Question

Suppose that diastolic blood pressure readings of adult males have a bell-shaped distribution with a mean of 80 mmHg and a standard deviation of 11 mmHg. Using the empirical rule, what percentage of adult males have diastolic blood pressure readings that are greater than 102 mmHg?

Answer 1

Given that, mean = 80 mmHg

standard deviation = 11 mmHg

By Empirical rule, approximately 95% of the data fall within 2 standard deviations of the mean. That is 95% of the adult males have diastolic blood pressure readings that are between 58 mmHg and 102 mmHg.

Therefore, 100 - 95 = 5% of the data fall outside the 2 standard deviations of the mean.

And 5/2 = 2.5% of the data fall below 58 mmHg and fall above 102 mmHg.

Hence, 2.5% of adult males have diastolic blood pressure readings that are greater than 102 mmHg.

Answer : 2.5%