Example 1.7 The figure below presents stem-and-leafy designated by Golf Magazine

Question

Example 1.7 The figure below presents stem-and-leafy designated by Golf Magazine as among the most challenging in the United States. Among the sample of 40 courses, the shortest is 00 a roughly uniform fashion over the range of values in the sample. Notice that a stem choice here of either a single digit (6 or 7) or three digits (643, . . . ,728) would yield an uninformative display, the first because of too few stems and the latter because of too many displays for a random sample of lengths of golf courses (yards) that have been Xyards long, and the longest is 98 x yards. The lengths appear to be distributed in Statistical software packages do not generally produce displays with multiple-digit stems. The MINITAB display in the figure on the right results from truncating each observation by deleting the ones digit 64 | 35 64 3370 Stem: Thousands and hundreds digits 65 26 27 06 83 Leaf: Tens and ones digits 66 05 94 14 67 90 70 00 98 70 45 13 68 90 70 73 50 69 00 27 36 04 70 51 05 1 40 50 22 71 31 69 68 05 13 65 72 80 09 Stem-and-leaf of yardage N= 40 Leaf Unit- 10 64 3367 65 0228 66 019 67 0147799 68 5779 69 0023 70 012455 71 013666 72 08 18 18 14 8 Stem-and-leaf displays of golf course lengths: (a) two-digit leaves; (b) display from Minitab with truncated one-digit leaves

Explanation / Answer

Among the sample of 40 courses, the shortest is 6433 yards long and the longest is 7280 yards.

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