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, Pearson’s 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;