A sample of students will be selected from all the students at a high school. Which of the following sampling methods is least likely to produce a representative sample of the students

B. Divide the students into the four class years (freshman, sophomore, junior, senior) and randomly select students from each year in proportion to the number of students in each year.

Step-by-step explanation:

The question is missing the options. The options should be:

A. From a list of all student names, randomly select 50 names from the list for the sample.

B. Divide the students into the four class years (freshman, sophomore, junior, senior) and randomly select students from each year in proportion to the number of students in each year.

C. From a randomly chosen home basketball game, choose every tenth student who enters the gymnasium.

D. Randomly choose five classrooms in the school and use all the students in those classrooms for the sample.

E. From a numbered list of all student names, randomly choose a starting point and then choose every tenth student on the list.

From reading the option, the option A and E is pretty similar. It is a simple random sampling from the list of all students. Option C is bad because you random based on the student that watch a basketball game. Option D doing random sampling but randomize classes instead of an individual student.

The best method will be option B since you randomized the number in proportion to the number of the class of the student. This randomization is called cluster sampling.