Question

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of 8. Using the empirical rule, what percentage of males in the town have a systolic blood pressure between 109 and 141?

Answer 1

95% have a systolic blood pressure between 109 and 141

Empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviation from the mean.

Given that mean (μ) = 125, standard deviation (σ) = 8.

68% are within one standard deviation = μ ± σ = 125 ± 8 = (117, 133)

95% are within two standard deviation = μ ± 2σ = 125 ± 2*8 = (109, 141)

95% have a systolic blood pressure between 109 and 141

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