Write a query to retrieve the players with a batting average greater than the average batting average of their country, along with their player name, country, and batting average, Order the results by the batting average in descending order.

Tables Schema as Below:

CricketPlayer

columnName dataType

player$\_$id INTEGER

player$\_$name TEXT

country TEXT

batting$\_$style TEXT

bowling$\_$style TEXT

matches$\_$played INTEGER

runs$\_$scored INTEGER

wickets$\_$taken INTEGER

batting$\_$average DECIMAL$(5,2)$

bowling$\_$average DECIMAL$(5,2)$

Team

columnName dataType

team$\_$id INTEGER

team$\_$name TEXT

country TEXT

coach TEXT

captain TEXT

player$\_$id INTEGER