Answer:
68%
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