# Plotting normal curve with extremely small variance

I need a graph of a normal bell curve centered around t with a variance as small as possible (without being straight line). I've found a bunch of methods to plot a normal graph, but none where the variance/standard deviation can be explicitly stated. Here's what I am looking for but preferably even thinner:

UPDATE:

• How about xscale? – Symbol 1 Apr 19 '18 at 21:56
• I'm extremely new to latex so you are going to need to be more specific, sorry I should have clarified – undergrad Apr 19 '18 at 22:03
• You can make an MWE, or find what you want Seeing examples on the web page TexExample.NET. – J Leon V. Apr 19 '18 at 22:23

\documentclass{standalone}
\usepackage{tikz}
\begin{document}
\tikzset{declare function={myGauss(\x,\y,\z)=exp(-(\x-\y)*(\x-\y)/(\z*\z));}}
% this is a Gaussian centered at \y with a width controlled by \z
\begin{tikzpicture}
\draw plot[domain=-0.1:0.1,variable=\x,samples=100] ({\x},{myGauss(\x,0,0.03)});
\end{tikzpicture}
\end{document}

EDIT: Here is a proposal. I can't really recommend to just refer to the Gaussian a "the plot below".

\documentclass{article}
\usepackage{tikz}
\usepackage{wrapfig}
\usepackage{lipsum}
\tikzset{declare function={myGauss(\x,\y,\z)=3*exp(-(\x-\y)*(\x-\y)/(\z*\z));}}
% this is a Gaussian centered at \y with a width controlled by \z
\begin{document}
\lipsum[1]

\begin{wrapfigure}[15]{r}[10pt]{5.4cm}
\begin{tikzpicture}
\draw[-latex] (-1,0) -- (2,0) node[below]{$x$};
\draw[-latex] (-1,0) -- (-1,3.5) node[left]{$y$};
\draw[thick] plot[domain=-0.5:0.5,variable=\x,samples=100] ({\x},{myGauss(\x,0,0.1)});
\end{tikzpicture}
\caption{A narrow Gaussian.}
\label{fig:Gaussian}
\end{wrapfigure}
In Figure~\ref{fig:Gaussian}, we show a narrow Gaussian.
\lipsum[2]

\lipsum[3]
\end{document}
• This is showing up extremely small in my document, any way to make it bigger? – undergrad Apr 20 '18 at 0:20
• @undergrad Bigger meaning higher? If so, do \tikzset{declare function={myGauss(\x,\y,\z)=5*exp(-(\x-\y)*(\x-\y)/(\z*\z));}} or something like that. If you mean wider, do \draw plot[domain=-0.5:0.5,variable=\x,samples=100] ({\x},{myGauss(\x,0,0.15)}); or something along those lines. – user121799 Apr 20 '18 at 0:28
• I've attached a screen shot of my issue in my OP – undergrad Apr 20 '18 at 0:30
• @undergrad I still don't know whether you want it to become taller, wider, or both. I'd also recommend to put it in a figure environment, possibly a wrapfig since it will be narrow. – user121799 Apr 20 '18 at 0:34
• I just want to scale it, so the actual image is larger – undergrad Apr 20 '18 at 0:35