| Exam Board | OCR MEI |
|---|---|
| Module | S1 (Statistics 1) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Topic | Measures of Location and Spread |
| Type | Compare multiple measures numerically |
| Difficulty | Easy -1.2 This is a straightforward descriptive statistics question requiring basic data organization (stem-and-leaf), simple calculations (median from ordered data, midrange = (max+min)/2), and a brief comparison. All techniques are routine S1 content with no problem-solving or conceptual depth required—easier than average A-level. |
| Spec | 2.02a Interpret single variable data: tables and diagrams2.02f Measures of average and spread |
4 A camera records the speeds in miles per hour of 15 vehicles on a motorway. The speeds are given below.
$$\begin{array} { l l l l l l l l l l l l l l l }
73 & 67 & 75 & 64 & 52 & 63 & 75 & 81 & 77 & 72 & 68 & 74 & 79 & 72 & 71
\end{array}$$
(i) Construct a sorted stem and leaf diagram to represent these data, taking stem values of $50,60 , \ldots$.\\
(ii) Write down the median and midrange of the data.\\
(iii) Which of the median and midrange would you recommend to measure the central tendency of the data? Briefly explain your answer.
\hfill \mbox{\textit{OCR MEI S1 Q4 [8]}}