Wolframalpha.com
User Interface and Statistics Keywords

Robert Katz

Last Updated August 4, 2009

 Category: Statistics Keyword Formats Described Results Descriptive Statistics { 10, 20, 20, 30, 30 } What you input, result, total, locational statistics (means, median, quartiles); dispersion statistics (std. deviation, variance, other deviations, range, std error of the mean, coefficient of variation), shape statistics (skewnesses, kurtosis) visual representation (pie chart), greatest common divisor of the data commonest  same as mode mode { 10, 20, 20, 30, 30 } What you input, result  (one or more modes) Other prefix keywords for data set: Mean, harmonic mean, geometric mean, root mean square   First quartile, median, third quartile   Standard deviation, variance Mean deviation, median deviation, quartile deviation, interquartile range, sample range, standard error of the mean, coefficient of variation, coefficient of quartile variation   Skewness, quartile skewness, coefficient of momental skewness, PearsonŐs second moment of skewness, quartile coefficient of skewness,   Kurtosis, coefficient of excess kurtosis   Normalized vector (of original data set) What you input, specific result Regression Analysis Linear fit {{1.3, 2.2}, {2.1, 5.8}, {3.7, 10.2}, {4.2, 11.8}} Least squares best fit equation and graph; Plot of the residuals cubic fit 20.9, 23.2, 26.2, 26.4, 16.3, -12.2, -60.6, -128.9 (x coordinates are sequenced integers starting at 1) Least squares best fit cubic equation and graph; Plot of the residuals exponential fit 0.783, 0.552, 0.383, 0.245, 0.165, 0.097 (x coordinates are sequenced integers starting at 1) Least squares best fit exponential equation and graph;  fit diagnostics; Plot of the residuals Distributions Beta Distribution Statistical properties (Mean, Standard Deviation, Variance, Skewness, Kurtosis); Probability Density Function (PDF) Formula; Plots of PDF for typical parameter values; Cumulative Distribution Function (CDF) Formula; Plots of CDF for typical parameter values; Binomial Distribution Statistical properties (Mean, Standard Deviation, Variance, Skewness, Kurtosis); Probability Density Function (PDF) Formula; Plots of PDF for typical parameter values; Cumulative Distribution Function (CDF) Formula; Plots of CDF for typical parameter values; Poisson Distribution Statistical properties (Mean, Standard Deviation, Variance, Skewness, Kurtosis); Probability Density Function (PDF) Formula; Plots of PDF for typical parameter values; Cumulative Distribution Function (CDF) Formula; Plots of CDF for typical parameter values; Hypergeometric Distribution Statistical properties (Mean, Standard Deviation, Variance, Skewness, Kurtosis); Probability Density Function (PDF) Formula; Plots of PDF for typical parameter values; Cumulative Distribution Function (CDF) Formula; Plots of CDF for typical parameter values; Normal Distribution mean = 0; sd = 2 Statistical properties (Mean, Standard Deviation, Variance, Skewness, Kurtosis); Probability Density Function (PDF) Formula; Plots of PDF for given parameter values; Cumulative Distribution Function (CDF) Formula; Plots of CDF for given parameter values;  random sample from the distribution t Distribution Statistical properties (Mean, Standard Deviation, Variance, Skewness, Kurtosis); Probability Density Function (PDF) Formula; Plots of PDF for typical parameter values; Cumulative Distribution Function (CDF) Formula; Plots of CDF for typical parameter values; F Distribution Statistical properties (Mean, Standard Deviation, Variance, Skewness, Kurtosis); Probability Density Function (PDF) Formula; Plots of PDF for typical parameter values; Cumulative Distribution Function (CDF) Formula; Plots of CDF for typical parameter values; Chi Squared Distribution Statistical properties (Mean, Standard Deviation, Variance, Skewness, Kurtosis); Probability Density Function (PDF) Formula; Plots of PDF for typical parameter values; Cumulative Distribution Function (CDF) Formula; Plots of CDF for typical parameter values;