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Histogram Bin Count Calculator — result sheet
Group raw numeric values into equal-width histogram bins and report counts, relative frequencies, and density values.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Bin index = floor((x−origin)/width); bin count = number of observations in the bin; relative frequency = count/n; density = count/(n×width).
The tool reports the table behind an equal-width histogram. Choosing a different width or origin changes the visual summary, so the result keeps both choices visible and does not pretend that one binning is uniquely correct.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Data values
- Bin width — minimum 1.0E-6; maximum 1000000000
- Bin origin — minimum -1000000000; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Data values | 1, 2, 3, 4, 5, 6, 7, 8 |
| Bin width | 2 |
| Bin origin | 0 |
Bins [0,2), [2,4), [4,6), [6,8), [8,10) have counts 1, 2, 2, 2, 1.
Assumptions and limits
- Values are quantitative observations and the bins are half-open intervals [lower, upper), with the final displayed upper edge included by the table convention.
- All bins have the same positive width and the origin is the lower reference for the bin grid.
- The table summarizes the entered sample; it does not infer a probability distribution or choose an optimal bin-width rule.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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