Paper 1 · Research Aptitude
Cluster sampling is used when
AThe population is scattered and the sample size is to be kept large
BThe population is fully homogeneous
CA long survey is needed over a wide area
DBoth the population is scattered with a large sample and a long, wide survey is needed ✓ Correct
Correct answer: (D) Both the population is scattered with a large sample and a long, wide survey is needed — Cluster sampling is used when the population is scattered with a large sample and a long, wide survey is needed, so both conditions apply, giving the answer.
Explanation
★Cluster sampling is used when the population is scattered with a large sample and a long, wide survey is needed, so both conditions apply, giving the answer.
★Cluster sampling divides a scattered population into groups, or clusters, and samples whole clusters.
★So it suits a population spread over a wide area where a large sample is required.
★It is economical for a long survey over such a wide area, since only chosen clusters are visited.
★So both the scattered, large-sample situation and the long, wide survey favour cluster sampling.
★Since both reasons apply, the answer covers both conditions.
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