What is 3 standard deviations?
Understand the Problem
The question is asking for an explanation of what is meant by '3 standard deviations' in the context of statistics. This involves understanding the concept of standard deviation as a measure of variability or dispersion in a set of data and how it relates to the normal distribution.
Answer
99.7% of data in a normal distribution
3 standard deviations (σ) from the mean (μ) covers approximately 99.7% of the data in a normal distribution.
Answer for screen readers
3 standard deviations (σ) from the mean (μ) covers approximately 99.7% of the data in a normal distribution.
More Information
The empirical rule or three sigma rule states that for a normal distribution, about 68% of values lie within one standard deviation, about 95% lie within two standard deviations, and about 99.7% lie within three standard deviations from the mean.
Tips
A common mistake is to assume all distributions follow the empirical rule. This is only applicable for normal distributions.
Sources
- The web page with info on - Example Source - investopedia.com
- 68–95–99.7 rule - Wikipedia - en.wikipedia.org
- Empirical Rule: Understanding the Three Sigma Rule in Statistics - decodingdatascience.com
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