1. **State the problem:** Find the median of the data represented by the stem-and-leaf plot.
2. **List all data values from the stem-and-leaf plot:**
- From stem 1: 14, 17
- From stem 2: 20, 21, 24
- From stem 3: 30, 31
- From stem 4: 43, 45, 47, 49
- From stem 5: 50, 51, 51, 55, 56
- From stem 6: 64, 66
3. **Combine all values in order:**
$$14, 17, 20, 21, 24, 30, 31, 43, 45, 47, 49, 50, 51, 51, 55, 56, 64, 66$$
4. **Count the total number of data points:**
There are 18 values.
5. **Find the median position:**
Since 18 is even, median is the average of the $\frac{18}{2} = 9^{th}$ and $\left(\frac{18}{2} + 1\right) = 10^{th}$ values.
6. **Identify the 9th and 10th values:**
- 9th value: 45
- 10th value: 47
7. **Calculate the median:**
$$\text{Median} = \frac{45 + 47}{2} = \frac{92}{2} = 46$$
**Final answer:** The median of the data is **46**.
Median Stemplot A39591
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.