Quickly Check the size of tables in MBs

table_sizes.sql

SELECT 
     table_schema as `Database`, 
     table_name AS `Table`, 
     round(((data_length + index_length) / 1024 / 1024), 2) `Size in MB` 
FROM information_schema.TABLES WHERE information_schema.TABLES.table_schema = 'your_database_name'
ORDER BY (data_length + index_length) DESC;