To find the median age from the stem-and-leaf plot, we first need to extract the ages from the plot.
From the plot:
- 2 | 8 → 28
- 3 | 1 2 4 → 31, 32, 34
- 4 | 2 7 9 → 42, 47, 49
- 5 | 4 → 54
Now, listing all the ages in order:
- 28
- 31
- 32
- 34
- 42
- 47
- 49
- 54
Now, we count the total number of data points. There are 8 ages in total.
To find the median, we:
- If the number of data points is odd, the median is the middle number.
- If the number of data points is even, the median is the average of the two middle numbers.
Since 8 is even, we take the average of the 4th and 5th values in the sorted list:
- The 4th number is 34.
- The 5th number is 42.
Now, we calculate the median:
\[ \text{Median} = \frac{34 + 42}{2} = \frac{76}{2} = 38 \]
Thus, the median age is 38.