Free Descriptive Calculators

22 tools

Mean, median, mode, range, variance, and standard deviation calculators. Browse our free descriptive tools below — no sign-up required.

5-Number Summary Calculator

Calculate the five-number summary (min, Q1, median, Q3, max) with IQR, outlier detection, box plot visualization, decile table, and Bowley skewness for any dataset.

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Ascending Order Calculator

Sort numbers in ascending or descending order with ranks, percentile ranks, gap analysis, frequency counts, and number line visualization. Handles ties with average ranking.

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Box Plot Calculator

Generate box-and-whisker plots with five-number summary, Tukey fences, outlier detection, percentile table, and Bowley skewness. Interactive SVG visualization.

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Coefficient of Variation Calculator

Calculate the coefficient of variation (CV) for one or two datasets, with comparison mode, CV gauge, reference table, and detailed calculation steps.

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Covariance Calculator

Calculate covariance, Pearson correlation, R², and regression line for paired data. Includes scatter plot, cross-product table, and correlation gauge.

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First Quartile (Q1) Calculator

Calculate the first quartile (Q1, 25th percentile) with three methods: inclusive, exclusive, and interpolated. Compare methods, view percentile table, and sorted data.

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Frequency Distribution Calculator

Build grouped and ungrouped frequency distribution tables with histograms, cumulative frequencies, relative frequencies, and class count rule comparison.

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Frequency Polygon Calculator

Create frequency polygons with SVG visualization, cumulative ogive overlay, class frequency table, polygon coordinates, and automatic class interval selection.

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Histogram Calculator

Generate histograms from raw data with 5 bin methods (Sturges, Square Root, Rice, Freedman-Diaconis, custom). SVG visualization, density, skewness, and bin comparison.

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Interquartile Range (IQR) Calculator

Calculate IQR, semi-IQR, quartile coefficient of dispersion, Tukey fences, and outlier detection. Includes box plot, quartile segments, and IQR vs SD comparison.

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Mean, Median, Mode Calculator

Calculate arithmetic, geometric, harmonic, trimmed, and weighted means plus median, mode, and modality. Includes frequency table, skewness, and visual comparison.

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Median Absolute Deviation (MAD) Calculator

Calculate MAD, scaled MAD, mean absolute deviation, and MAD-based outlier detection. Compare robust vs classical spread measures with visual breakdown.

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Midrange Calculator

Calculate the midrange (average of min and max), midhinge, trimean, and deviation analysis. Compare midrange to mean, median, and robust center measures.

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Outlier Calculator

Detect outliers using IQR/Tukey fences, Z-score, modified Z-score (MAD), Grubbs, and Dixon Q tests. Visual outlier zones, method comparison, and full data analysis.

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Percentile Rank Calculator

Find the percentile rank of a score in a dataset, compute custom percentile values, and compare exclusive/inclusive/mean methods. Includes gauge, decile table, and Z-score.

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Population Variance Calculator

Calculate population variance (σ²), sample variance (s²), standard deviation, sum of squares, Bessel correction, and CV. Includes deviation table and computation methods.

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Quartile Calculator

Calculate Q1, Q2 (median), Q3, IQR, midhinge, trimean, and five-number summary using 3 quartile methods. Box plot, method comparison, and decile table included.

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Relative Frequency Calculator

Calculate relative frequency, cumulative frequency, percentages, and Shannon entropy from ungrouped data. Includes bar chart, ogive curve, and frequency distribution table.

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Skewness Calculator

Calculate skewness, kurtosis, and shape metrics from data using Fisher, Pearson, Bowley, and Kelly methods. Includes skewness gauge, method comparison, and significance testing.

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Standard Deviation Calculator

Calculate standard deviation, variance, mean, median, quartiles, IQR, confidence intervals, z-scores, skewness, and outliers. Visual box plot, frequency distribution with bars, and preset data sets.

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Stem-and-Leaf Plot Calculator

Generate stem-and-leaf plots with frequency counts, back-to-back comparison mode, key interpretation, and summary statistics. Auto-detects stem unit.

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Third Quartile (Q3) Calculator

Calculate the third quartile (Q3/75th percentile) using exclusive, inclusive, and interpolated methods. Includes quartile number line, method comparison, derived measures, and percentile table.

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