Question

you want to assess the attitudes toward math by the students in your school district. first, divide the district into groups—in this case, the 20 different high schools. then, select five of the schools randomly. this concludes the first stage. in each school, there are natural groups of students (each math class represents a group), so you select five classes randomly from each school. these are the students you will sample.
the situation above is an example of which sampling type?
○ cluster sampling
○ systematic sampling
○ stratified random sampling
○ bivariate sampling

Explanation:

This sampling method involves first randomly selecting larger groups (schools) from the population, then randomly selecting smaller subgroups (math classes) within the chosen larger groups. This matches the definition of cluster sampling, where the population is divided into naturally occurring clusters, random clusters are selected, and then elements within those selected clusters are sampled. Systematic sampling uses a fixed interval to select samples, stratified sampling divides the population into distinct strata and samples from each, and bivariate sampling focuses on two variables, none of which fit the described process.

Answer:

Cluster sampling