To find the median age from the stem-and-leaf plot, we first need to extract all the ages represented in the plot.
From the plot:
- The stem "2" with leaf "8" represents the age 28.
- The stem "3" with leaves "1 2 4" represents the ages 31, 32, and 34.
- The stem "4" with leaves "2 7 9" represents the ages 42, 47, and 49.
- The stem "5" with leaf "4" represents the age 54.
Now we list all the ages in order:
- 28
- 31
- 32
- 34
- 42
- 47
- 49
- 54
Now, we have 8 ages total. To find the median, we locate the middle value(s):
- Since there are an even number of data points (8), the median will be the average of the 4th and 5th values.
The 4th value is 34 and the 5th value is 42.
Now we calculate the median: \[ \text{Median} = \frac{34 + 42}{2} = \frac{76}{2} = 38 \]
Thus, the median age is 38 years.