Final answer:
When conducting a cluster sample, it is better to have fewer clusters with more individuals when the clusters are heterogeneous. This increases the chances of capturing the diversity and variability within the population.
Step-by-step explanation:
When conducting a cluster sample, it is better to have fewer clusters with more individuals when the clusters are heterogeneous. In a cluster sample, the population is divided into clusters, and then some clusters are randomly selected. Each selected cluster includes all the individuals within that cluster. When the clusters are heterogeneous, meaning they have a lot of variability or differences within them, it is better to have fewer clusters with more individuals. This is because having more people within each cluster increases the chances of capturing the diversity and variability within the population.
For example, let's say we want to study the average height of students in different schools. If we have fewer schools (clusters) with more students in each school, we are more likely to capture the range of heights within the student population.