Questions: A local school newspaper's editor wants to survey students to determine the approval rating of the current student council president. How would the newspaper apply the cluster sampling method to find this information?

A local school newspaper's editor wants to survey students to determine the approval rating of the current student council president.

How would the newspaper apply the cluster sampling method to find this information?

Transcript text: A local school newspaper's editor wants to survey students to determine the approval rating of the current student council president. How would the newspaper apply the cluster sampling method to find this information?

Solution

Solution Steps

Step 1: Define the Population

The population in this context consists of all the students in the local school. This includes students from different grades, classes, and possibly different sections within each grade.

Step 2: Identify Clusters

Clusters in this context could be naturally occurring groups within the school, such as different classes, grades, or sections. For example, each class in the school can be considered a cluster.

Step 3: Randomly Select Clusters

Using a random selection method, choose a certain number of clusters from the identified groups. For instance, if the school has 30 classes, you might randomly select 5 classes to form your sample.

Step 4: Survey All Members of Selected Clusters

Once the clusters are selected, survey all students within those chosen classes to determine the approval rating of the current student council president. This ensures that the sample is representative of the entire student population.