Question: A random sample of 40 college professors is selected from all professors at a university. The…

A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages. Construct a stem and leaf plot for the data.

60, 40, 48, 46, 30, 58, 49, 42, 49, 29, 58, 67, 56, 48, 63, 63, 59, 40, 52, 21, 31, 60, 42, 40, 36, 38, 41, 32, 23, 44, 69, 39, 34, 41, 26, 33, 41, 30, 32, 52.

Solution

To construct a stem and leaf plot, follow these steps: 1. Separate the stem from the leaf. The stem will consist of the tens digit, and the leaf will be the units digit of each age. 2. Organize the data. Order the ages from smallest to largest for clarity. 21, 23, 26, 29, 30, 30, 30, 32, 32, 33, 34, 36, 36, 38, 39, 40, 40, 40, 41, 41, 41, 42, 42, 44, 46, 48, 48, 49, 49, 52, 52, 56, 58, 58, 59, 60, 60, 63, 67, 69 3. Create the stem and leaf plot. The stem values will be the tens digits (2, 3, 4, 5, 6), and the leaves will be listed in increasing order next to each stem. \[ \begin{array}{l|l} \text{Stem} & \text{Leaf} \\ \hline 2 & 1, 3, 6, 9 \\ 3 & 0, 0, 0, 2, 2, 3, 4, 6, 6, 8, 9 \\ 4 & 0, 0, 0, 1, 1, 1, 2, 2, 4, 6, 8, 8, 9, 9 \\ 5 & 2, 2, 6, 8, 8, 9 \\ 6 & 0, 0, 3, 7, 9 \\ \end{array} \] The stem-and-leaf plot displays the ages in an organized manner, showing the distribution of the sample data.