To find the median age from the stem-and-leaf plot, we first need to list out all the ages represented in the plot.
From the given stem-and-leaf 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, let's list all the ages:
- 28
- 31
- 32
- 34
- 42
- 47
- 49
- 54
Now we count the total number of ages: There are 8 ages.
To find the median:
- Since there is an even number of observations (8), the median will be the average of the 4th and 5th ages when the ages are sorted.
- The sorted list of ages is: 28, 31, 32, 34, 42, 47, 49, 54
The 4th and 5th ages are:
- 4th age: 34
- 5th age: 42
Now, we calculate the median:
\[ \text{Median} = \frac{34 + 42}{2} = \frac{76}{2} = 38 \]
Thus, the median age is 38 years.