Final answer:
To create a stem-and-leaf plot with the data 12, 14, 15, 22, 25, 27, 29, 30, 31, and 42, divide each number into a stem and a leaf. Arrange the stems in ascending order and write the corresponding leaves next to each stem.
Step-by-step explanation:
A stem-and-leaf plot is a graphical representation of data that shows the distribution of a given set of numbers. To create a stem-and-leaf plot with the data 12, 14, 15, 22, 25, 27, 29, 30, 31, and 42, we start by dividing each number into a stem and a leaf. The stem is the leading digit(s), while the leaf is the final significant digit. In this case, the stems are 1, 2, and 3. The leaves are 2, 4, 5, 7, 9, 0, 1, 2, and 2. We can then arrange the stems in ascending order and write the corresponding leaves next to each stem. The stem-and-leaf plot for the given data is:
1 | 2 4 5
2 | 2 5 7 9
3 | 0 1 2