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\subsection{Winning and Drawing Fraction Results}
The graph below (Figure 2) shows us that the graph is slightly different to the winning fraction only (Figure 1) as the graph is shifted to the right. Otherwise you can see it is roughly the same, as the premiership has a higher winning and drawing fraction at the larger \begin{math}F(x)\end{math}. \begin{math}F(x)\end{math} is the cumulative distribution of the wins and draws, in other words when we sorted the winning and drawing fractions into order from smallest to largest. The first winning and drawing fraction has \begin{math}F(x)\end{math} of 1 as only one team has this fraction or less. Then the second winning and drawing had \begin{math}F(x)\end{math} of 2 as two teams have this fraction or less all the way up to \begin{math}n\end{math}.
\clearpage
\begin{sidewaysfigure}[htb]
\begin{center}
\includegraphics[scale=0.2]{C:/Users/Adam/Documents/30-01-2011/winning and drawing fraction.pdf}
\end{center}
\caption{Winning and Drawing Fraction}
\label{Winning and Drawing Fraction}
\end{sidewaysfigure}
However at the lower end of the graph it shows us that it is the same as winning fraction only (Figure 1). This tells us that in the premiership the teams at the bottom have a smaller winning and drawing fraction than the teams at the bottom in the other three football leagues. This indicates that the premiership is less competitive because the stronger teams lose less of their games whereas the weaker teams lose a higher proportion of their games.