LaTeX Forum

\documentclass[a4paper,11pt,openany]{scrreprt}
\usepackage[utf8]{inputenc}
\usepackage[ngerman]{babel}
\usepackage[T1]{fontenc}
\usepackage{graphicx, subfig}
\graphicspath{{img/}}
\usepackage{fancyhdr}
\usepackage{lmodern}
\usepackage{color}

\usepackage{pgfplots}
\usepgfplotslibrary{dateplot}
\usepackage{tikz}
\usetikzlibrary{shapes,arrows}

\begin{document}
\begin{tikzpicture}
\draw (0cm,0cm) -- (15cm,0cm);
\draw[domain=0:15] plot[id=gauss0, samples=50] function{1/sqrt(2*pi)*exp(-0.5*x**2)};
\end{tikzpicture}
\end{document}

\documentclass{article}
\usepackage{tikz}

\begin{document}

\begin{tikzpicture}
  \draw (0cm,0cm) -- (15cm,0cm);
  \draw[domain=0:15] plot[id=gauss0, samples=50]
    (\x,{1/sqrt(2*pi)*exp(-.5*\x^2)}) ;
\end{tikzpicture}

\end{document}

\documentclass{article}
\usepackage{pgfplots}

\begin{document}

\begin{tikzpicture}
  \begin{axis}[domain=0:15,samples=50]
    \addplot[black] {1/sqrt(2*pi)*exp(-.5*x^2)} ;
  \end{axis}
\end{tikzpicture}

\end{document}

\documentclass{article}
\usepackage{pgfplots}

\begin{document}

\begin{tikzpicture}
  \begin{axis}[domain=-3:3,samples=50]
    \addplot[black] {1/sqrt(2*pi)*exp(-.5*x^2)} ;
  \end{axis}
\end{tikzpicture}

\end{document}

\documentclass{article}
\usepackage{pgfplots}
% #1 is x; #2 is \mu; #3 is \sigma^2
\pgfmathdeclarefunction{gauss}{3}{%
  \pgfmathparse{1/(sqrt(#3*2*pi))*exp(-((#1-#2)^2)/(2*#3))}%
}

\begin{document}
\begin{tikzpicture}
\begin{axis}[
  domain=-3:3, 
  samples=100,
  ymin=0,
  axis lines*=left, 
  xlabel=$x$,
  every axis x label/.style={at=(current axis.right of origin),anchor=west},
  height=7cm, 
  width=14cm,
  xtick=\empty, 
  enlargelimits=false, 
  clip=false, 
  hide y axis
  ]

  \pgfmathsetmacro\gsmu{0}
  \pgfmathsetmacro\gssg{1}
  \pgfmathsetmacro\gsvalmin{gauss(\gsmu-\gssg,\gsmu,\gssg)}
  \pgfmathsetmacro\gsvalmn{gauss(\gsmu,\gsmu,\gssg)}
  \pgfmathsetmacro\gsvalplu{gauss(\gsmu+\gssg,\gsmu,\gssg)}

  \addplot [ultra thick,cyan!60!black] {gauss(x, \gsmu, \gssg)};

  \draw [lightgray, dashed] (axis cs:\gsmu-\gssg,0) -- (axis cs:\gsmu-\gssg,\gsvalmin)
                            (axis cs:\gsmu+\gssg,0) -- (axis cs:\gsmu+\gssg,\gsvalplu);
  \draw [lightgray, dashed] (axis cs:\gsmu,0) -- (axis cs:\gsmu,\gsvalmn);

  \node[below] at (axis cs:\gsmu-\gssg, 0)  {$\mu - \sigma$}; 
  \node[below] at (axis cs:\gsmu, 0)        {$\mu$}; 
  \node[below] at (axis cs:\gsmu+\gssg, 0)  {$\mu + \sigma$}; 

  \node [yshift=1cm, scale=1.8] at (axis cs: \gsmu, 0)
    {$\displaystyle f(x) = \frac{1}{\sigma \sqrt{2\pi}} e^{-\frac{(x-\mu)^2}{2\sigma^2}}$};
\end{axis}
\end{tikzpicture}
\end{document}

\documentclass{article}
\usepackage{pgfplots}
% #1 is x; #2 is \mu; #3 is \sigma^2
\pgfmathdeclarefunction{gauss}{3}{%
  \pgfmathparse{1/(sqrt(#3*2*pi))*exp(-((#1-#2)^2)/(2*#3))}%
}

\begin{document}
\begin{tikzpicture}
\begin{axis}[
  domain=-3:3,
  samples=100,
  ymin=0,
  axis lines*=left,
  xlabel=$x$,
  every axis x label/.style={at=(current axis.right of origin),anchor=west},
  height=7cm,
  width=14cm,
  xtick=\empty,
  enlargelimits=false,
  clip=false,
  hide y axis
  ]

  \addplot [ultra thick,cyan!60!black] {gauss(x, 0, 1)};
\end{axis}
\end{tikzpicture}
\end{document}

\documentclass{article}
\usepackage{pgfplots}

\begin{document}

\begin{tikzpicture}
  \begin{axis}[domain=-3:3, samples=50, hide y axis, axis x line=bottom, xtick=\empty]
    \addplot[black] {1/sqrt(2*pi)*exp(-.5*x^2)} ;
  \end{axis}
\end{tikzpicture}

\end{document}