documentclass[margin=5pt]{standalone}

usepackage{tikz}
usepackage{pgfplots}

begin{document}

    begin{tikzpicture}

        begin{axis}[
            width=5in,
            height=3in,
            axis lines=middle,
            scaled ticks=false,
            xtick=empty,
            xmin=0,
            xmax=3,
            extra x ticks={0,1,2,3},
            extra x tick labels={low,high,med},
        ]

        addplot [mark=*,draw] coordinates {(0.5,2) (1.5,4) (2.5,3)};

        end{axis}
    end{tikzpicture}

end{document}

xticklabel style = {xshift=1.9cm,align=center},