Question

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 10 mmHg. Using the empirical rule, what percentage of adult males have diastolic blood pressure readings that are at least 102 mmHg?

Answer 1

Answer: 95% of adult males have diastolic blood pressure readings that are at least 102 mmHg

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 82 mmHg and the standard deviation is 10 mmHg.

2 standard deviations = 2 × 10 = 20

82 + 20 = 102 mmHg

Therefore, 95% of adult males have diastolic blood pressure readings that are at least 102 mmHg.