| Exam Board | OCR MEI |
|---|---|
| Module | S1 (Statistics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Measures of Location and Spread |
| Type | Compare multiple measures numerically |
| Difficulty | Moderate -0.8 This is a straightforward S1 question requiring calculation of three standard measures of location from a small ordered dataset (mean, median, midrange) and brief commentary on the outlier's effect. The calculations are routine arithmetic with no conceptual challenges, though the commentary requires basic understanding of resistance to outliers. Easier than average A-level due to minimal steps and standard textbook content. |
| Spec | 2.02f Measures of average and spread |
| 6.2 | 6.7 | 6.8 | 8.1 | 8.1 | 8.5 | 8.6 | 9.0 | 9.9 | 10.1 | 11.0 | 11.8 | 22.8 |
2 The total annual emissions of carbon dioxide, $x$ tonnes per person, for 13 European countries are given below.
\begin{center}
\begin{tabular}{ l l l l l l l l l l l l l }
6.2 & 6.7 & 6.8 & 8.1 & 8.1 & 8.5 & 8.6 & 9.0 & 9.9 & 10.1 & 11.0 & 11.8 & 22.8 \\
\end{tabular}
\end{center}
(i) Find the mean, median and midrange of these data.\\
(ii) Comment on how useful each of these is as a measure of central tendency for these data, giving a brief reason for each of your answers.
\hfill \mbox{\textit{OCR MEI S1 Q2 [7]}}