QQuestionStatistics
QuestionStatistics
Choose the best definitions of parameter and statistic.
A. A statistic is a variable that describes a sample and a parameter is a variable that describes a population.
B. A parameter is an unknown characteristic of a group and a statistic is a known characteristic of a group.
C. A statistic is a number that describes a population and a parameter is a number that describes a sample.
D. A statistic is a number that describes a sample and a parameter is a number that describes a population.
E. A parameter is a number that describes a population.
F. A statistic is a number that is used to estimate a parameter.
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Answer
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Step 1:: Identify the correct definitions of parameter and statistic.
A parameter is a number that describes a population, while a statistic is a number that describes a sample. This is definition D.
Step 2:: Explain why this definition is the correct one.
In statistical analysis, we often study properties of populations, which are usually too large to examine completely. Instead, we take samples from the population and study those. The properties we calculate from the samples are called statistics, and the properties of the entire population are called parameters.
Step 3:: Highlight the key difference between parameter and statistic.
The key difference is the scope of the description: a parameter describes the entire population, while a statistic describes only a sample from the population.
Step 4:: Summarize the answer.
In summary, a parameter is a number that describes a population, and a statistic is a number that describes a sample. This is definition D.
Final Answer
In summary, a parameter is a number that describes a population, and a statistic is a number that describes a sample. This is definition D.
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