Final answer:
A stem-and-leaf plot for the given ages can be created by separating the ones and tens digits.
Step-by-step explanation:
The student asked to fill in the blank of a stem-and-leaf plot with the ages of people sitting around a table at a family reunion. A stem-and-leaf plot is a way to display data that helps to visualize the distribution of numbers. Here we have the ages: 35, 2, 44, 36, 6, 7, 21, 68, 45, and 29.
To create a stem-and-leaf plot, we need to separate each number into a stem (the first digit or digits) and a leaf (the last digit). For the given ages:
- 2, 6, and 7 would have a stem of 0 (as they are less than 10).
- 21 and 29 would have a stem of 2.
- 35 and 36 would have a stem of 3.
- 44 and 45 would have a stem of 4.
- 68 would have a stem of 6.
Finally, we arrange these stems and leaves into a plot that looks like this:
- 0 | 2 6 7
- 2 | 1 9
- 3 | 5 6
- 4 | 4 5
- 6 | 8
Each 'leaf' represents a single digit in the 'ones' place, and the 'stem' represents the 'tens' place. Note that the leaves for each stem are ordered from smallest to largest.