Boxplot Using the same standing heights listed in Exercise, construct a boxplot and include the values of the 5-number summary. Does the boxplot indicate that the data are from a population with a normal (bell-shaped) distribution? Explain.

Exercise

Ergonomics When designing an eye-recognition security device, engineers must consider the eye heights of standing women. (It’s easy for men to bend lower, but it’s more difficult for women to rise higher.) Listed below are the eye heights (in millimeters) obtained from a simple random sample of standing adult women (based on anthropométrie survey data from Gordon, Churchill, et al.). Use the given eye heights to find the (a) mean; (b) median; (c) mode; (d) midrange; (e) range; (f) standard deviation; (g) variance; (h) Q1; (i) Q3.

Solution 3RE

From the given information, the simple random sample of eye heights ( in millimeters) of standing adult women are 1550, 1642, 1538, 1497, and 1571.