To create a stem-and-leaf plot from the given data, we start by organizing the numbers into stems and leaves. The "stem" will represent the tens place of the numbers, and the "leaf" will represent the units (ones) place.
Let's first organize the given data:
Data:
- 38
- 53
- 53
- 56
- 69
- 89
- 94
- 41
- 58
- 68
- 66
- 69
- 89
- 52
- 50
- 70
- 83
- 81
- 80
- 90
- 74
- 50
- 70
- 83
- 59
- 75
- 78
- 73
- 92
Sorting the data: The sorted list is:
- 38
- 41
- 50
- 50
- 52
- 53
- 53
- 56
- 58
- 59
- 66
- 68
- 69
- 69
- 70
- 70
- 73
- 74
- 75
- 78
- 80
- 81
- 83
- 83
- 89
- 89
- 90
- 92
- 94
Stem-and-Leaf Plot Construction:
- Identify the stems (the tens digit).
- List the leaves (the units digit) for each stem.
- Sort the leaves in ascending order for each stem.
Stem-and-Leaf Plot:
Stem | Leaf
-------------
3 | 8
4 | 1
5 | 0 0 2 3 3 6 8 9
6 | 6 8 9 9
7 | 0 0 3 4 5 8
8 | 0 1 3 3 9 9
9 | 0 2 4
Analysis of Results:
- The smallest number in the dataset is 38, and the largest is 94.
- The data are mostly clustered in the 50s to 80s range, indicating higher frequency calls in that range.
- The 50s show the most leaves (8 calls), indicating it is quite common for executives to make between 50 to 59 calls in a week.
- There is a noticeable drop in frequency for calls in the 90s, with only a couple of instances (90, 92, and 94).
- The high values (in the 80s and 90s) appear infrequently compared to the lower values.
Overall, the stem-and-leaf plot provides a visual representation of the distribution of calls made by the executives, indicating that most of them tend to make a moderate number of calls during the week.