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Determine whether the given method of data collection is a sample survey, an observational study, or an experiment. Explain your reasoning. Then, identify the population, the sample, and the characteristic of interest.

A high school principal wants to determine whether students who work in groups in geometry class receive higher grades than students who do not work in groups. He directs 5 of the geometry classes to participate in group work and 5 of the geometry classes to complete their work individually.



Answer :

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Final answer:

The scenario involves an experiment conducted by a high school principal to compare the grades of students working in groups versus individually in geometry class.


Explanation:

Experiment: The method of data collection described is an experiment where the high school principal directs some geometry classes to work in groups and others to work individually to observe the impact on grades.

Population: The population consists of all students enrolled in geometry classes at the high school.

Sample: The sample includes the 10 geometry classes selected by the principal to participate in the experiment - 5 classes working in groups and 5 working individually.

Characteristic of Interest: The characteristic of interest is the grades of students based on whether they work in groups or individually.


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