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# Distribution Property Functions

In the descriptions of the distributions described throughout the website, we have provided formulas for the distribution mean and variance. Real Statistics provides the following functions to carry out these calculations.

Real Statistics Functions: The Real Statistics Resource Pack contains the following functions.

MEAN_DIST(dist, param1, param2, param3) = the mean of the distribution dist based on the listed parameters.

VAR_DIST(dist, param1, param2, param3) = the variance of the distribution dist based on the listed parameters.

Here, dist is a text string which specifies a distribution. The distributions that are currently supported are shown in Figure 1, as well as the values for the parameters.

 Distribution dist param1 param2 param3 Normal norm μ σ Log normal lognorm μ σ Chi-square chisq df t t df F f df1 df2 Binomial binom n p Poisson poisson μ Skellam skellam μ1 μ2 Beta beta α β Gamma gamma α β Uniform uniform α β PERT pert a b c Triangular triang a b c Weibull weibull β α Exponential expon λ Geometric geom p Hypergeometric hypgeom n k m Negative Binomial negbinom k p Gumbel gumbel μ β Logistic logistic μ β Laplace laplace μ β Inverse Chi-square ichisq df Inverse Gamma igamma α β

Figure 1 – MEAN_DIST and VAR_DIST parameters

For example, the formula =MEAN_DIST(“beta”,3,4) returns the mean of a beta distribution with alpha parameter 3 and beta parameter 4. The text string is the one used by Excel or Real Statistics to return the cdf/pdf of the distribution (e.g. “chisq” for chi-square, “triang” for triangular, etc.). The order of the parameters is the same as that found in the Excel or Real Statistics function that returns the cdf/pdf.

Statistics with R for Business Analysts – Normal Distribution

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