For males in a certain town, the systolic blood pressure is normally distributed with a mean of 130 and a standard deviation of 6. using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7 of males.

To solve the problem we will find intervals for each percentage of data according to the Empirical rule.

The interval of systolic blood pressures of 99.7% of the male is between 112 and 148.

Given to us

To find

The interval of systolic blood pressures represents the middle 99.7 of males.

68% of the data will fall in the first interval,

To calculate the first interval lower range subtract the standard deviation from the mean, while for the upper range add them.

130 - 6 = 124

130 + 6 = 136

Second Range

95% of the data will fall in the second interval,

To calculate the second interval lower range subtract two times the standard deviation from the mean, while for the upper range add them.

130 - 2(6) = 112

130 + 2(6) = 148

Third Range

95% of the data will fall in the third interval,

To calculate the third interval lower range subtract three times the standard deviation from the mean, while for the upper range add them.

130 - 3(6) = 118

130 + 3(6) = 142

Hence,  the interval of systolic blood pressures of 99.7% of the male is between 112 and 148.

Learn more about Empirical rules:

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