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:
- What is the difference between a sample and a population?
- How do you calculate the sample mean?
- What is the significance of the population mean in statistics?
- Can a sample mean be used to estimate the population mean?
- 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