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 35 Page 616

Recall all of the types of samples.

See solution.

Practice makes perfect

Let's recall all of the types of samples. We will start with samples that do not require dividing population into groups.

Type of Sample Sample
Self-Selected Sample Members of a population volunteer to be in the sample.
Systematic Sample Members of a population are selected according to a particular rule.
Convenience Sample Members of a population who are easy to reach are selected.

Next, we have two types of samples in which we divide a population into groups.

Type of Sample Division Into Groups Sample
Stratified Sample Each group contains people that share similar characteristics. Members are randomly selected from each group.
Cluster Sample Each group contains people randomly selected from a population. Members in one or more of the groups — clusters — are selected.

In a self-selected sample we have mostly people with strong opinions towards the topic, and in a convenience sample people easy to reach for us are often similar to us. This means that in both cases some parts of a population can be underrepresented. Therefore, self-selected and convenience samples are most likely to lead to biased results.