# ::Free Statistics and Forecasting Software::

v1.1.23-r7
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### :: Area under Normal Density - Free Statistics Software (Calculator) ::

All rights reserved. The non-commercial (academic) use of this software is free of charge. The only thing that is asked in return is to cite this software when results are used in publications.

This free online software (calculator) computes the area under the normal density for a given lower and upper value, mean, and standard deviation. These computed probabilities are often displayed (in statistics handbooks) in the form of the so-called statistical tables about the normal distribution.

 Send output to: Browser Blue - Charts White Browser Black/White CSV MS Excel MS Word Lower value (?) Upper value (?) Mean Standard Deviation

 Source code of R module if (par1 == "") par1 <- -Inf else par1 <- as.numeric(par1) if (par2 == "") par2 <- Inf else par2 <- as.numeric(par2) par3 <- as.numeric(par3) par4 <- as.numeric(par4) if (par4 <= 0) par4 = 1 (pl <- pnorm(par1,par3,par4)) (pu <- pnorm(par2,par3,par4)) (pbetween <- pu - pl) (poutside <- 1 - pbetween) load(file="createtable") a<-table.start() a<-table.row.start(a) a<-table.element(a,"Area under Normal Density Function",2,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,"lower value (L)",header=TRUE) a<-table.element(a,par1) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,"upper value (U)",header=TRUE) a<-table.element(a,par2) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,"mean",header=TRUE) a<-table.element(a,par3) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,"standard deviation",header=TRUE) a<-table.element(a,par4) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,"P[X <= L]",header=TRUE) a<-table.element(a,pl) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,"P[X <= U]",header=TRUE) a<-table.element(a,pu) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,"P[L <= X < U]",header=TRUE) a<-table.element(a,pbetween) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,"1 - P[L <= X < U]",header=TRUE) a<-table.element(a,poutside) a<-table.row.end(a) a<-table.end(a) table.save(a,file="mytable.tab")
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 Cite this software as: Wessa P., (2008), Area under the Normal Density (v1.0.3) in Free Statistics Software (v1.1.23-r7), Office for Research Development and Education, URL http://www.wessa.net/rwasp_normalarea.wasp/ The R code is based on : Becker, R. A., Chambers, J. M. and Wilks, A. R., (1988), The New S Language, Wadsworth & Brooks/Cole. Wichura, M. J. (1988) Algorithm AS 241: The Percentage Points of the Normal Distribution, Applied Statistics, vol. 37, 477-484.
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