Big Ideas Math Algebra 2, 2014
BI
Big Ideas Math Algebra 2, 2014 View details
3. Collecting Data
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Exercise 12 Page 614

A bias is an error that results in a misrepresentation of a whole population.

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Practice makes perfect

Every tenth employee who arrives at a company health fair answers a survey that asks for opinions about new health-related programs. Here, the population consists of all employees and the sample of every tenth employee surveyed. Let's recall how samples can be classified.

Name Characteristic
Random Sample Each member of the population has an equal chance of being selected.
Self-selected Sample Members volunteer to be included in the sample.
Systematic Sample Members are selected according to a specified interval from a random starting point.
Stratified Sample The population is first divided into smaller groups that share a similar characteristic. Members are then randomly selected from each group.
Cluster Sample The population is first divided into groups called clusters. All of the members in one or more of the clusters are selected.
Convenience Sample Members that are readily available or easy to reach are selected.

Every tenth employee who arrives at a company health fair answers a survey. Therefore, this is systematic sample. Note that only employees who attend the company health fair are surveyed, however. These employees are more likely to have strong opinions about the new health-related programs. Therefore, we could conclude that the sample is biased.