Freedman–Diaconis Bin Width
Freedman–Diaconis Bin Width with explicit assumptions and reproducible inputs.
Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Quartiles use linear interpolation at (n−1)p. Zero IQR gives no usable rule-based width; choose bins by another documented method.
Example Calculation
- Data: 1, 2, 3, 4, 5, 6, 7, 8
Data1 through8 have IQR3.5, so width=7/2=3.5 and suggested bins2.
Frequently asked questions
How do I use this calculator?
Enter data. The result updates automatically. Use Reset to restore the example values.
What method does it use?
width=2×IQR/n^(1/3); suggested bins=ceil(range/width). Quartiles use linear interpolation at (n−1)p. Zero IQR gives no usable rule-based width; choose bins by another documented method.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.