\documentclass[margin=10pt]{standalone}
\usepackage{amsmath}
\usepackage{pgfplots}
\pgfplotsset{compat=1.3}

\newcommand\clipright[1][white]{
  \fill[#1](current axis.south east)rectangle(current axis.north-|current axis.outer east);
  \pgfresetboundingbox
  \useasboundingbox(current axis.outer south west)rectangle([xshift=.5ex]current axis.outer north-|current axis.east);
}

\definecolor{mycolor}{rgb}{0.02,0.4,0.7}

\begin{document}
\begin{tikzpicture}
    \begin{axis}[
        ymajorgrids,
        xmajorgrids,
        grid style={white,thick},
        axis on top,
        /tikz/ybar interval,
        tick align=outside,
        ymin=0,
        axis line style={draw opacity=0},
        tick style={draw=none},
        enlarge x limits=false,
        height=7cm,
        title={All Results},
        title style={font=\Large},
        xlabel={recording time $t$ in s},
        ylabel={Number of Recordings},
        ytick={ {{yticks}} },
        scaled ticks=false,
        yticklabels={ {{yticklabels}} },
        xticklabels={ {{xticklabels}} },
        width=\textwidth,
        xtick=data,
        label style={font=\large},
        ticklabel style={
            inner sep=1pt,
            font=\small
        },
        nodes near coords,
        every node near coord/.append style={
            fill=white,
            anchor=mid west,
            shift={(3pt,4pt)},
            inner sep=0,
            font=\footnotesize,
            rotate=45},
            ]
    \addplot[mycolor!80!white, fill=mycolor, draw=none] coordinates { {{coordinates}} };
    \end{axis}
    \clipright
\end{tikzpicture}
\end{document}