CAIE S2 2017 June — Question 1 3 marks

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2017
SessionJune
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicData representation
TypeSelect random sample using random numbers
DifficultyEasy -1.8 This is a purely procedural question requiring only mechanical application of random number sampling rules: read digits sequentially, ignore numbers >654 and duplicates. No problem-solving, conceptual understanding, or calculation required—just following a simple algorithm.
Spec2.01c Sampling techniques: simple random, opportunity, etc

1 A residents' association has 654 members, numbered from 1 to 654 . The secretary wishes to send a questionnaire to a random sample of members. In order to choose the members for the sample she uses a table of random numbers. The first line in the table is as follows. $$\begin{array} { l l l l l l } 1096 & 4357 & 3765 & 0431 & 0928 & 9264 \end{array}$$ The numbers of the first two members in the sample are 109 and 643. Find the numbers of the next three members in the sample.

Question 1:
AnswerMarks Guidance
AnswerMarks Guidance
573, 43 (or 043), 289B1B1B1 Ignore incorrect numbers. But allow other correct use of table (i.e. 573, 650, 431)
## Question 1:

| Answer | Marks | Guidance |
|--------|-------|----------|
| 573, 43 (or 043), 289 | B1B1B1 | Ignore incorrect numbers. But allow other correct use of table (i.e. 573, 650, 431) |

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1 A residents' association has 654 members, numbered from 1 to 654 . The secretary wishes to send a questionnaire to a random sample of members. In order to choose the members for the sample she uses a table of random numbers. The first line in the table is as follows.

$$\begin{array} { l l l l l l } 
1096 & 4357 & 3765 & 0431 & 0928 & 9264
\end{array}$$

The numbers of the first two members in the sample are 109 and 643. Find the numbers of the next three members in the sample.\\

\hfill \mbox{\textit{CAIE S2 2017 Q1 [3]}}