Edexcel S1 2018 June — Question 2

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2018
SessionJune
TopicData representation
TypeCompare distributions using stem-and-leaf

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]
\includegraphics[alt={},max width=\textwidth]{b115bffa-1190-4a2b-b6f2-b006580e8dbd-06_349_1378_497_274} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure}
  1. 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.
    StemLeaf
    20234\(( 4 )\)
    25688899
    300000111222234\(( 14 )\)
    355579\(( 5 )\)
    Key: 2|0 means 20 minutes
  2. Find the value of the median and interquartile range for the Eastyou members. An outlier is a value that falls either
  3. On the grid on page 7, draw a box plot to represent the times of the Eastyou members.
  4. State the skewness of each distribution. Give reasons for your answers. $$\begin{aligned} & \text { more than } 1.5 \times \left( Q _ { 3 } - Q _ { 1 } \right) \text { above } Q _ { 3 }
    & \text { or more than } 1.5 \times \left( Q _ { 3 } - Q _ { 1 } \right) \text { below } Q _ { 1 } \end{aligned}$$
    \includegraphics[max width=\textwidth, alt={}]{b115bffa-1190-4a2b-b6f2-b006580e8dbd-06_2255_50_314_1976}
    \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]
    \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{figure}