The problem asks us to determine whether two given surveys are random or biased. - Problem 1: David surveys only the boys in his class for the class's favorite color. - Problem 2: Mary surveys random students in the school for the school's favorite sport.

Probability and StatisticsSamplingBiasRandomnessSurveys
2025/4/8

1. Problem Description

The problem asks us to determine whether two given surveys are random or biased.
- Problem 1: David surveys only the boys in his class for the class's favorite color.
- Problem 2: Mary surveys random students in the school for the school's favorite sport.

2. Solution Steps

- Problem 1:
David surveys only the boys in his class to determine the class's favorite color. Since he only surveys the boys, the girls in the class are not represented in the sample. This means the sample is not representative of the entire class. Therefore, the sample is biased.
- Problem 2:
Mary surveys random students in the school to determine the school's favorite sport. Since she is surveying random students, the sample should be representative of the entire school. Therefore, the sample is random.

3. Final Answer

1. Biased

2. Random

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