Big Ideas Math Algebra 2, 2014
BI
Big Ideas Math Algebra 2, 2014 View details
3. Collecting Data
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Exercise 3 Page 612

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

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Practice makes perfect

The manager of a concert hall wants to know how often people in the community attend concerts, so he asks 45 people already in line for a concert how many concerts they attend per year. Here, the population consists of all the people in the community and the sample is the 45 people asked. Samples can be classified into different categories.

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 members in one or more of the clusters are selected.
Convenience Sample Members that are readily available or easy to reach are selected.

The manager asks people who are already available, so this is a convenience sample. The sample is biased because the people asked are already going to the concert. This is sample that may overrepresent part of the community. The people being surveyed may be more likely to attend concerts.