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. Identify the stems and leaves. The data ranges from 21 to 69, so stems will be from 2 to 6 (representing tens). 2. List each stem and record the leaves (ones digit) for each number. Stem | Leaves -----|------- 2 | 1, 3, 6, 9 3 | 0, 0, 1, 2, 3, 4, 6, 8, 9 4 | 0, 0, 1, 1, 2, 2, 3, 4, 6, 8 5 | 2, 6, 8 6 | 0, 2, 3, 3, 7, 9 3. Arrange leaves in ascending order for each stem. The stem represents tens, and leaves represent units. The plot is now complete.