Chapter 17, Problem 48E

Exercises 45 through 48 refer to the following: As part of a research project, the blood pressures of 2000 patients in a hospital are recorded. The systolic blood pressures (given in millimeters) have an approximately normal distribution with mean $\mu =125$ and standard deviation $\sigma =13$.

a. Assuming that there were no outliers, estimate the value of the lowest (Min) and the highest (Max) blood pressures.

b. Assuming that there were no outliers, give an estimate of the five-number summary $(\text{Min},Q_1,\mu ,Q_3,\text{Max})$ of the distribution of blood pressures.