Question

fill in the blank with the appropriate word or phrase.

when a sample is obtained by drawing every nth item, the sample is called a sample.

convenience
cluster
random
stratified
systematic

Explanation:

Identify the sampling method definition

The question asks to identify the type of sample obtained by drawing every \(n^{\text{th}}\) item from a population.

Evaluate the given options

• convenience: Selecting members who are easy to reach.
• cluster: Dividing the population into groups, then selecting entire groups.
• random: Every member of the population has an equal chance of selection.
• stratified: Dividing the population into subgroups, then sampling from each subgroup.
• systematic: Selecting members at regular, periodic intervals (every \(n^{\text{th}}\) item).

Match definition to the correct term

Selecting every \(n^{\text{th}}\) element is the definition of systematic sampling.

Answer:

When a sample is obtained by drawing every nth item, the sample is called a <blank>systematic</blank> sample.