THE NUMBERS, EXPLAINED
How to use this calculator.
Each observation represents the supplied interval without interpolation. Bands are user-chosen; no preservation or health recommendation.
Start with your inputs
Enter humidity observations (%), hours represented by each reading, chosen lower bound (%), chosen upper bound (%). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Humidity observations (%) | 40,55,70 |
| Hours represented by each reading | 2,3,1 |
| Chosen lower bound (%) | 45 |
| Chosen upper bound (%) | 65 |
A worked example
With the example inputs above, observed hours is 6. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Observed hours | 6 |
| Hours inside chosen band | 3 |
| Hours outside chosen band | 3 |
How this is calculated
Observed hours
Add represented interval durations.
Hours inside chosen band
Sum durations whose readings lie within inclusive bounds.
Hours outside chosen band
Sum durations outside the bounds.
Symbols and units
- a
- Humidity observations (%)
- b
- Hours represented by each reading
- c
- Chosen lower bound (%)
- d
- Chosen upper bound (%)
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
Each observation represents the supplied interval without interpolation. Bands are user-chosen; no preservation or health recommendation.
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?
Observed hours; Hours inside chosen band; Hours outside chosen band. 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: Each observation represents the supplied interval without interpolation. Bands are user-chosen; no preservation or health recommendation.
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: Solve proportions and their applications ↗
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 →