Descriptive Statistics Calculator
Calculate descriptive statistics, quartiles, modes, variation and IQR outliers with an interactive boxplot.
About this descriptive statistics calculator
Calculate descriptive statistics, quartiles, modes, variation and IQR outliers with an interactive boxplot Computes exact algebraic and numerical metrics directly in your browser using IEEE 754 precision without round-trip latency.
Formula & calculation mechanics
Quartiles use type 7: interpolate the sorted values at index (N−1)p, p=0.25, 0.5, 0.75. Q2 is the median. Population variance divides squared deviations by N; sample variance divides by N−1. The sample variance and standard deviation are undefined when N=1. All equally most frequent values are modes when their frequency exceeds one; otherwise there is no mode. IQR=Q3−Q1. Outliers are strictly below Q1−1.5×IQR or above Q3+1.5×IQR; equality is included. Whiskers end at the most extreme included observations. The five-number summary is min, Q1, median, Q3, max. CV=100×s/mean is shown only for N>1 and mean>0 and is meaningful for ratio-scale measurements with a meaningful zero; it is undefined otherwise. A near-zero mean makes CV unstable. Flags identify unusual observations, not errors to delete automatically.
Worked numerical calculation
Scenario: What should the sample produce?
Sample input:
Processing: Paste the observations using a decimal point. Calculate and compare the metrics, modes and outliers. Inspect the boxplot with the mouse or keyboard; editing or clearing removes the previous result.
Illustrative output:
Domain range & precision boundaries
1–100,000 observations; at most 8,000,000 UTF-16 input characters. Use a decimal point, optionally e notation; commas, whitespace and semicolons are separators, not thousands or decimal marks. Binary64 arithmetic may round or underflow; non-finite intermediate values or results are rejected. No file or usage quota. Runs locally in your browser and works offline after loading. No added calculation dependency, fee, external service or file export.
Calculations in Descriptive Statistics Calculator use standard IEEE 754 precision or exact rational models. Verify significant accounting or tax figures with authoritative references.
In-browser calculation boundary
Formula calculations and numeric evaluations in Descriptive Statistics Calculator run synchronously in the browser JavaScript engine with zero server telemetry.
Mathematical formulas & precision standards
Mathematical constants, IEEE 754 floating-point standards, and numerical analysis specifications:
Descriptive Statistics Calculator verification · Audit standards
How to use it
- Enter, paste, or select your input data into the Descriptive Statistics Calculator workspace controls.
- Review parameter fields, units, or options configured for Descriptive Statistics Calculator.
- Click the action button or observe immediate live calculations rendered by Descriptive Statistics Calculator.
Frequently asked questions
Which quartile and mode conventions are used?+
Operational requirements for "Which quartile and mode conventions are used?" are verified in local memory during execution of Descriptive Statistics Calculator.
How are outliers and variation defined?+
Boundary constraints concerning "How are outliers and variation defined?" prevent invalid parameter state mutations client-side.
What input and numeric limits apply?+
No file or usage quota.
What should the sample produce?+
Security isolation for "What should the sample produce?" ensures zero transmission beyond your local workstation.