Question

The systolic blood pressure is normally distributed with mean of 120 and standard deviation of 16....

The systolic blood pressure is normally distributed with mean of 120 and standard deviation of 16. Find

  1. What is the range for 68% of the population?
  1. What percent of the students would have blood pressure in the range of 88 and 152
  1. What is the variance?

Homework Answers

Answer #1

by emperical rule on normal distribution , we have

1) 68 % of data is distributed with in one standard deviation about mean .

2) 95% of data is distributed with in 2 standard deviation about mean .

a) here mean is 120 and standard deviation is 16 .

68% of population is with in 1 standard deviation . that is from 120-16= 104 to 120+16= 136 .

so range for 68% is 104 to 136

b) 88 means 120-2*16 and 152 means 120+2*16 .

so the region is with in two standard deviation about mean . so percentage is 95%

so 95% percentage with in 88 to 152

c) we know

variance= standard deviation2

so

variance= 162= 256

so variance is 256

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