Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_name_38 ( enrollment INTEGER, founded VARCHAR, control VARCHAR, location VARCHAR )

### Question ###
What is the enrollment number for the public institution in Golden, Colorado founded after 1874?

### Accurate SQL ###

SELECT AVG(enrollment) FROM table_name_38 WHERE control = "public" AND location = "golden, colorado" AND founded > 1874