2
AssignmentMultiple Select

Sampling Methods

Question 2 • Common Core Math 7 - MA3107 CR

To determine how a city’s residents feel about building a new youth center, a group considers surveying 50 random children at a local elementary school. Why would this result in a biased sample? Select three answers.

Answer
A
The sample ignores the adult portion of the city’s residents.
B
The students were randomly chosen.
C
Children are probably more likely to be in favor of a new youth center.
D
Some students may not have an opinion.
E
The sample does not include children in middle school or high school.

Explanation

The survey aims to represent all of the city’s residents, but sampling only elementary school children leaves out adults, so A is correct. Elementary students may also be more likely than other residents to support a youth center, making the sample unrepresentative (C). The survey also misses children in middle school and high school, who may have different views (E). Randomly selecting students within the elementary school does not fix these coverage problems, and some people having no opinion does not by itself make the sample biased.

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