Question

alejandro wants to determine the average shoe size of all of the male students in his school. which sample is likely to yield the most biased results?
every tenth boy on the school’s phone list
every member of the boys’ basketball team
every boy in a randomly selected ninth-, tenth-, eleventh-, and twelfth-grade gym class
every fifth boy who walks through the front doors of the school in the morning

Explanation:

To determine biased sampling, we analyze each option:

• "Every tenth boy on the school’s phone list" is a systematic sample, likely representative.
• "Every member of the boys’ basketball team" is biased because basketball players typically have larger shoe sizes (due to height/sport requirements), so this sample doesn’t represent all male students.
• "Every boy in randomly selected gym classes" includes diverse grades, reducing bias.
• "Every fifth boy through front doors" is a systematic sample of students arriving, somewhat representative.

The basketball team sample is the most biased as it targets a group with non - typical shoe sizes.

Answer:

B. every member of the boys’ basketball team