areTo produce a stem and leaf plot, we should follow these steps:
Step 1- Rearrange the numbers in ascending or descending order: This will make the plotting of the stem and leaf plot a lot easier.
Step 2- Next, we select the stems from each number in the data. the stem is the first digit in the number in consideration. For example, the stem of 16 is 1 because it is the first digit. We do this selection of stems for all the numbers in the dataset.
Step 3- Next, we select the leaves. The leaves are the digits that come after the stem in a number. For example, in the number 16, while 1 is the stem, 6 is the leaf of the number.
Step 4- We arrange the stems and leaves in a table and this represents the stem and leaf plot.
With this information, we can proceed to solve the question
Solution
Step 1:
Rearranging the numbers, we have:
12, 14, 16, 17, 18, 18, 19, 20, 22, 23, 24, 25, 25, 25, 26, 26, 29, 29, 32, 33, 35, 37, 38, 38, 39
Step 2:
The stems of this data are just the first digit of each number.
12, 14, 16, 17, 18, 18, 19 all have a stem of 1
20, 22, 23, 24, 25, 25, 25, 26, 26, 29, 29 all have a stem of 2
32, 33, 35, 37, 38, 38, 39 all have a stem of 3.
Thus, the stems of this data are: 1, 2, and 3.
Step 3:
The leaves of the data are the second digits of the numbers. Thus, we have that
The leaves of these numbers 12, 14, 16, 17, 18, 18, 19 are: 2, 4, 6, 7, 8, 8, 9.
The leaves of these numbers 20, 22, 23, 24, 25, 25, 25, 26, 26, 29, 29 are: 0, 2, 3, 4, 5, 5, 6, 6, 9, 9
The leaves of these numbers 32, 33, 35, 37, 38, 38, 39 are: 2, 3, 5, 7, 8, 8, 9.
Step 4:
Thus, we can proceed to generate the leaf plot as follows: