You can not insert an array directly to mysql as mysql doesn't understand php data types. Mysql only understands SQL. So to insert an array into a mysql database you have to convert it to an sql statement. This can be done manually or by a library. The output should be an INSERT statement.
Here is a standard mysql insert statement.
INSERT INTO TABLE1(COLUMN1, COLUMN2, ....) VALUES (VALUE1, VALUE2..)
If you have a table with name fbdata with the columns which are presented in the keys of your array you can insert with this small snippet. Here is how your array is converted to this statement.
$columns = implode(", ",array_keys($insData));
$escaped_values = array_map('mysql_real_escape_string', array_values($insData));
$values = implode(", ", $escaped_values);
$sql = "INSERT INTO `fbdata`($columns) VALUES ($values)";
Update for PHP7
Since PHP 5.5 mysql_real_escape_string has been deprecated and as of PHP7 it has been removed. See: http://php.net/manual/en/mysqli.real-escape-string.php