Suppose that diastolic blood pressure readings of adult males have a bell-shaped distribution with a mean of 82 mmHg and a standard deviation of 12 mmHg. Using the empirical rule, what percentage of adult males have diastolic blood pressure readings that are no more than 94 mmHg?

68%

Step-by-step explanation:

Suppose that diastolic blood pressure readings of adult males have a bell-shaped distribution with a mean of 82 mmHg and a standard deviation of 12 mmHg. Using the empirical rule, what percentage of adult males have diastolic blood pressure readings that are no more than 94 mmHg?

Empirical rule states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

We are given:

mean of 82 mmHg and a standard deviation of 12 mmHg.

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

μ - σ

82- 12

= 70mmHg

μ + σ.

= 82 + 12

= 94 mmHg

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