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mash [69]
3 years ago
12

The systolic blood pressure of 18- year- old women is normally distributed with a mean of 120 mmHg and a standard deviation of 1

2 mmHg. What percentage of 18- year- old women have a systolic blood pressure that lies within 3 standard deviations to either side of the mean?

Mathematics
2 answers:
tatyana61 [14]3 years ago
7 0

Answer: 99.7% of of 18- year- old women have a systolic blood pressure that lies within 3 standard deviations to either side of the mean

Step-by-step explanation:

We would apply the standard deviation rule. The Standard Deviation 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 120 mmHg and the standard deviation is 12 mmHg.

Therefore,

99.7% of of 18- year- old women have a systolic blood pressure that lies within 3 standard deviations to either side of the mean.

luda_lava [24]3 years ago
6 0

Answer:

99.74%

Step-by-step explanation:

Using empirical rule (68 - 95 - 99.7)

Approximately, 99.7% data falls in 3 standard deviation of the mean.

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