which of the following is an example of cluster sampling?\na. selecting 5 cities at random and surveying all…

which of the following is an example of cluster sampling?\na. selecting 5 cities at random and surveying all residents in those cities\nb. selecting 10 schools at random and surveying all teachers in those schools\nc. dividing the population by age group and sampling equally from each group\nd. surveying every 10th visitor to a website

which of the following is an example of cluster sampling?\na. selecting 5 cities at random and surveying all residents in those cities\nb. selecting 10 schools at random and surveying all teachers in those schools\nc. dividing the population by age group and sampling equally from each group\nd. surveying every 10th visitor to a website

Answer

Brief Explanations:

Cluster sampling involves dividing the population into clusters (groups) and then randomly selecting some of these clusters. All members within the selected clusters are then included in the sample.

  • Option a: Cities are clusters, and all residents (members) in selected cities (clusters) are surveyed. This fits the definition of cluster sampling.
  • Option b: If the population is teachers in a larger area (e.g., a state or country), schools are clusters. Selecting schools (clusters) randomly and surveying all teachers (members) in those schools is also cluster sampling.
  • Option c: Dividing by age group is stratification (stratified sampling), not clustering.
  • Option d: Surveying every 10th visitor is systematic sampling.

Answer:

A. Selecting 5 cities at random and surveying all residents in those cities, B. Selecting 10 schools at random and surveying all teachers in those schools