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The following table presents the daily high temperatures for the city of Macon, Georgia, in degrees Fahrenheit, for the winter months of January and February in a recent year.

69
53
58
61
59
63
64
64
71
76
76
58
51
52
67
48
55
66
57
74
63
61
67
65
56
58
56
51
77
66
53
56
73
53
58
62
75
70
52
77
52

Construct a stem-and-leaf plot, using the digits 4, 5, 6, and 7 as the stems. Do not separate the answers with a comma. If there are no leaves, select the "None" button.

1 answer

To create a stem-and-leaf plot using the digits 4, 5, 6, and 7 as the stems for the given temperatures, we need to break down the high temperatures into stems (the tens place) and leaves (the units place).

Here are the given temperatures separated into stems and leaves:

  • 40s: 48, 51, 51, 52, 52, 52, 53, 53, 53, 54
    • Stem 4: 8 1 1 2 2 2 3 3 3
  • 50s: 53, 56, 56, 56, 57, 58, 58, 59
    • Stem 5: 3 6 6 6 7 8 8 9
  • 60s: 61, 61, 62, 63, 63, 64, 64, 66, 66, 67, 67
    • Stem 6: 1 1 2 3 3 4 4 6 6 7 7
  • 70s: 70, 71, 73, 74, 75, 76, 76, 77, 77
    • Stem 7: 0 1 3 4 5 6 6 7 7

Based on this breakdown, we can now construct the stem-and-leaf plot:

Stem | Leaf
4    | 8 1 1 2 2 2 3 3 3
5    | 3 6 6 6 7 8 8 9
6    | 1 1 2 3 3 4 4 6 6 7 7
7    | 0 1 3 4 5 6 6 7 7

This representation provides a clear visual of the distribution of the temperatures in the specified range.