Question 1.88

1.88 Longleaf pine trees. The Wade Tract in Thomas County, Georgia, is an old-growth forest of longleaf pine trees (Pinus palustris) that has survived in a relatively undisturbed state since before the settlement of the area by Europeans. A study collected data on 584 of these trees. 29 One of the variables measured was the diameter at breast height (DBH). This is the diameter of the tree at 4.5 feet and the units are centimeters (cm). Only trees with DBH greater than 1.5 cm were sampled. Here are the diameters of a random sample of 40 of these trees:

PINES

10.5 13.3 26.0 18.3 52.2 9.2 26.1 17.6 40.5 31.8
47.2 11.4 2.7 69.3 44.4 16.9 35.7 5.4 44.2 2.2
4.3 7.8 38.1 2.2 11.4 51.5 4.9 39.7 32.6 51.8
43.6 2.3 44.6 31.5 40.3 22.3 43.3 37.5 29.1 27.9
  1. (a) Find the five-number summary for these data.

  2. (b) Make a boxplot.

  3. (c) Make a histogram.

  4. (d) Write a short summary of the major features of this distribution. Do you prefer the boxplot or the histogram for these data?