Answer :

To find the average number of students in each homeroom, follow these steps:

1. List the number of students in each homeroom:
- 37, 41, 34, 38, 33, and 36.

2. Find the total number of students by adding the numbers together:
- [tex]\( 37 + 41 + 34 + 38 + 33 + 36 = 219 \)[/tex]

3. Count the number of homerooms:
- There are 6 homerooms.

4. Calculate the average number of students per homeroom:
- The average is found by dividing the total number of students by the number of homerooms.
- [tex]\( \text{Average} = \frac{\text{Total Number of Students}}{\text{Number of Homerooms}} = \frac{219}{6} = 36.5 \)[/tex]

So, the average number of students in each homeroom at Lincoln School is 36.5.