Gibbs Vargas
01/14/2023 · Senior High School
The empirical rule does not apply to all normally distributed variables.
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True or False?
True.
The empirical rule, also known as the 68-95-99.7 rule, applies to normally distributed variables. It states that:
- Approximately 68% of the data falls within one standard deviation of the mean.
- Approximately 95% of the data falls within two standard deviations of the mean.
- Approximately 99.7% of the data falls within three standard deviations of the mean.
However, not all normally distributed variables follow this rule exactly. There are cases where the distribution is slightly skewed or has heavier tails, which can cause the percentages to deviate slightly from the empirical rule. Additionally, the rule is based on the assumption that the data is normally distributed, so if the data is not normally distributed, the empirical rule will not apply.
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The empirical rule does not apply to all normally distributed variables.
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