2.46 [EX02-046] People have marveled for years about the continuing eruptions of the geyser Old Faithful in Yellowstone National Park. The times of duration, in minutes, for a sample of 50 eruptions of Old Faithful are listed here.

4.00 3.75 2.25 1.67 4.25 3.92 4.53 1.85 4.63 2.00 1.80 4.00 4.33 3.77 3.67 3.68 1.88 1.97 4.00 4.50 4.43 3.87 3.43 4.13 4.13 2.33 4.08 4.35 2.03 4.57 4.62 4.25 1.82 4.65 4.50 4.10 4.28 4.25 1.68 3.43 4.63 2.50 4.58 4.00 4.60 4.05 4.70 3.20 4.60 4.73 Source: http://www.stat.sc.edu/~west/javahtml/Histogram.html

a. Draw a dotplot displaying the eruption-length data.

b. Draw a histogram of the eruption-length data using class boundaries 1.6–2.0–2.4–. . .–4.8.

c. Draw another histogram of the data using different class boundaries and widths.

d. Repeat part c.

e. Repeat parts a and b using the larger set of 107 eruptions found on the CD. [DS02-046]

f. Which graph, in your opinion, does the best job of displaying the distribution? Why?
g. Write a short paragraph describing the distribution.