Question

Background
Cholesterol is a waxy, fatty substance found in the bloodstream. Serum Cholesterol measures the level of both good (HDL) and bad (LDL) cholesterol in your blood. For adults, a desirable cholesterol level will be between 125 mg/dL and 200 mg/dL. A borderline high cholesterol count is between 200 mg/dL and 239 mg/dL, and any reading from 240 mg/dL and beyond is considered high.
High serum cholesterol levels could result in complications including stroke, heart attack, or coronary artery disease.

Part 1: Use and Interpret Data (20 points)
A sample of 100 patients from a single clinic returned the following statistics:
Mean 215.3 mg/dL  
Standard Deviation 22.16 mg/dL
Minimum 154 mg/dL
Quartile 1 199 mg/dL
Median 220 mg/dL  
Quartile 3 232 mg/dL
Maximum 288 mg/dL

Describe the shape of the distribution (consider both center and spread here to get a full picture of the shape).
Use the Empirical Rule to find the range of “usual cholesterol levels” for all patients of this clinic.
Give both fences that determine the boundaries for outliers.
Construct a boxplot from the information given above. Include any outliers as asterisks.
A patient has borderline high cholesterol of 200 mg/dL. What is their approximate percentile for this clinic?
A patient at this clinic is in the 75th percentile. What is the cholesterol level, and which group (desirable, borderline high, or high) is this patient part of?

Please explain in detail so i can a good understanding of this.

thanks

Answer 1