How to use the empirical rule to find percentage?
Understand the Problem
The question is asking how to apply the empirical rule, which is a statistical concept, to calculate percentages related to a normal distribution. The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations. The user is likely looking to understand how to use this rule to determine the percentage of data that falls within a certain range around the mean.
Answer
68% within 1σ, 95% within 2σ, and 99.7% within 3σ.
The percentages are 68% within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations.
Answer for screen readers
The percentages are 68% within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations.
More Information
The empirical rule helps in quickly estimating the spread of data in a bell-shaped, normal distribution.
Sources
- Using the Empirical Rule to Identify Percentages of a Normal Distribution - study.com
- Empirical Rule: Definition, Formula, Example, How It's Used - investopedia.com
- Empirical Rule: Definition & Formula - Statistics By Jim - statisticsbyjim.com
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