Math Problem Statement

Sample mean is a parameter or statistic? Group of answer choices

Parameter

Statistic

Solution

The sample mean is a statistic.

Here's why: A statistic is a numerical characteristic calculated from a sample, while a parameter refers to a numerical characteristic of a population. The sample mean is the average of a sample, not the entire population, so it is a statistic.

Would you like more details on the differences between a parameter and a statistic?

Here are some related questions:

  1. What is the difference between a sample and a population?
  2. How do you calculate the sample mean?
  3. What is the significance of the population mean in statistics?
  4. Can a sample mean be used to estimate the population mean?
  5. How does sample size affect the accuracy of a sample mean?

Tip: The sample mean becomes a better estimate of the population mean as the sample size increases, due to the Law of Large Numbers.

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Math Problem Analysis

Mathematical Concepts

Statistics
Descriptive Statistics

Formulas

Sample Mean Formula: (Σx_i) / n

Theorems

Law of Large Numbers

Suitable Grade Level

Grades 7-10