THE NUMBERS, EXPLAINED
How to use this calculator.
Partition sizes use one unit; empty partitions remain in the denominator. Heavy means strictly above the supplied multiple of mean.
Start with your inputs
Enter partition data sizes (mb), heavy-partition threshold (multiple of mean). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Partition data sizes (MB) | 10,20,30 |
| Heavy-partition threshold (multiple of mean) | 1.4 |
A worked example
With the example inputs above, mean partition size (mb) is 20. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Mean partition size (MB) | 20 |
| Maximum-to-mean skew ratio | 1.5 |
| Heavy partition row numbers | 3 |
How this is calculated
Mean partition size (MB)
Divide total size by partition count.
Maximum-to-mean skew ratio
Divide maximum partition size by mean.
Heavy partition row numbers
Select partitions strictly above threshold times mean.
Symbols and units
- a
- Partition data sizes (MB)
- b
- Heavy-partition threshold (multiple of mean)
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
Partition sizes use one unit; empty partitions remain in the denominator. Heavy means strictly above the supplied multiple of mean.
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?
Mean partition size (MB); Maximum-to-mean skew ratio; Heavy partition row numbers. 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: Partition sizes use one unit; empty partitions remain in the denominator. Heavy means strictly above the supplied multiple of mean.
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.
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