Stem Leaf Plot 06Bbe6
1. **State the problem:** We are given a set of student heights in inches: 67, 70, 71, 61, 71, 67, 69, 68, 66, 65, 67, 67, 64, 71, 69, 67, 67, 64, 62, 69.
2. **Create a stem-and-leaf plot:** The stem is the tens digit, and the leaf is the units digit.
- Stem 6: Leaves are the units digits of all heights in the 60s.
- Stem 7: Leaves are the units digits of all heights in the 70s.
3. **Sort and list leaves for each stem:**
- For stem 6 (60s): Heights are 61, 62, 64, 64, 65, 66, 67, 67, 67, 67, 67, 68, 69, 69, 69
Leaves: 1, 2, 4, 4, 5, 6, 7, 7, 7, 7, 7, 8, 9, 9, 9
- For stem 7 (70s): Heights are 70, 71, 71, 71
Leaves: 0, 1, 1, 1
4. **Stem-and-leaf plot:**
$$
\begin{array}{c|l}
\text{Stem} & \text{Leaves} \\
\hline
6 & 1, 2, 4, 4, 5, 6, 7, 7, 7, 7, 7, 8, 9, 9, 9 \\
7 & 0, 1, 1, 1
\end{array}
$$
5. **Analyze the data based on the plot:**
- Most data points are in the 60s.
- The mode (most frequent leaf) in the 60s is 7 (67 appears 5 times).
- The data is slightly skewed towards the higher 60s and low 70s.
- The minimum height is 61 and the maximum height is 71.
6. **Summary:** The stem-and-leaf plot shows a concentration of heights around 67 inches, with a few students reaching 70 and 71 inches.
Final answer: The stem-and-leaf plot is as shown above, and the data is mostly clustered around 67 inches with a range from 61 to 71 inches.