##### Question

# Biostatistics in public health

1. Glucose levels in patients free of diabetes are assumed to follow a normal distribution with a mean of 120 and a standard deviation of 16.

a) What proportion of patients have glucose levels exceeding 115?

b) If a patient has a glucose level of 140, what percentile is this?

c) What is the probability that the mean glucose level exceeds 115 in a sample of 12 patients?

2. The following are body mass index (BMI) scores measured in 12 patients who are free of diabetes and participating in a study of risk factors for obesity. Bodymass index is measured as the ratio of weight in kilograms to height in meters squared.

25 27 31 33 26 28 38 41 24 32 35 40

a) Compute the mean BMI

b) Compute the standard deviation of BMI

c) Compute the median BMI

d) Compute Q1 and Q3

e) Are there outliers in the distribution of BMI (justify your answer)?