The following table presents the manufacturer's suggested retail price (in $1000s) for base models and styles of BMW automobiles. Round the data to the nearest whole number (round .5 up) and construct a stem-and-leaf plot, using the numbers 3 through 14 as the stems. Do not separate the answers with a comma. If there are no leaves, select the "None" button.

Question

59.8
86.2
89.8
108.4
73.6
44
47.4
74.9
43.3
90.5
64.2
86.8
56.7
93.5
96.7
32.5
70.4
77.6
44.1
68.8
62.7
38.6
30.8
90.2
55.2
93.7
57.7
39.3
140.7
80.6

Answer 1

To construct a stem-and-leaf plot, we first need to round each value in the list to the nearest whole number and organize them based on their leading digits (stems).

Here are the prices rounded to the nearest whole number:

• 59.8 → 60
• 86.2 → 86
• 89.8 → 90
• 108.4 → 108
• 73.6 → 74
• 44 → 44
• 47.4 → 47
• 74.9 → 75
• 43.3 → 43
• 90.5 → 91
• 64.2 → 64
• 86.8 → 87
• 56.7 → 57
• 93.5 → 94
• 96.7 → 97
• 32.5 → 33
• 70.4 → 70
• 77.6 → 78
• 44.1 → 44
• 68.8 → 69
• 62.7 → 63
• 38.6 → 39
• 30.8 → 31
• 90.2 → 90
• 55.2 → 55
• 93.7 → 94
• 57.7 → 58
• 39.3 → 39
• 140.7 → 141
• 80.6 → 81

Next, we separate the data into stems (the leading digit or digits) and leaves (the trailing digit).

Here are the rounded values organized by the stems (rounding by tens):

• 30 | 1 3
• 40 | 4 4 7
• 50 | 5 5 7
• 60 | 2 3 4 8
• 70 | 0 4 7
• 80 | 1 6
• 90 | 0 0 1 3 4 7
• 100 | 8
• 140 | 1

Now, we can construct the stem-and-leaf plot:

Stem | Leaf
-----------
  30 | 1 3
  40 | 4 4 7
  50 | 5 5 7
  60 | 2 3 4 8
  70 | 0 4 7
  80 | 1 6
  90 | 0 0 1 3 4 7
  100 | 8
  140 | 1

This plot shows the distribution of the manufacturer's suggested retail prices for the BMW automobiles in a clear format.