Write SQL query to solve given problem: What is the monthly average number of products shipped via Federal Shipping for the year 1996?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT CAST(SUM(T1.ShipVia) AS REAL) / 12 FROM Orders AS T1 INNER JOIN Shippers AS T2 ON T1.ShipVia = T2.ShipperID WHERE T2.CompanyName = 'Federal Shipping' AND T1.ShippedDate LIKE '1996%'