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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
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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 μ \mu ) or population standard deviation (denoted as σ \sigma ). 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 xˉ \bar{x} ) 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.

This problem has been solved

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