Acertain county school district has 15 high schools. the high school seniors’ plans after graduation in each school vary greatly from one school to the next. the county superintendent will select a sample of high school seniors from the district to survey about their plans after graduation. the superintendent will use a cluster sample with the high schools as clusters. a random sample of 5 high schools will be selected, and all seniors at those high schools will complete the survey. what is one disadvantage to selecting a cluster sample to investigate the superintendent’s goal?

One disadvantage to selecting a cluster sample to investigate the superintendent’s goal is that the schools in the cluster sample might not be representative of the population of seniors

For better understanding let's explain what cluster sampling means

From the above we can therefore say that the answer One disadvantage to selecting a cluster sample to investigate the superintendent’s goal is that the schools in the cluster sample might not be representative of the population of seniors is correct

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The downside is that clusters may not really be homogeneous between them.

Explanation:

Cluster sampling is a probabilistic sampling procedure in which population elements are randomly selected. Naturally by clusters. Cluster sampling helps us when it is impossible or impractical to create a sampling frame of a target population because it is geographically spread, as shown in the question above, and the cost of data collection is relatively high.

The main advantage of this technique is the operational part: selecting a cluster is often easier and cheaper than making a random or systematic sample. Using geographic clusters can represent significant savings in displacement.

The main disadvantage is the risk that clusters are not really homogeneous between them. In the example cited in the question above, it could happen that one of the schools is more prone to more seniors because it is a school with larger classes.

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