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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.

65
48
64
56
76
69
58
53
48
61
61
51
67
66
68
63
77
73
77
67
59
70
64
57
53
58
52
51
58
60
52
56
71
66
52
65
71
78
56
53
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.

3 answers

To create a stem-and-leaf plot using the digits 4, 5, 6, and 7 as the stems, we first need to sort the data and then categorize each temperature observation by its tens digit (the stem) and its units digit (the leaf).

Given Data:

65, 48, 64, 56, 76, 69,
58, 53, 48, 61, 61, 51,
67, 66, 68, 63, 77, 73,
77, 67, 59, 70, 64, 57,
53, 58, 52, 51, 58, 60,
52, 56, 71, 66, 52, 65,
71, 78, 56, 53

Sorted Data:

48, 48, 51, 51, 52, 52, 52,
53, 53, 53, 56, 56, 56, 57,
58, 58, 58, 59, 60, 61, 61,
63, 64, 64, 65, 65, 66, 66,
67, 67, 68, 69, 70, 71, 71,
73, 76, 77, 77, 78

Stem-and-Leaf Plot:

  • Stem 4: 8, 8
  • Stem 5: 1, 1, 2, 2, 2, 3, 3, 3, 6, 6, 6, 7, 8, 8, 8, 9
  • Stem 6: 0, 1, 1, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 9
  • Stem 7: 0, 1, 1, 3, 6, 6, 7, 7, 8

Final Stem-and-Leaf Plot:

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

This outlines the temperatures above with the specified stems. Each line connects the stem (the leading digit) to its corresponding leaves (the following digits).

recheck the 7 stem

Let's re-evaluate the data for the stem "7" and ensure all observations are accurately represented.

From the previously sorted data, the section corresponding to stem values of 7 should include:

  • 77 (two occurrences)
  • 76 (one occurrence)
  • 78 (one occurrence)

Confirming the sorted temperatures:

.... [before 7] ....
73, 76, 77, 77, 78

So, the leaves for stem 7 should be:

  • Stem 7: 3, 6, 6, 7, 7, 8

Now, compiling it all together accurately, the corrected stem-and-leaf plot will be:

Corrected Stem-and-Leaf Plot:

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

Each stem is associated with its leaves, and the numbers are accurately represented. Thank you for pointing that out!