Determine whether the given value is a statistic or a parameter.

A study was conducted of all 2786 car owners in a certain country. Choose the correct answer below.

A. The value is a statistic because it is a numerical measurement describing some characteristic of a population.
B. The value is a parameter because it is a numerical measurement describing some characteristic of a sample.
C. The value is a parameter because it is a numerical measurement describing some characteristic of a population.
D. The value is a statistic because it is a numerical measurement describing some characteristic of a sample.

Question

19-07-2024
Mathematics

Answered

Determine whether the given value is a statistic or a parameter.

A study was conducted of all 2786 car owners in a certain country. Choose the correct answer below.

A. The value is a statistic because it is a numerical measurement describing some characteristic of a population.
B. The value is a parameter because it is a numerical measurement describing some characteristic of a sample.
C. The value is a parameter because it is a numerical measurement describing some characteristic of a population.
D. The value is a statistic because it is a numerical measurement describing some characteristic of a sample.

Answer :

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Final answer:

A parameter describes a population characteristic, while a statistic represents a sample characteristic. In this case, the value obtained is a parameter as it reflects the entire population of car owners.

Explanation:

Parameter is a numerical measurement describing some characteristic of a population, while a statistic is a numerical measurement describing some characteristic of a sample. In the given scenario where a study was conducted of all car owners in a country, the value obtained represents a parameter because it pertains to the entire population of car owners.

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