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# Algebra 2 Quiz 42 Flashcards

Created by
@FoolproofLemur

### What is the standard deviation of averages?

The standard deviation divided by the square root of the mean.

True

False

### A sampling distribution is a distribution of samples instead of individuals.

<p>True</p> Signup and view all the answers

### The central limit theorem states that the mean of the sample averages is equal to the mean of the individual values.

<p>True</p> Signup and view all the answers

### Coincidental evidence is an isolated case that is cited to support a claim.

<p>False</p> Signup and view all the answers

## Study Notes

### Standard Deviation and Sampling

• Standard deviation of averages = standard deviation / √(sample size).
• Important for understanding variability in sample means.

### Central Limit Theorem (CLT)

• As sample size increases, sampling distribution approaches a normal distribution regardless of the population's distribution.
• Sample mean averages become more consistent and "average" as the size grows.
• The mean of the sample averages equals the mean of the individual values, establishing a critical relationship in statistics.

### Sampling Distributions

• A sampling distribution consists of statistics (like means) calculated from multiple samples rather than from individual data points.
• Helps understand the behavior of estimates derived from random samples.

### Coincidental Evidence

• Coincidental evidence refers to isolated cases used to back a claim but lacks broader applicability.
• Often misleading; properly categorized as anecdotal evidence, which is not scientifically valid.

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## Description

Test your knowledge of Algebra 2 concepts with these flashcards. Focus on the standard deviation, central limit theorem, and properties of standard normal distributions. Each card presents a term with its definition for effective learning.

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