The geyser Old Faithful in Yellowstone National Park alternates periods of eruption, which typically last from 1.5 to 4 minutes, with periods of dormancy, which are considerably longer. The following table presents the durations, in minutes, of 60 dormancy periods that occurred during a recent year.

a. Construct a frequency distribution using a class width of 5, and using 55 as the lower class limit for the first class.

b. Construct a frequency histogram from the frequency distribution in part (a).

c. Construct a relative frequency distribution using the same class width and lower limit for the first class.

d. Construct a relative frequency histogram.

e. Are the histograms skewed to the left, skewed to the right, or approximately symmetric?

f. Repeat parts (a)–(d), using a class width of 10, and using 50 as the lower class limit for the first class.
g. Do you think that class widths of 5 and 10 are both reasonably good choices for these data, or do you think that one choice is much better than the other? Explain your reasoning.

Transcribed Image Text:

91 99 99 83 99 85 90 96 88 93 88 88 92 116 59 101 90 71 103 97 82 91 89 89 94 94 61 96 66 105 90 93 88 92 86 93 95 83 90 99 89 94 90 95 93 105 96 92 101 91 94 92 94 86 88 99 90 99 84 92