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in reply to Sorting integer value hash keys

Because sort does an alphabetic sort by default. If you want to do a numerical sort, you must provide the sort routine yourself as a code block:
sort {$a <=> $b} keys %statistics

Try perldoc -f sort for more info.

CountZero

A program should be light and agile, its subroutines connected like a string of pearls. The spirit and intent of the program should be retained throughout. There should be neither too little or too much, neither needless loops nor useless variables, neither lack of structure nor overwhelming rigidity." - The Tao of Programming, 4.1 - Geoffrey James