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Questions and Answers
What is another name for the Gaussian distribution?
What is another name for the Gaussian distribution?
- Uniform distribution
- Exponential distribution
- Normal distribution (correct)
- Poisson distribution
How is the Gaussian distribution characterized?
How is the Gaussian distribution characterized?
- By its mode only
- By its mean only
- By its standard deviation only
- By its mean and standard deviation (correct)
What does the Central Limit Theorem (CLT) describe?
What does the Central Limit Theorem (CLT) describe?
- The relationship between mean and median
- The distribution of random values
- The aggregation of numerous measurable quantities (correct)
- The behavior of outliers in a dataset
According to the Central Limit Theorem, what happens to the distribution of random values as the number of values in a sum rises?
According to the Central Limit Theorem, what happens to the distribution of random values as the number of values in a sum rises?
What does the Gaussian distribution describe?
What does the Gaussian distribution describe?
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Study Notes
Gaussian Distribution
- The Gaussian distribution is also known as the Normal Distribution or Bell Curve.
- It is characterized by a symmetrical, bell-shaped curve with a single peak at the mean, and tapering gradually to infinity in both directions.
Central Limit Theorem (CLT)
- The Central Limit Theorem describes how the distribution of random values will approach a Gaussian distribution as the number of values in a sum increases.
- As the number of values in a sum rises, the distribution of the sum will tend towards a Gaussian distribution, even if the individual values are not normally distributed.
Gaussian Distribution Applications
- The Gaussian distribution describes the distribution of continuous variables that are influenced by a large number of small, random factors, such as human heights, IQ scores, or errors in measurement.
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