| Exam Board | Edexcel |
|---|---|
| Module | S3 (Statistics 3) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Non-parametric tests |
| Type | Stratified sampling methods |
| Difficulty | Easy -1.8 This question tests basic understanding of stratified sampling concepts and simple random number table reading—purely recall and mechanical application with no problem-solving or calculation complexity. Part (a) requires stating a textbook advantage, part (b) is clerical work reading from a table, and part (c) asks for a straightforward suggestion. |
| Spec | 2.01c Sampling techniques: simple random, opportunity, etc |
| Answer | Marks | Guidance |
|---|---|---|
| (a) e.g. get information on views of each age group | B1 | |
| (b) 26, 31, 65, 44, 01, 48, 43, 12 | M1 A2 | |
| (c) e.g. whether or not they have children | B1 | (5) |
(a) e.g. get information on views of each age group | B1 |
(b) 26, 31, 65, 44, 01, 48, 43, 12 | M1 A2 |
(c) e.g. whether or not they have children | B1 | (5)
---\begin{enumerate}
\item A personnel manager has details on all company employees and wishes to consult a sample of them on a possible change to the company's hours of business. She decides to take a stratified sample based on different age groups.\\
(a) Give one advantage of using stratified sampling in this situation.
\end{enumerate}
The manager needs to select a sample of size 10 , without replacement, from a list of 65 employees aged 16 to 25 . She numbers these employees from 01 to 65 in alphabetical order and uses the table of random numbers given in the formula book. She starts with the top of the sixth two-digit column and works down. The first two numbers she writes down are 30 and 47.\\
(b) Find the other eight numbers in the sample.\\
(c) Suggest another factor that might be useful to consider in deciding on the strata.\\
(1 mark)\\
\hfill \mbox{\textit{Edexcel S3 Q1 [5]}}