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Descriptive Statistics—Wolfram Language Documentation

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The Wolfram Language's descriptive statistics functions operate both on explicit data and on symbolic representations of statistical distributions. When operating on explicit data, the functions routinely handle huge datasets, which can contain not only numbers but also symbolic elements representing, for example, parametrized or unknown data.

Mean  ▪  Median  ▪  Commonest  ▪  TrimmedMean  ▪  WinsorizedMean  ▪  BiweightLocation  ▪  SpatialMedian  ▪  CentralFeature  ▪  HarmonicMean  ▪  GeometricMean  ▪  ContraharmonicMean

Variance  ▪  TrimmedVariance  ▪  WinsorizedVariance  ▪  StandardDeviation  ▪  MeanDeviation  ▪  MedianDeviation  ▪  QuartileDeviation  ▪  InterquartileRange  ▪  QnDispersion  ▪  SnDispersion  ▪  BiweightMidvariance

Skewness  ▪  Kurtosis  ▪  QuartileSkewness  ▪  Entropy  ▪  EstimatedDistribution

Covariance  ▪  Correlation  ▪  AbsoluteCorrelation  ▪  SpearmanRho  ▪  KendallTau  ▪  HoeffdingD  ▪  GoodmanKruskalGamma  ▪  BlomqvistBeta  ▪  WilksW  ▪  PillaiTrace

MeanPointDensity  ▪  PointDensity  ▪  HistogramPointDensity  ▪  SmoothPointDensity  ▪  RipleyK  ▪  BesagL  ▪  EmptySpaceF  ▪  NearestNeighborG  ▪  PairCorrelationG  ▪  SpatialJ

Moment  ▪  CentralMoment  ▪  FactorialMoment  ▪  Cumulant  ▪  RootMeanSquare  ▪  Expectation  ▪  Probability  ▪  BinCounts

Min  ▪  Max  ▪  MinMax  ▪  Sort  ▪  Ordering  ▪  RankedMin  ▪  RankedMax  ▪  Quantile  ▪  Quartiles  ▪  TakeLargest  ▪  TakeSmallest

WeightedData  ▪  EventData  ▪  TimeSeries  ▪  EventSeries  ▪  TemporalData  ▪  SpatialPointData  ▪  SpatialBinnedPointData

CDF  ▪  PDF  ▪  InverseCDF  ▪  CharacteristicFunction

Histogram  ▪  Histogram3D  ▪  QuantilePlot  ▪  BoxWhiskerChart  ▪  ...

▪
• Basic Statistics
▪
• Descriptive Statistics
▪
• Continuous Distributions
▪
• Discrete Distributions

▪
• Robust Descriptive Statistics
▪
• Hypothesis Tests
▪
• Probability & Statistics
▪
• Statistical Moments & Generating Functions
▪
• Statistical Model Analysis
▪
• Data Transforms & Smoothing
▪
• Curve Fitting
▪
• Random Sampling
▪
• Distance & Similarity Measures
▪
• Multivariate Statistics Package

• Demonstrations related to Descriptive Statistics (Wolfram Demonstrations Project)

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