THE NUMBERS, EXPLAINED
How to use this calculator.
Events may repeat within a participant; affected-participant prevalence and events per participant have different denominators. Categories must be mutually exclusive for the event total.
Start with your inputs
Enter deviation events by predefined category (counts), participants observed (count), participants with any deviation (count). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Deviation events by predefined category (counts) | 2,3 |
| Participants observed (count) | 20 |
| Participants with any deviation (count) | 4 |
A worked example
With the example inputs above, total deviation events (count) is 5. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Total deviation events (count) | 5 |
| Events per 100 participants | 25 |
| Participants with deviations (%) | 20 |
How this is calculated
Total deviation events (count)
Sum category event counts.
Events per 100 participants
Divide events by observed participants and multiply by 100.
Participants with deviations (%)
Divide affected unique participants by all participants.
Symbols and units
- a
- Deviation events by predefined category (counts)
- b
- Participants observed (count)
- c
- Participants with any deviation (count)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions and limits
Events may repeat within a participant; affected-participant prevalence and events per participant have different denominators. Categories must be mutually exclusive for the event total.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Total deviation events (count); Events per 100 participants; Participants with deviations (%). The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Events may repeat within a participant; affected-participant prevalence and events per participant have different denominators. Categories must be mutually exclusive for the event total.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
OpenStax Prealgebra 2e — arithmetic and proportions ↗
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
Read the quality report →