Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
3. Collecting Data
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Exercise 7 Page 614

A population consists of all the members of a group of interest. A sample is a subset of the population.

Systematic sample.

Practice makes perfect

A population consists of all the members of a group of interest. Since it may be impractical to examine every member of a population, a sample — a subset of the population — is sometimes selected to represent the population. The sample can then be analyzed to draw conclusions about the entire population.

Let's consider our situation.

A taxicab company wants to know whether its customers are satisfied with the service. Drivers survey every tenth customer during the day.

Here, the population consists of the customers who use a certain taxicab company. The sample consists of every tenth customer each driver has during the day. 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 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.

In our situation, every tenth customer is surveyed. This means that we have a systematic sample.