Questions: Question 21 1 pts Which of the following statements is true about a statistic? A statistic is a characteristic of a sample of scores. A statistic cannot be calculated for samples. A statistic can never be used to estimate or make a decision about a parameter. A statistic is a characteristic of a population.

Question 21
1 pts

Which of the following statements is true about a statistic?
A statistic is a characteristic of a sample of scores.
A statistic cannot be calculated for samples.
A statistic can never be used to estimate or make a decision about a parameter.
A statistic is a characteristic of a population.
Transcript text: Question 21 1 pts Which of the following statements is true about a statistic? A statistic is a characteristic of a sample of scores. A statistic cannot be calculated for samples. A statistic can never be used to estimate or make a decision about a parameter. A statistic is a characteristic of a population.
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Solution

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Solution Steps

Step 1: Understanding the Definition of a Statistic

A statistic is a numerical value that summarizes or describes a characteristic of a sample. It is derived from the data collected from a subset of a population.

Step 2: Analyzing Each Statement
  • Statement A: "A statistic is a characteristic of a sample of scores."
    This is true because a statistic is indeed a characteristic of a sample, not the entire population.

  • Statement B: "A statistic cannot be calculated for samples."
    This is false because statistics are specifically calculated from sample data.

  • Statement C: "A statistic can never be used to estimate or make a decision about a parameter."
    This is false because statistics are often used to estimate population parameters (e.g., sample mean estimates population mean).

  • Statement D: "A statistic is a characteristic of a population."
    This is false because a statistic describes a sample, not the entire population.

Step 3: Identifying the Correct Statement

Based on the analysis, only Statement A is correct.

Final Answer

\\(\boxed{\text{A}}\\)

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