| Exam Board | Edexcel |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2007 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Modelling and Hypothesis Testing |
| Type | Statistical modeling theory |
| Difficulty | Easy -2.0 This is a pure recall question about statistical modeling theory requiring no calculation, problem-solving, or mathematical reasoning—students simply need to memorize and regurgitate textbook definitions of why models are used and the standard modeling cycle stages. It's significantly easier than typical A-level questions that require applying mathematical techniques. |
| Spec | 2.01a Population and sample: terminology |
| Answer | Marks | Guidance |
|---|---|---|
| (a) Used to simplify or represent a real world problem. Cheaper or quicker or easier (than the real situation) or more easily modified. To improve understanding of the real world problem. Used to predict outcomes from a real world problem (idea of predictions) | (any two lines) | B1 |
| B1 | (2 marks) | |
| (b) (3 or 4) Model used to make predictions. (Idea of predicted values based on the model) | B1 | |
| (4 or 3) (Experimental) data collected | B1 | |
| (7) Model is refined. | B1 | (3 marks) |
**(a)** Used to simplify or represent a real world problem. Cheaper or quicker or easier (than the real situation) or more easily modified. To improve understanding of the real world problem. Used to predict outcomes from a real world problem (idea of predictions) | (any two lines) | B1 |
| B1 | (2 marks)
**(b)** (3 or 4) Model used to make predictions. (Idea of predicted values based on the model) | B1 |
(4 or 3) (Experimental) data collected | B1 |
(7) Model is refined. | B1 | (3 marks)
**Total: 5 marks**
---\begin{enumerate}
\item (a) Give two reasons to justify the use of statistical models.
\end{enumerate}
It has been suggested that there are 7 stages involved in creating a statistical model. They are summarised below, with stages 3 , 4 and 7 missing.
Stage 1. The recognition of a real-world problem.
Stage 2. A statistical model is devised.
Stage 3.
Stage 4.
Stage 5. Comparisons are made against the devised model.
Stage 6. Statistical concepts are used to test how well the model describes the real-world problem.
Stage 7.\\
(b) Write down the missing stages.\\
\hfill \mbox{\textit{Edexcel S1 2007 Q6 [5]}}