Solve question 5

5. Following are a simple random sample of heights (in inches) of nandina bushes grown in a nursery. All bushes are of the same species: 24.4 32.8 29.9 31 33 48.7 51.5 54 53 54 31 30.1 30.9 33.7 34 53 47.5 46.7 49.4 51.1 33.7 35.8 32.9 30.7 23.6 49.4 50.9 50.7 52.5 52.2 30.7 22.3 34.9 20.9 31.1 52.5 49.5 49 47.4 54.7 20.9 31.9 22.9 32.8 24.4 47.4 54.3 50.9 51.5 48.7 (5 Points) A. Characterize this distribution in terms of center and spread (variation). B. Draw a histogram and describe its shape. (If you use your calculator to create a histogram, be sure to try different Xscl, Xmin, and Xmax settings in WINDOW. You don't need to label all your class boundaries.) C. Offer a theory as to why the shape looks as it does. Be sure to give the locations of the main features (for example, at what values are the gaps, if there are any gaps). D. What would be a good strategy for sorting and characterizing these data? E. How do the mean and median compare? What do the IQR and standard deviation say about this distribution