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_8934 ( "Rank" real, "Nation" text, "Gold" real, "Silver" real, "Bronze" real, "Total" real )

### Question ###
What's the average amount of Gold medals won when there were more than 1 silver medal won and less than 2 bronze medals won.

### Accurate SQL ###

SELECT AVG("Gold") FROM table_8934 WHERE "Silver" > '1' AND "Bronze" < '2'