| Exam Board | Edexcel |
|---|---|
| Module | S3 (Statistics 3) |
| Year | 2006 |
| Session | January |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Combinations & Selection |
| Type | Calculating stratified sample sizes |
| Difficulty | Easy -1.2 This is a straightforward application of stratified sampling requiring students to identify strata (classes vs sixth form, boys vs girls), calculate proportions, and determine sample sizes. It involves basic arithmetic and recall of a standard sampling procedure with no problem-solving or novel insight required. The 7 marks reflect the need to show multiple calculation steps rather than conceptual difficulty. |
| Spec | 2.01c Sampling techniques: simple random, opportunity, etc |
\begin{enumerate}
\item A school has 15 classes and a sixth form. In each class there are 30 students. In the sixth form there are 150 students. There are equal numbers of boys and girls in each class. There are equal numbers of boys and girls in the sixth form. The head teacher wishes to obtain the opinions of the students about school uniforms.
\end{enumerate}
Explain how the head teacher would take a stratified sample of size 40.\\
(7)\\
\hfill \mbox{\textit{Edexcel S3 2006 Q1 [7]}}