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IED Unit 4 • Lesson 4.4

Statistics and Measurement Error

Focus question: How can statistics help engineers trust and interpret test results?

Mission Briefing

Today’s Plan

Use this page with the lesson presentation, your engineering notebook, and the tools or evidence assigned for Evaluate Variation and Measurement Error.

Learning Targets

  • Calculate or interpret basic statistics from repeated measurements.
  • Identify sources of measurement error or inconsistent data.
  • Explain how variation affects engineering confidence.

Success Looks Like

You can use mean, range, and variation to decide whether test data are reliable enough to support a conclusion.

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Opening Prompt

How can statistics help engineers trust and interpret test results?

Connect your response to the decision, evidence, or quality standard required for Evaluate Variation and Measurement Error.

Reveal: useful engineering move

This lesson is ready to move forward when the evidence meets this standard: The conclusion distinguishes actual material differences from possible measurement variation.

Core Skill

What We Are Practicing

Key Idea 1

One measurement rarely tells the whole story.

Key Idea 2

Repeated trials help engineers see patterns and outliers.

Key Idea 3

Statistics help separate real performance differences from measurement noise.

Your Task

Evaluate Variation and Measurement Error

Use the material-test data to summarize typical performance, variation, and possible sources of error.

  1. Check the data for missing units or transcription errors.
  2. Calculate the assigned summary statistics.
  3. Identify an outlier or source of measurement uncertainty.
  4. State how confident the team should be in the comparison.

Quality check: The conclusion distinguishes actual material differences from possible measurement variation.

Lesson Interactive

Calculate Mean, Range, and Measurement Error

Analyze repeated measurements instead of relying on a single trial.

Measured Diameter

Data: 9.9, 10.1, 10.2, 10.0, 10.3 mm

Accepted value: 10.0 mm

10.0 mm target
Mean describes the center, range describes spread, and percent error compares the mean with the accepted value.
What You Will Submit

Statistics and Error Analysis

  • One completed statistical summary of the test data.
  • A brief statement identifying the largest source of uncertainty.

Submission standard: The conclusion distinguishes actual material differences from possible measurement variation.

Resources

Lesson Resources

Presentation

Lesson 4.4 PowerPoint

Use the lesson slides for guided practice, interactive checks, and the exit ticket.

Course Hub

Introduction to Engineering Design

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