| Exam Board | AQA |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2008 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Measures of Location and Spread |
| Type | Find median and quartiles from raw data list |
| Difficulty | Easy -1.2 This is a straightforward S1 question requiring basic ordering of data and application of standard median/quartile position formulas (n+1)/2 for 11 values. Part (b) asks for simple conceptual understanding of when mode and range are inappropriate. No problem-solving or novel insight required—purely routine statistical definitions and procedures. |
| Spec | 2.02f Measures of average and spread |
4 The runs scored by a cricketer in 11 innings during the 2006 season were as follows.
$$\begin{array} { l l l l l l l l l l l }
47 & 63 & 0 & 28 & 40 & 51 & a & 77 & 0 & 13 & 35
\end{array}$$
The exact value of $a$ was unknown but it was greater than 100 .
\begin{enumerate}[label=(\alph*)]
\item Calculate the median and the interquartile range of these 11 values.
\item Give a reason why, for these 11 values:
\begin{enumerate}[label=(\roman*)]
\item the mode is not an appropriate measure of average;
\item the range is not an appropriate measure of spread.
\end{enumerate}\end{enumerate}
\hfill \mbox{\textit{AQA S1 2008 Q4 [6]}}