To construct a stem-and-leaf diagram, we first need to organize the data into stems (the tens place) and leaves (the ones place). Here's the data sorted in ascending order:

40, 45, 47, 49, 56, 57, 62, 62, 63, 66, 71, 72, 76, 79, 79

Now, we'll separate the tens and ones digits to form the stem-and-leaf plot. Here's the result:

Stem-and-Leaf Diagram:

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

Explanation:

• The stem represents the tens digit of the numbers.
• The leaf represents the ones digit of the numbers.

Would you like any further explanation on how to read or interpret this diagram? Or do you have any questions?

Related Questions:

1. How do you interpret a stem-and-leaf diagram to find the median?
2. What is the difference between a stem-and-leaf diagram and a histogram?
3. How can you calculate the range of a dataset from a stem-and-leaf plot?
4. What does it mean if a stem-and-leaf diagram is skewed?
5. How can you use a stem-and-leaf diagram to detect outliers in a dataset?

Tip: When creating a stem-and-leaf diagram, always sort the data first to ensure it is easy to separate and organize correctly.