Final answer:
The greatest number of cans collected, as shown in the stem-and-leaf plot, is 46.
Step-by-step explanation:
The question asks us to determine the greatest number of cans collected using the data provided in a stem-and-leaf plot. A stem-and-leaf plot displays data where the stem is the first digit(s) and the leaf is the last significant digit. In this case, the stems are 3 and 4, and the leaves are numbers that represent the exact amount of cans collected by appending them to the corresponding stems.
The stem-and-leaf plot provided is as follows:
- 3 | 1
- 4 | 2 4 4 4 5 5 5 6 6 6
To find the greatest number collected, we look for the largest leaf in the plot and attach it to the largest stem. Here, the biggest leaf is 6, which corresponds to the stem of 4, making 46 the greatest number of cans collected.