Is this statement true or false?"All Normal curves satisfy the "68-95-99.7" rule.
Question
Is this statement true or false?"All Normal curves satisfy the "68-95-99.7" rule.
Solution
The statement is true.
Here are the steps to explain why:
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The "68-95-99.7" rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within a certain number of standard deviations from the mean in a normal distribution.
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Specifically, the rule states that for a normal distribution:
- Approximately 68% of the data falls within one standard deviation of the mean.
- Approximately 95% falls within two standard deviations.
- Approximately 99.7% falls within three standard deviations.
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This rule applies to all normal distributions, regardless of the mean and standard deviation.
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Therefore, all Normal curves do satisfy the "68-95-99.7" rule.
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