Find the mean signed offset

Supplied materials

• Paper or a text document; all cases below are original fictional learning inputs.
• An adult may read aloud; drawing or spoken answers are valid. No personal health information or physical performance is required.
• The separate worked case gives offset 1=3, offset 2=-3, offset 3=0. Add the three signed offsets and divide by 3. First identify the quantities and keep their units consistent. The calculation is (3+(-3)+(0))/3=0 grid units mean offset. Round to six decimal places where needed. That result answers this supplied planning question only. It does not establish what a real person did, diagnose a condition or prove physical skill. Compare the units with the question before accepting a number.
• Fictional case 1: offset 1=2, offset 2=4, offset 3=3. What is the modeled result using the stated method?
• Fictional case 2: offset 1=-2, offset 2=-4, offset 3=-3. What is the modeled result using the stated method?
• Fictional case 3: offset 1=-3, offset 2=0, offset 3=3. What is the modeled result using the stated method?
• Fictional case 4: offset 1=1, offset 2=2, offset 3=3. What is the modeled result using the stated method?
• Fictional case 5: offset 1=-1, offset 2=-2, offset 3=-3. What is the modeled result using the stated method?
• Fictional case 6: offset 1=-2, offset 2=1, offset 3=4. What is the modeled result using the stated method?

Learn the idea

A mean signed offset averages direction as well as size. In a number-line model, positive is right and negative is left. Opposite offsets can cancel, so a mean of zero does not mean every result hit the target.

Add the three signed offsets, then divide by three. Show the sum before the average. Keep each individual value for interpreting spread. This is descriptive arithmetic, not evidence of a cause or a diagnosis.

Use supplied paper endpoints. No physical trial is needed. The calculated mean describes these three records only. A movement instructor would need other evidence and safe practical assessment before making claims about a real learner’s skills.

1. Mark the facts or constraints in the supplied case.
2. Apply the method explained above; draw a sequence, table or decision map.
3. Compare your result with the worked solution and explain the difference.
4. Complete the new cases, then check the changed-case extension.

Check your reasoning

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Take it further

Changed case: offset 1=2, offset 2=2, offset 3=5. Show the operation. Expected: (2+(2)+(5))/3=3 grid units mean offset; round to six decimal places where needed, retain model limits and explain the units.

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