ENIGMA 1541 — Box clever

by Susan Denham

Put a digit in each of the following boxes so that (counting all the occurrences of digits in this Enigma from here until the final question) the following statements are true.

The number of occurrences of the digit 0 is    
The number of occurrences of the digit 1 is    
The number of occurrences of the digit 2 is    
The number of occurrences of the digit 3 is    
The number of occurrences of the digit 4 is    
The number of occurrences of the digit 5 is    
The number of occurrences of the digit 6 is    
The number of occurrences of the digits 7, 8 and 9 is    
The average of the previous boxes is    
The highest of the number of occurrences of 0, 1, 2 and 3 is    
Please list in order the digits in the boxes.