In a study, the mean height of all students in a university is calculated using the heights of every student. Is this mean value a or a ?
A
B
It depends on the sample size
C
D
Neither parameter nor statistic
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1
Understand the definitions: A parameter is a numerical value that describes a characteristic of an entire population, while a statistic describes a characteristic of a sample drawn from the population.
Identify the data source: In this problem, the mean height is calculated using the heights of every student in the university, meaning the entire population is measured.
Determine if the value is a parameter or statistic: Since the mean is calculated from the entire population, it represents a parameter, not a statistic.
Clarify the role of sample size: The sample size is irrelevant here because no sample is taken; the entire population is used.
Conclude that the mean height calculated from all students is a parameter because it describes the whole population.