About ____ of the x values occur between –1σ and +1σ of the mean μ.
Question
About ____ of the x values occur between –1σ and +1σ of the mean μ.
Solution
Approximately 68% of the x values occur between -1σ and +1σ of the mean μ. This is a fundamental rule in statistics known as the Empirical Rule or the 68-95-99.7 rule. This rule states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
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