\documentclass[border = 3mmm]{standalone}
\usepackage{pgfplots}
\pgfplotsset{width=10cm,height=1.9cm,compat=newest}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
xmin=4.5,
xmax=6.5,
% hide y axis,
axis y line=none,
axis x line=bottom,
axis x line shift={4pt},
every outer x axis line/.append style={stealth-stealth},
title={},
xlabel={data set 3}]
\addplot [only marks, black, mark=*, mark size=2pt] coordinates{(5.0, 1)(5.2, 1)(5.2, 2)(5.3, 1)(5.3, 2)(5.5, 1)(5.5, 2)(5.6, 1)(5.6, 2)(5.8, 1)(6.0, 1)};
\end{axis}
\end{tikzpicture}
\end{document}