Question

The following data represent the serum HDL cholesterol of the 45 patients of a family doctor.

41 62 67 60 54 48 75 69 60 54 43 77 69 60 55 38 58 70 61 56 35 82 65 62 56 44 55 74 64 58 44 85 74 64 57 37 39 72 63 56

(a) Compute the population mean and standard deviation.

(b) Draw a histogram to verify the data is bell-shaped.

(c) Determine the percentage of patients and also the total number of patients that have serum HDL between 40.72 and 83.53 according to the Empirical Rule

Answer 1

(a) Compute the population mean and standard deviation.

Formula Reference:

(b) Draw a histogram to verify the data is bell-shaped.

No it looks like left - skewed.

Formula Reference:

(c) Determine the percentage of patients and also the total number of patients that have serum HDL between 40.72 and 83.53 according to the Empirical Rule

z score normal distribution formula:

z = (x - μ) / σ

z = (40.72 - 59.08) / 12.33 = -1.5

z = (85.53 - 59.08) / 12.33 = 2.1

P(-1.5 < z < 2.1) = 0.9153 = 91.53 %