2
QuizMultiple Choice

Data Displays and Statistics

Question 2 • Concepts in Probability and Statistics A

Ariel wants to find out the most popular theme for spirit week at school. She cannot decide between two methods. Option 1: She will poll each student who leaves the gym after sports practice.Option 2: She will randomly poll three students from each first-period class.Which statement about the methods is true?

Answer
A
Option 1 is biased.
B
Option 2 is biased.
C
Neither is biased.
D
Both are biased.

Explanation

Option 1 surveys only students who leave the gym after sports practice, so students who do not participate in sports may be left out. Their preferences could differ from the rest of the school, making the sample biased. Option 2 randomly selects students from every first-period class, which gives students across those classes a chance to be included; therefore, the true statement is that Option 1 is biased.

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