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?

Question

Mathematics

Terrance Parsons

17 February, 19:57

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?

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Katelynn Allen · 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.