Decision tools built for clarity
Descriptive Statistics Calculator
Summarize a numeric data set with central tendency and dispersion measures.
Enter the required values, select the applicable options, and calculate.
Methodology
Formula or transformation
Derives reviewed descriptive statistics from the submitted finite numeric data set.
Variables
- Submitted values
- Number of values
- Arithmetic mean
- Median
- Mode
- Variance
- Standard deviation
Units
- Dimensionless value
Rounding policy
Decimal statistics are rounded to the declared result scale using half away from zero.
The calculator sorts the values and derives count, sum, mean, median, modes, range, and population and sample variance and deviation.
Summarize a numeric data set with central tendency and dispersion measures.
Reviewed sources
- NIST — Measures of location and scale Reviewed on 2026-09-07
Formula review history
-
Initial formula and source review.
Reviewed 2026-09-07 for formula version nist-descriptive-statistics-v1
Assumptions
- Inputs are interpreted using the displayed units and options.
- The calculation follows the methodology and factors listed in the sources.
Limitations
- Display rounding can hide additional decimal places.
- The calculation cannot add accuracy that is absent from the submitted inputs.
Worked example
For 1, 2, 2, and 4, the mean is 2.25, the median is 2, and the mode is 2.
Frequently asked questions
Are the calculations deterministic?
Yes. The same valid inputs and options produce the same canonical result.
Can I use decimal values?
Use decimal values where the displayed input accepts them.