1. Introduction to Statistics
Intro to Stats
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A survey of 40 gym members from a large gym finds an average work out duration is 52 minutes. Is this a parameter or a statistic?
A
Parameter
B
Statistic
Verified step by step guidance1
Understand the difference between a parameter and a statistic. A parameter is a numerical value that describes a characteristic of a population, while a statistic is a numerical value that describes a characteristic of a sample.
Identify the population and the sample in the given problem. The population refers to all gym members of the large gym, while the sample refers to the 40 gym members surveyed.
Recognize that the average workout duration of 52 minutes is calculated from the sample of 40 gym members, not the entire population.
Since the average workout duration is derived from a sample, it is considered a statistic, not a parameter.
Conclude that the average workout duration of 52 minutes is a statistic because it describes a characteristic of the sample, not the entire population.
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