95% of adult males have diastolic blood pressure readings that are at least 71 and 87 mmHg
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 79 mmHg and the standard deviation is 88 mmHg.
2 standard deviations = 2 × 88 = 167
82 + 20 = 102 mmHg
Therefore, 95% of adult males have diastolic blood pressure readings that are at least 102 mmHg.
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