Example input
2, 4, 4, 4, 5, 5, 7, 9Free browser tool
Descriptive Statistics Calculator
Calculate count, sum, mean, median, mode, quartiles, range, population variance, and sample standard deviation from a list of numbers.
Count
Sum
Mean
Median
Mode
Minimum
Maximum
Range
First quartile
Third quartile
Population variance
Population standard deviation
Sample variance
Sample standard deviation
Population and sample results are different
Population variance divides by n. Sample variance divides by n−1 to estimate variability in a larger population. Quartiles use linear interpolation, so another statistical package may use a different documented convention.
Worked example and guidance
Use Descriptive Statistics Calculator with a checkable example
Expected output
Mean 5; median 4.5; population variance 4For the example above, the output should be read as a descriptive or probabilistic calculation for the values and convention entered. Descriptive Statistics Calculator performs the browser-side transformation or calculation, but the mathematical convention, units, domain, and intended publishing format still come from your problem.
How to use it
- Enter or paste a small known dataset or probability parameters before using a larger real-world example.
- Choose the required options and run Descriptive Statistics Calculator; keep the original input available for comparison.
- Read the result together with its sample definition, distribution parameterization, and rounding, then copy or export only after the check passes.
Useful for
- Checking classroom examples
- Summarizing a small dataset
- Validating an independently derived probability
Limits and checks
- Results do not replace statistical model diagnostics
- Sample and population formulas may differ
- Rounded display values should not be reused as full-precision inputs
Descriptive Statistics Calculator FAQ
Does Descriptive Statistics Calculator upload my input?
No. The published tool runs in the browser. Avoid placing confidential material in share URLs or exported files that you later send elsewhere.
How should I verify a Descriptive Statistics Calculator result?
Start with the worked example, inspect the sample definition, distribution parameterization, and rounding, and compare one result with an independent calculation or representation.
What should I do when the input is rejected?
Reduce the input to the smallest failing dataset or probability parameters, check delimiters and supported syntax, then add the remaining structure back one step at a time.
Next steps
Continue after Descriptive Statistics Calculator
Your inputs stay in this browser. Use a related guide or reference to verify the result and reuse it correctly.
How to Calculate Standard DeviationCalculate population or sample standard deviation from deviations, squared deviations, variance, and the correct denominator.One-Sample t StatisticStandardizes a sample mean when population standard deviation is unknown.σ Population Standard DeviationMeasures the typical spread of values around the population mean.
Maintained reference
How this tool was checked
Tool documentation records what was tested, which sources define compatibility, and where the browser utility stops.
See the editorial and review policy, the source hierarchy, or submit a correction.
Continue this topic
Statistics & Probability Notation
Distinguish samples, populations, random variables, expectations, variation, probability rules, and distributions.