Below is an context that describes a sql query, paired with an question that provides further information. Write an answer that appropriately completes the request.  # noqa: E501
### Context:
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?
### Answer:
SELECT AVG(enrollment) FROM table_name_38 WHERE control = "public" AND location = "golden, colorado" AND founded > 1874