Gaussian distribution of physics data

Question

I have to make a gaussian distribution of some physics data using pgfplots. the data are 5, all between 21.00 and 22.00 with mu=21.52 e sigma=0.013. so i want to draw the function of the gaussian and have a mark corresponding to my data (this is the part i can do) may i have some help?

\begin{document}
\pgfmathdeclarefunction{gauss}{3}{
    \pgfmathparse{1/(#3*sqrt(2*pi))*exp(-((#1-#2)^2)/(2*#3^2))}%
}
\begin{tikzpicture}
\begin{axis}[axis x line=bottom,axis y line=none,,xmin=21,xmax=22, title=Normal data distribution]
\addplot {gauss(x,21,1)};
\end{axis}
\end{tikzpicture}

Welcome to TeX.SX! Can you give us some more information, i.e., show us a minimal but working example (MWE) of what you already have and add a description of the concrete problem you have? Please do it by editing your question. Maybe we also need the date or a minimal example for it. — Schweinebacke, Sep 07 '17 at 10:47
This is only a code snippet and still not a working example. Please have a look at the link in my first comment. — Schweinebacke, Sep 07 '17 at 11:13
I know, 'couse it keeps giving me errors such as "PGF math error: sorry, an internal routine of the floating point unit0'...\end{axis}" — Daniel, Sep 07 '17 at 11:30
Does one of these answers help you to solve the problem? https://tex.stackexchange.com/a/333366, https://tex.stackexchange.com/a/383403. — Stefan Pinnow, Sep 07 '17 at 11:34
You need to remember that the default domain is -5 to 5, so with xmin=21,xmax=22 you wont get any data points in the axis. Set e.g. domain=21:22, or whatever you need. — Torbjørn T., Sep 07 '17 at 12:04
Working does not mean running without error. But as long as the example isn't complete, we cannot reproduce problems. Please make it complete, starting with \documentclass and including all packages and settings needed to reproduce the problem etc. — Schweinebacke, Sep 07 '17 at 12:09
Since you have some responses below that seem to answer your question, please consider marking one of them as ‘Accepted’ by clicking on the tickmark below their vote count (see How do you accept an answer?). This shows which answer helped you most, and it assigns reputation points to the author of the answer (and to you!). It's part of this site's idea to identify good questions and answers through upvotes and acceptance of answers. — samcarter_is_at_topanswers.xyz, Sep 25 '17 at 16:54

Zarko · Answer 1 · 2017-09-07T17:06:34.417

your demand for drawing Gaussian function is at a limits of pgfplots package ability to drawing it :-(. if i correctly decode meaning of parameters in your gauss function, than i obtain:

this images can is draw in three segments. in one you cross mentioned ability of pgfplots:

\documentclass[margin=3mm]{standalone}
\usepackage{pgfplots}
\begin{document}
\pgfmathdeclarefunction{gauss}{3}{%#3:  sigma
                                  %#2:  mu (expected value)
                                  %#1:  variable
    \pgfmathparse{1/(#3*sqrt(2*pi))*exp(-(#1-#2)*(#1-#2)/(#3*#3)/2)}%
}%
\begin{tikzpicture}
\begin{axis}[axis x line=bottom, 
             axis y line=none,
             tick label style={font=\footnotesize},
             extra x ticks = {21.52},
             extra x tick labels = {$\mu$},
             title={Normal data distribution},
             mark=none, samples=30
             every axis plot post/.append style={very thick, color=red!50}
             ]
\addplot[domain=21:21.3]                {gauss(x,21.52,0.013)};
\addplot[samples=400, domain=21.3:21.7] {gauss(x,21.52,0.013)};
\addplot[domain=21.7:22]                {gauss(x,21.52,0.013)};
\end{axis}
\end{tikzpicture}
\end{document}

score 0 · Answer 2 · answered Sep 07 '17 at 15:55

I'm not sure which of the many changes actually rang the bell.

\documentclass{standalone}
\usepackage{pgfplots}
\begin{document}
\pgfmathdeclarefunction{gauss}{3}{%
    \pgfmathparse{1/(#3*sqrt(2*pi))*exp(-((#1-#2)*(#1-#2))/(2*#3*#3))}%
}%
\begin{tikzpicture}
\begin{axis}[axis x line=bottom, axis y line=none, title={Normal data distribution}]
\addplot[mark=none, domain=21:22] {gauss(x,21,1)};
\end{axis}
\end{tikzpicture}
\end{document}

Gaussian distribution of physics data

2 Answers2

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