always best no matter what

BMean and range, because the range is the best measure of typical variation

CMode and range, because the mode gives the most typical plant height

DMean and MAD, because there are no outliers, so comparing means and MADs summarizes typical height and typical variation for both gardens

Solution & Explanation:The correct choice is D. Choose Mean and MAD because there are no outliers, so comparing means and MADs summarizes typical height and typical variation for both gardens.

Problem 2Difficulty: Mastery

A bus company recorded how many students rode a bus each morning. The company wants the most common rider count. Data: 18, 18, 18, 19, 19, 20, 21, 22 Which choice gives the best measure of center AND the best measure of variability for the data, and gives a correct reason?

AMean and MAD, because the mean is the most frequent rider count

BMode and range, because the company wants the most frequent rider count, and the range shows the spread from lowest to highest

CMedian and IQR, because the median is the most frequent rider count

DMean and range, because the range measures typical distance from the mean

Solution & Explanation:The correct choice is B. Choose Mode and range because the company wants the most frequent rider count, and the range shows the spread from lowest to highest.

Problem 3Difficulty: Mastery

A teacher recorded how many points students earned on an 8-question quiz. Data: 20, 21, 21, 22, 22, 23, 23, 24 What number best represents a typical score? Enter the value of the mean or median that best represents the data.

Solution & Explanation:The data do not have a value far from the others, so the mean is a good measure of center because it uses every value. The mean is 22.

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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 6.106 (Choose Appropriate Measures of Center and Variation for a Data Set).