| Exam Board | Edexcel |
|---|---|
| Module | S3 (Statistics 3) |
| Year | 2013 |
| Session | June |
| 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 S3 sampling question requiring recall of advantages/disadvantages of sampling methods and routine calculation of stratified sample sizes using proportional allocation. Part (b) involves simple arithmetic (dividing proportionally), and part (c) requires standard textbook description of random selection within strata. No problem-solving or novel insight required. |
| Spec | 2.01c Sampling techniques: simple random, opportunity, etc2.01d Select/critique sampling: in context |
| Course | Number of students enrolled |
| Leisure and Sport | 420 |
| Information Technology | 337 |
| Health and Social Care | 200 |
| Media Studies | 43 |
3. A college manager wants to survey students' opinions of enrichment activities. She decides to survey the students on the courses summarised in the table below.
\begin{center}
\begin{tabular}{|l|l|}
\hline
Course & Number of students enrolled \\
\hline
Leisure and Sport & 420 \\
\hline
Information Technology & 337 \\
\hline
Health and Social Care & 200 \\
\hline
Media Studies & 43 \\
\hline
\end{tabular}
\end{center}
Each student takes only one course.\\
The manager has access to the college's information system that holds full details of each of the enrolled students including name, address, telephone number and their course of study. She wants to compare the opinions of students on each course and has a generous budget to pay for the cost of the survey.
\begin{enumerate}[label=(\alph*)]
\item Give one advantage and one disadvantage of carrying out this survey using
\begin{enumerate}[label=(\roman*)]
\item quota sampling,
\item stratified sampling.
The manager decides to take a stratified sample of 100 students.
\end{enumerate}\item Calculate the number of students to be sampled from each course.
\item Describe how to choose students for the stratified sample.
\end{enumerate}
\hfill \mbox{\textit{Edexcel S3 2013 Q3 [7]}}