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Marmaduke is a member of the Boy Scouts of America, despite being a large dog rather than a boy. He has developed the sole shared characteristic of all Boy Scouts: the compulsive need to help old ladies across the street, even if it means dropping everything you're doing (like being walked by your owner-man) and physically harming the old lady (in this case, by biting a chunk out of her arm).
Marmaduke's Owner-Man vainly attempts to exert control over the situation by doing a racist World War II-era impersonation of Hideki Tojo.