2. Two youth clubs, Eastyou and Westyou, decided to raise money for charity by running a 5 km race. All the members of the youth clubs took part and the time, in minutes, taken for each member to run the 5 km was recorded.

The times for the Westyou members are summarised in Figure 1.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{b115bffa-1190-4a2b-b6f2-b006580e8dbd-06_349_1378_497_274}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{center}
\end{figure}
\begin{enumerate}[label=(\alph*)]
\item Write down the time that is exceeded by $75 \%$ of Westyou members.

The times for the Eastyou members are summarised by the stem and leaf diagram below.

\begin{center}
\begin{tabular}{ l | l l l l l l l l l l l l l l l }
Stem & \multicolumn{17}{|l}{Leaf} &  &  &  &  &  &  &  &  &  &  &  &  &  \\
\hline
2 & 0 & 2 & 3 & 4 &  &  &  &  &  &  &  &  &  &  & $( 4 )$ &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  \\
2 & 5 & 6 & 8 & 8 & 8 & 9 & 9 &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  \\
3 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 2 & 2 & 2 & 2 & 3 & 4 & $( 14 )$ &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  \\
3 & 5 & 5 & 5 & 7 & 9 &  &  &  &  &  &  &  &  &  & $( 5 )$ &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  \\
\end{tabular}
\end{center}

Key: 2|0 means 20 minutes
\item Find the value of the median and interquartile range for the Eastyou members.

An outlier is a value that falls either
\item On the grid on page 7, draw a box plot to represent the times of the Eastyou members.
\item State the skewness of each distribution. Give reasons for your answers.

$$\begin{aligned}
& \text { more than } 1.5 \times \left( Q _ { 3 } - Q _ { 1 } \right) \text { above } Q _ { 3 } \\
& \text { or more than } 1.5 \times \left( Q _ { 3 } - Q _ { 1 } \right) \text { below } Q _ { 1 }
\end{aligned}$$

\begin{center}
\includegraphics[max width=\textwidth, alt={}]{b115bffa-1190-4a2b-b6f2-b006580e8dbd-06_2255_50_314_1976}
\end{center}

\includegraphics[max width=\textwidth, alt={}, center]{b115bffa-1190-4a2b-b6f2-b006580e8dbd-07_406_1390_2224_262}

Turn over for a spare grid if you need to redraw your box plot.

\begin{figure}[h]
\begin{center}
\captionsetup{labelformat=empty}
\caption{Only use this grid if you need to redraw your box plot.}
  \includegraphics[alt={},max width=\textwidth]{b115bffa-1190-4a2b-b6f2-b006580e8dbd-09_401_1399_2261_258}
\end{center}
\end{figure}
\end{enumerate}

\hfill \mbox{\textit{Edexcel S1 2018 Q2 [11]}}