Measures of Center and Spread Printable Worksheet | Grade 6

This statistics worksheet helps students master measures of center and spread by organizing definitions, calculation methods, and real-world applications into one clear framework. Students calculate mean, median, mode, range, and quartiles using a provided data set, building a strong foundation for advanced data analysis and statistical reasoning.

At a Glance

• Grade: 6 · Subject: Math
• Standard: CCSS.MATH.CONTENT.6.SP.A.3 — Summarize numerical data sets using measures of center and variation.
• Skill Focus: Measures of Center and Spread
• Format: 2 pages · 8 problems · Answer key included · PDF
• Best For: Graphic organizer and guided practice
• Time: 15–20 minutes

This resource includes a one-page graphic organizer table and a complete answer key. The table features eight rows covering mean, median, mode, minimum, maximum, range, lower quartile, and upper quartile. Students fill in the definition, calculation steps, an example calculation using a provided 12-number data set, and guidelines on when to report each specific measure.

• Guided practice: Teachers can model the first two rows (mean and median), demonstrating how to extract definitions and apply the formula to the sample data set.
• Supported practice: Students work in pairs to complete the mode, minimum, maximum, and range sections, using peer support to verify their calculations.
• Independent practice: Learners tackle the lower and upper quartiles individually, applying their understanding of data splitting.

This structure follows a gradual-release model, moving from direct instruction to independent mastery.

Aligned to CCSS.MATH.CONTENT.6.SP.A.3: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. It also supports calculating quantitative measures of center and variability. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

Deploy this graphic organizer during direct instruction as a guided notes template, or assign it after a lesson as a structured review activity. It takes approximately 15 to 20 minutes to complete. As a formative assessment tip, observe students while they calculate the median and quartiles; ensure they remember to order the data set from least to greatest before finding the middle values, as this is a common point of error.

This resource is designed for sixth-grade math students learning introductory statistics. The structured table format provides excellent scaffolding for visual learners and students who need help organizing multi-step mathematical processes. It pairs perfectly with an anchor chart displaying the definitions of mean, median, mode, and range.

Research from EdReports 2024 highlights the critical importance of structured graphic organizers in helping middle school students conceptualize abstract statistical concepts. When students summarize numerical data sets using measures of center and variation, as outlined in CCSS.MATH.CONTENT.6.SP.A.3, they develop essential data literacy skills required for higher-level mathematics and real-world problem solving. Explicitly connecting the definition, calculation method, and practical application of each statistical measure reduces cognitive load and significantly improves long-term retention. By using a single, consistent data set to calculate all measures within one unified table, students can clearly see how different statistical tools interpret the exact same numbers. This comparative approach reinforces the unique purpose of each measure of center and spread, ensuring students understand not just how to calculate the numbers, but when to apply them in practical scenarios.