📊 Descriptive Statistics Calculator

Paste your dataset, choose the quartile method, and instantly compute key descriptive statistics: mean, median, mode, quartiles, range, variance, standard deviation, coefficient of variation, skewness, and kurtosis. Designed for mobile-first analysis with built-in accessibility.

Dataset Input

Numbers only • Supports comma, space, or newline

Observations *

Enter at least 2 numbers. Accepts comma, space, tab, or newline separators.

Weights (optional)

Provide positive weights to compute a weighted mean.

Quartile Method

Decimal Precision

Quick Sample Datasets:

Summary Snapshot

Computed using .

Count

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Mean

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Median

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Sample Std. Dev.

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Central Tendency & Spread

Mode: —
Weighted Mean: —
Minimum: —
Maximum: —
Range: —
Midrange: —
Interquartile Range (IQR): —

Shape & Variability

Sample Variance: —
Population Variance: —
Sample Std. Dev.: —
Population Std. Dev.: —
Coefficient of Variation: —
Skewness (Fisher): —
Excess Kurtosis: —

Quartiles

Q1 (25%)

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Median (50%)

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Q3 (75%)

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IQR (Q3 − Q1)

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Interpretation Hints

Skewness insight will appear here.
Kurtosis insight will appear here.
IQR-based outlier thresholds will appear here.

How the calculator works

Mean / Median / Mode: Calculated from sorted data. Multiple modes are reported if values tie for highest frequency.

Quartiles: Select Tukey’s method (median of halves) or Excel’s inclusive percentile interpolation to match classroom or spreadsheet results.

Variance & Standard Deviation: Sample metrics use Bessel’s correction (divide by n − 1). Population metrics divide by n.

Skewness & Kurtosis: Uses unbiased Fisher-Pearson coefficients, requiring at least 3 (skew) or 4 (kurtosis) data points.

Formula References

Montgomery, D. C., & Runger, G. C. (2014). Applied Statistics and Probability for Engineers, Wiley.
NIST/SEMATECH (2012). Engineering Statistics Handbook, Chapter 1.3.
Joanes, D. N., & Gill, C. A. (1998). “Comparing measures of sample skewness and kurtosis.” The Statistician.