The ages (in years) of 10 teachers in a school are \( 32,44,53,47,37,54,34,36,40,50 \). Find the median age.

To find the **median** age of the 10 teachers, follow these steps: 1. **List the Ages:** \[ 32,\,44,\,53,\,47,\,37,\,54,\,34,\,36,\,40,\,50 \] 2. **Sort the Ages in Ascending Order:** \[ 32,\,34,\,36,\,37,\,40,\,44,\,47,\,50,\,53,\,54 \] 3. **Determine the Median:** - Since there are **10** data points (an even number), the median is the average of the 5th and 6th values in the sorted list. - **5th value:** 40 - **6th value:** 44 4. **Calculate the Median:** \[ \text{Median} = \frac{40 + 44}{2} = \frac{84}{2} = 42 \] **Therefore, the median age of the teachers is 42 years.**