SPS SPS SM Statistics 2026 January — Question 1 6 marks

Exam BoardSPS
ModuleSPS SM Statistics (SPS SM Statistics)
Year2026
SessionJanuary
Marks6
TopicCombinations & Selection
TypeDescribing or comparing sampling methods
DifficultyEasy -1.8 This is a straightforward statistics question testing basic knowledge of sampling methods. Part (a) requires simple recall of systematic sampling procedure (calculate sampling interval 50000/100=500, random start, select every 500th). Part (b) asks for standard textbook advantages/disadvantages with no analysis or application required. Minimal calculation and no problem-solving.
Spec2.01c Sampling techniques: simple random, opportunity, etc

1. A telephone directory contains 50000 names. A researcher wishes to select a systematic sample of 100 names from the directory.
  1. Explain in detail how the researcher should obtain such a sample.
  2. Give one advantage and one disadvantage of
    1. quota sampling,
    2. systematic sampling.

1.

A telephone directory contains 50000 names. A researcher wishes to select a systematic sample of 100 names from the directory.
\begin{enumerate}[label=(\alph*)]
\item Explain in detail how the researcher should obtain such a sample.
\item Give one advantage and one disadvantage of
\begin{enumerate}[label=(\roman*)]
\item quota sampling,
\item systematic sampling.
\end{enumerate}\end{enumerate}

\hfill \mbox{\textit{SPS SPS SM Statistics 2026 Q1 [6]}}