Which of the following yields a systematic sample?
A)All students in a class are divided into groups of 15.One student is randomly chosen from the 1st group, the remaining observations are every 15th student thereafter.
B)The best 15 students, according to the opinion of the instructor, in a class are selected.
C)All students in a class are grouped according to their gender.A random sample of 8 is selected from the males and a separate random sample of 7 is drawn from the
Females.
D)A random sample of 15 students is selected from a class without replacement.

Question

Quizplus · Accepted Answer

A systematic sample involves selecting every kth element from a population. In this case, the first element is randomly selected from the first group, and then every 15th student after that is selected, which is a systematic sampling method. All the other choices do not involve systematically selecting every kth element from the population. A systematic sample involves selecting every kth individual from a population list. In this scenario, students are divided into groups of 15 and then every 15th student is chosen, resulting in a systematic sample. Option B involves subjective criteria and does not use a systematic sampling method. Option C involves stratified sampling, where specific subgroups are sampled separately, but it is not a systematic sample. Option D involves simple random sampling, where individuals are randomly selected without any systematic order.

Which of the Following Yields a Systematic Sample