partial credit, 5.6.23 Question Help A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages. 65​, 40​, 47​, 47​, 33​, 55​, 44​, 49​, 46​, 22​, 58​, 65​, 56​, 41​, 63​, 65​, 54​, 42​, 58​, 29​, 39​, 66 ​, 49​, 42​, 34​, 36​, 42​, 35​, 21​, 44​, 61​, 35​, 33​, 42​, 27​, 30​, 46​, 33​, 3 5​, 58. Construct a​ stem-and-leaf plot for the data. Complete parts a. and b. a. Determine the leaves for each corresponding stem. Complete the table below. ​(Use a comma to separate answers as​ needed.) Stem -Leaves stem is 2-6

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Based off of the information, the stem and leaf plot would look something like this.
2| 1 2 9
3| 0 3 3 3 4 5 5 5 6 9
4| 0...
5|
6|
While it is tricky, it is easy. Part A is solved after you write out the full list, I hope this helps you get started.

To solve such problems we need to know about stem-and-leaf plot.

Stem-and-Leaf plot

A stem and leaf is a special kind of table that helps to read the data more quickly.

To convert data values in a stem-and-leaf plot, we divide the data given in as the first digit, and the last digit. therefore, entering the first value as a stem and the last one as a leaf. The values of the leaf are separated by a comma while the stem and leaf are separated by a line(|).

For example, 42, 34, 48, etc.

Here 42 and 48 values will be written in stem 4 as their first digit is 4, while 2 and 8 will be entered in the leaf side.

Similarly, 3 will be the stem, and 4 will be the leaf for value 34.

4| 2, 8

3| 4

Given to us,

65​, 40​, 47​, 47​, 33​, 55​, 44​, 49​, 46​, 22​, 58​, 65​, 56​, 41​, 63​, 65​, 54​, 42​, 58​, 29​, 39​, 66 ​, 49​, 42​, 34​, 36​, 42​, 35​, 21​, 44​, 61​, 35​, 33​, 42​, 27​, 30​, 46​, 33​, 35​, 58.

As given in the question that the stem and Leaves are to be separated by a hyphen.

Stem-and-Leaf plot

6 -  5, 5, 3, 5, 6, 1

5 -  5, 8, 6, 4, 8, 8

4 -  0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6

3 -  3, 9, 4, 6, 5, 5, 3, 0, 3, 5

2 -  2, 9, 1, 7

Now, answering the questions,

The leaves for each corresponding stem.

As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.

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