Question

Alan is conducting a surgery to find out the type of art preferred by students at the town's high school. Identify the population of his survey and describe a possible sample of the population.

Answer 1

Sample Response: The population of Alan's survey is all the students at the town's high school. The sample must be representative of the population. A possible sample would be an equal number of freshman, sophomores, juniors, and seniors.

Explanation:

Answer 2

Population: all of the students at the town's high school

Sample Examples:

- An equal fraction of students from each grade.

- Every 5th student arriving at the school at a certain day.

Explanation:

The population of a survey is the group whose data is desired.

If Alan wants to determine the type of art preferred by students at the town's high school, the population of his survey is all of the students at the town's high school.

It might not be realistic to interview every student, which is why samples are used. Samples must be designed in a way that represents the whole population without bias. One way to do it would be to survey an equal fraction of students from each grade. Another alternative, is to randomly survey every 5th student arriving at the school at a certain day.