Big Ideas Math Algebra 2, 2014
BI
Big Ideas Math Algebra 2, 2014 View details
3. Collecting Data
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Exercise 11 Page 614

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

See solution.

Practice makes perfect

We want to find out whether booth holders at a convention were pleased with their booth locations. To do so, we divide the convention center into six sections and survey every booth in the fifth section. Here, the population consists of all booth holders at the convention and the sample of the booth holder in the fifth section. 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.

We divide the convention center into six sections and survey only booth holders from the fifth section. Therefore, this is cluster sample. The sample is biased because the booth holders in the one selected section can have completely different opinion about their location than holders from other sections.