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The percentage of her commutes will be between 50 and 58 minutes is 68%.
What Is an Empirical Rule in Statistics?
The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule, is a statistical rule that states that almost all observed data for a normal distribution will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).
Given: mean=54, standard deviation =4 min
The Empirical says,
mean-standard deviation= 54-4=50
mean - standard deviation= 54+4= 58.
Now,
P([tex]\mu[/tex]-6 ≤ X ≤ [tex]\mu[/tex] +6) ≈0.68
Hence, percentage of her commutes will be between 50 and 58 minutes is 68%.
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