A numerical measure from a population, such as a population mean, is called ___. Group of answer choicesa parametera samplea statisticthe mean deviation
Question
A numerical measure from a population, such as a population mean, is called ___.
Group of answer choices
- a parameter
- a sample
- a statistic
- the mean deviation
Solution
The correct answer is a parameter.
Explanation:
In statistics, a parameter is a numerical value that summarizes characteristics of a population. It is a fixed value that describes an aspect of a population—like the population mean (denoted as ) or population standard deviation (denoted as ). On the other hand, a statistic refers to a numerical measure that describes a characteristic of a sample drawn from a population. For example, the sample mean (denoted as ) serves as a statistic that estimates the population mean. Hence, when referring to numerical measures that are derived from the entire population, the term "parameter" is the appropriate choice.
Summary:
- Parameter: A numerical measure from a population.
- Statistic: A numerical measure from a sample.
- Mean Deviation: A measure of the average distance between each data point and the mean.
- Conclusion: The answer is a parameter.
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