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POE Unit 4 • Lesson 4.6

Standard Deviation and Design Consistency

Focus question: How can standard deviation distinguish two designs that have the same average performance?

Mission Briefing

Today’s Plan

A focused sequence that advances the mission-performance investigation.

Opening promptConcept modelGuided practiceInteractive applicationEvidence checkExit ticket
Lesson Targets

What You Will Be Able to Do

Learning Target

I can compare the variation of two designs and connect lower standard deviation to greater consistency.

Evidence

Consistency comparison using standard deviation

Success Looks Like

The comparison considers both mean and spread and identifies the more repeatable design.

Activity Flow

How the Lesson Moves

Each step builds the data, motion, or testing reasoning required for today’s deliverable.

1. Compare centers

Determine whether the designs have similar average performance.

2. Compare spread

Calculate or interpret standard deviation.

3. Make the decision

Select the design that best meets consistency requirements.

Lesson Interactive

Choose the More Consistent Design

Apply the lesson concept to a mission-performance scenario. Use the feedback to correct your reasoning before completing the main deliverable.

Two Guidance Designs

Design A: 98, 100, 102, 100, 100 cm
Design B: 90, 96, 100, 104, 110 cm

Both designs have an average of 100 cm.

Compare how tightly each set clusters around the common mean of 100 cm.
Today’s Work

Main Deliverable

Consistency comparison using standard deviation

Create one focused engineering artifact that demonstrates today’s learning.

  • Report the mean and standard deviation for both designs.
  • Write a design recommendation that references consistency and mission requirements.
Exit Ticket

Mission Debrief

1

State the most important data-analysis or motion concept from today in your own words.

2

Name the measurement, calculation, graph feature, or test decision that supports your conclusion.

3

Identify one uncertainty, limitation, or next test that would strengthen the evidence.

Resources

Lesson Resources

Presentation

Lesson 4.6 PowerPoint

Use the presentation to review the lesson concepts, examples, and activity directions.

Course Hub

Principles of Engineering

Return to the POE course hub for units, resources, certifications, and course information.

Unit Investigation

Mission Data Investigation

Use the integrated investigation context when connecting trial design, statistics, kinematics, graphs, and recommendations.