Calculate a fictional response proportion
Calculate a fictional response proportion
About 18 minutes, plus any extended practice
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 responses=16, invitations=20. Divide responses by invitations and multiply by 100. First identify the quantities and keep their units consistent. The calculation is 16/20*100=80 percent response. 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: responses=12, invitations=20. What is the modeled result using the stated method?
- Fictional case 2: responses=15, invitations=25. What is the modeled result using the stated method?
- Fictional case 3: responses=18, invitations=30. What is the modeled result using the stated method?
- Fictional case 4: responses=14, invitations=20. What is the modeled result using the stated method?
- Fictional case 5: responses=24, invitations=40. What is the modeled result using the stated method?
- Fictional case 6: responses=9, invitations=15. What is the modeled result using the stated method?
Learn the idea
A response proportion needs both a count and a denominator. Eight responses can be a large or small share depending on how many invitations were sent. The supplied dataset is fictional outreach for a general health-information workshop, not clinical care.
Divide responses by invitations and multiply by one hundred. Count a person once under the stated rule. A response rate does not explain why people responded or establish that nonresponders lack interest; access barriers can matter.
Use the invented aggregate counts. No actual invitations, personal records or outside response is needed. The result describes the supplied dataset only and must not be presented as a real program result, health improvement or representative population estimate.
- Mark the facts or constraints in the supplied case.
- Apply the method explained above; draw a sequence, table or decision map.
- Compare your result with the worked solution and explain the difference.
- Complete the new cases, then check the changed-case extension.
See the method in action
The separate worked case gives responses=16, invitations=20. Divide responses by invitations and multiply by 100. First identify the quantities and keep their units consistent. The calculation is 16/20*100=80 percent response. 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.
Check your reasoning
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Helpful tips
- A response count is not a proportion until its invitation count is stated.
- A low response does not diagnose motivation or prove a program’s health effects.
See the answer and explanation
60 percent response
Divide responses by invitations and multiply by 100. With responses=12, invitations=20, calculate 12/20*100=60 percent response. Results are rounded to six decimal places where needed. This is a supplied model, not a personal health assessment.
Take it further
Changed case: responses=21, invitations=30. Show the operation. Expected: 21/30*100=70 percent response; round to six decimal places where needed, retain model limits and explain the units.
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More practice: try new cases
Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.
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